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Papers by Colette Guillope

Research paper thumbnail of Non-Newtonian Fluids

Encyclopedia of Mathematical Physics, 2006

Research paper thumbnail of Modélisation Mathématique et Analyse Numérique

Research paper thumbnail of Non-Newtonian Fluids

Research paper thumbnail of A Global Approach to the Gender Gap in Mathematical, Computing, and Natural Sciences: How to Measure It, How to Reduce It?

Zenodo (CERN European Organization for Nuclear Research), Jun 6, 2020

Research paper thumbnail of Existence results for the flow of viscoelastic fluids with a differential constitutive law

Nonlinear Analysis-theory Methods & Applications, 1990

Research paper thumbnail of Effets inégalitaires sur les femmes et hommes scientifiques de la pandémie de COVID-19 en France

Presses de l'Université du Québec eBooks, Apr 5, 2023

Research paper thumbnail of Le harcèlement sexuel dans l'enseignement supérieur et la recherche : vade-mecum à l'usage des établissements

Ce guide a pour ambition d’accompagner les établissements d’enseignement supérieur et de recherch... more Ce guide a pour ambition d’accompagner les établissements d’enseignement supérieur et de recherche dans la mise en place d’actions contre le harcèlement sexuel. En complément du guide du CLASCHES paru en 2014, rédigé principalement à l’attention des victimes, ce vade-mecum s’adresse aux établissements, qui sont souvent en attente de conseils et de partage d’expériences. Il décrit des exemples de prise en charge institutionnelle des situations de harcèlement sexuel, de formations destinées à sensibiliser les différents acteurs et actrices des établissements, pour les aider à mettre en place leur propre politique, en fonction du contexte qui est le leur. Ces contextes et modalités de prise en charge pouvant varier fortement d’un établissement à l’autre, l’objet du vade-mecum est de présenter les différentes options et les arguments en faveur des unes ou des autres

Research paper thumbnail of Women in mathematics in France

http://www.doria.fi/bitstream/handle/10024/66221/TUCSGeneral53.pdfInternational audienceThis pape... more http://www.doria.fi/bitstream/handle/10024/66221/TUCSGeneral53.pdfInternational audienceThis paper discusses the current status of women mathematicians in France. Recent sex-disaggregated data for universities and research institutes reveal how the situation of women mathematicians is dete- riorating in France. The paper describes the actions of the associations of women scientists or engineers in France to promote sciences towards young people and to help improve the situation of women. The paper ends by analysing the recent government programs being implemented in the past ten years

Research paper thumbnail of Résultats d'existence pour les fluides viscoélastiques à loi de comportement de type différentiel

In this Note viscoelastic fluids which obey an Oldroyd type constitutive law with retardation tim... more In this Note viscoelastic fluids which obey an Oldroyd type constitutive law with retardation time are considered. For the mixed Cauchy problem with homogeneous Dirichlet conditions, the local existence of smooth solutions is shown. Then a global existence result for solutions with small data is proved On considere des fluides du type Oldroyd avec temps de retard. On montre, pour le probleme de Cauchy mixte avec conditions de Dirichlet homogenes, l'existence locale de solutions regulieres. On demontre aussi l'existence de solutions lorsque les donnees sont petites

Research paper thumbnail of Large-time existence for one-dimensional Green-Naghdi equations with vorticity

Discrete & Continuous Dynamical Systems - S, 2021

This essay is concerned with the one-dimensional Green-Naghdi equations in the presence of a non-... more This essay is concerned with the one-dimensional Green-Naghdi equations in the presence of a non-zero vorticity according to the derivation in [5], and with the addition of a small surface tension. The Green-Naghdi system is first rewritten as an equivalent system by using an adequate change of unknowns. We show that solutions to this model may be obtained by a standard Picard iterative scheme. No loss of regularity is involved with respect to the initial data. Moreover solutions exist at the same level of regularity as for first order hyperbolic symmetric systems, i.e. with a regularity in Sobolev spaces of order s > 3/2.

Research paper thumbnail of Modélisation Mathématique et Analyse Numérique

Research paper thumbnail of Comportement, lorsque <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>T</mi><mo>→</mo><mo>+</mo><mi mathvariant="normal">∞</mi></mrow><annotation encoding="application/x-tex">T\rightarrow +\infty </annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord mathnormal" style="margin-right:0.13889em;">T</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">→</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6667em;vertical-align:-0.0833em;"></span><span class="mord">+</span><span class="mord">∞</span></span></span></span>, des solutions fortes des équations de Navier-Stokes dans un ouvert borné régulier de <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msup><mi>R</mi><mi>N</mi></msup></mrow><annotation encoding="application/x-tex">R^N</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8413em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.00773em;">R</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8413em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight" style="margin-right:0.10903em;">N</span></span></span></span></span></span></span></span></span></span></span>, <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>N</mi><mo>=</mo><mn>2</mn></mrow><annotation encoding="application/x-tex">N=2</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord mathnormal" style="margin-right:0.10903em;">N</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">2</span></span></span></span> ou 3

Research paper thumbnail of global approach to the gender gap in mathematical, computing and natural sciences: How to measure it, how to reduce it?

South African Journal of Science, 2019

Research paper thumbnail of Some Existence and Stability Results for Non-Isothermal Flows of Viscoelastic Fluids

Fluid Mechanics and Its Applications, 1995

In this talk we review some mathematical results obtained for non-isothermal flows of viscoelasti... more In this talk we review some mathematical results obtained for non-isothermal flows of viscoelastic fluids having a differential constitutive equation. The effects of temperature changes in the parameters characterizing the fluid could be important in practical applications. We consider here the case of the Benard problem where a viscoelastic fluid is placed in a container heated from below as well as the effect of viscous heating on the flow.

Research paper thumbnail of Femmes & Sciences

Research paper thumbnail of Remarques sur un problème de valeurs propres non linéaires faisant intervenir des fonctions non différentiables

Lecture Notes in Mathematics, 1980

... v#rifiant 2.2. D#monstration du Lemme 2.1. Nous utiliserons une in#galit@, introduite oar R. ... more ... v#rifiant 2.2. D#monstration du Lemme 2.1. Nous utiliserons une in#galit@, introduite oar R. Temam dans ~], et #nonc#e ... n avec l~p<~ . Les r#sultats de r#gularit# oour les oroblTmes elliptiques (cf Agmon-Douglis-Nirenberg [~) montrent alors l'existence d'une constante Co(~,p) ...

Research paper thumbnail of On the behavior of the solutions of the Navier-Stokes equations lying on invariant manifolds

Journal of Differential Equations, 1986

Research paper thumbnail of Comportement à l'infini des solutions des équations de Navier-Stokes et propriété des ensembles fonctionnels invariants (ou attracteurs)

Annales de l’institut Fourier, 1982

Research paper thumbnail of Regular flows of weakly compressible viscoelastic fluids and the incompressible limit

Discrete and Continuous Dynamical Systems - Series B, 2010

ABSTRACT We consider compressible viscoelastic fluids satisfying the Oldroyd constitutive law. We... more ABSTRACT We consider compressible viscoelastic fluids satisfying the Oldroyd constitutive law. We prove the local existence (and uniqueness) of flows by a classical fixed point argument. We also prove some global properties of the solutions. In particular, we obtain some a priori estimates which are uniform in the Mach number and prove global existence of weakly compressible fluids flows. We show that weakly compressible flows with well-prepared initial data converge to incompressible ones when the Mach number converges to zero.

Research paper thumbnail of Remarques à propos du comportement, lorsque <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>t</mi><mo>→</mo><mo>+</mo><mi mathvariant="normal">∞</mi></mrow><annotation encoding="application/x-tex">t\to+\infty</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6151em;"></span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">→</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6667em;vertical-align:-0.0833em;"></span><span class="mord">+</span><span class="mord">∞</span></span></span></span>, des solutions des équations de Navier-Stokes associées à une force nulle

Bulletin de la Société mathématique de France, 1983

Remarques à propos du comportement, lorsque t → +∞, des solutions des équations de Navier-Stokes ... more Remarques à propos du comportement, lorsque t → +∞, des solutions des équations de Navier-Stokes associées à une force nulle Bulletin de la S. M. F., tome 111 (1983), p. 151-180 <http://www.numdam.org/item?id=BSMF_1983__111__151_0> © Bulletin de la S. M. F., 1983, tous droits réservés. L'accès aux archives de la revue « Bulletin de la S. M. F. » (http: //smf.emath.fr/Publications/Bulletin/Presentation.html) implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/ conditions). Toute utilisation commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/

Research paper thumbnail of Non-Newtonian Fluids

Encyclopedia of Mathematical Physics, 2006

Research paper thumbnail of Modélisation Mathématique et Analyse Numérique

Research paper thumbnail of Non-Newtonian Fluids

Research paper thumbnail of A Global Approach to the Gender Gap in Mathematical, Computing, and Natural Sciences: How to Measure It, How to Reduce It?

Zenodo (CERN European Organization for Nuclear Research), Jun 6, 2020

Research paper thumbnail of Existence results for the flow of viscoelastic fluids with a differential constitutive law

Nonlinear Analysis-theory Methods & Applications, 1990

Research paper thumbnail of Effets inégalitaires sur les femmes et hommes scientifiques de la pandémie de COVID-19 en France

Presses de l'Université du Québec eBooks, Apr 5, 2023

Research paper thumbnail of Le harcèlement sexuel dans l'enseignement supérieur et la recherche : vade-mecum à l'usage des établissements

Ce guide a pour ambition d’accompagner les établissements d’enseignement supérieur et de recherch... more Ce guide a pour ambition d’accompagner les établissements d’enseignement supérieur et de recherche dans la mise en place d’actions contre le harcèlement sexuel. En complément du guide du CLASCHES paru en 2014, rédigé principalement à l’attention des victimes, ce vade-mecum s’adresse aux établissements, qui sont souvent en attente de conseils et de partage d’expériences. Il décrit des exemples de prise en charge institutionnelle des situations de harcèlement sexuel, de formations destinées à sensibiliser les différents acteurs et actrices des établissements, pour les aider à mettre en place leur propre politique, en fonction du contexte qui est le leur. Ces contextes et modalités de prise en charge pouvant varier fortement d’un établissement à l’autre, l’objet du vade-mecum est de présenter les différentes options et les arguments en faveur des unes ou des autres

Research paper thumbnail of Women in mathematics in France

http://www.doria.fi/bitstream/handle/10024/66221/TUCSGeneral53.pdfInternational audienceThis pape... more http://www.doria.fi/bitstream/handle/10024/66221/TUCSGeneral53.pdfInternational audienceThis paper discusses the current status of women mathematicians in France. Recent sex-disaggregated data for universities and research institutes reveal how the situation of women mathematicians is dete- riorating in France. The paper describes the actions of the associations of women scientists or engineers in France to promote sciences towards young people and to help improve the situation of women. The paper ends by analysing the recent government programs being implemented in the past ten years

Research paper thumbnail of Résultats d'existence pour les fluides viscoélastiques à loi de comportement de type différentiel

In this Note viscoelastic fluids which obey an Oldroyd type constitutive law with retardation tim... more In this Note viscoelastic fluids which obey an Oldroyd type constitutive law with retardation time are considered. For the mixed Cauchy problem with homogeneous Dirichlet conditions, the local existence of smooth solutions is shown. Then a global existence result for solutions with small data is proved On considere des fluides du type Oldroyd avec temps de retard. On montre, pour le probleme de Cauchy mixte avec conditions de Dirichlet homogenes, l'existence locale de solutions regulieres. On demontre aussi l'existence de solutions lorsque les donnees sont petites

Research paper thumbnail of Large-time existence for one-dimensional Green-Naghdi equations with vorticity

Discrete & Continuous Dynamical Systems - S, 2021

This essay is concerned with the one-dimensional Green-Naghdi equations in the presence of a non-... more This essay is concerned with the one-dimensional Green-Naghdi equations in the presence of a non-zero vorticity according to the derivation in [5], and with the addition of a small surface tension. The Green-Naghdi system is first rewritten as an equivalent system by using an adequate change of unknowns. We show that solutions to this model may be obtained by a standard Picard iterative scheme. No loss of regularity is involved with respect to the initial data. Moreover solutions exist at the same level of regularity as for first order hyperbolic symmetric systems, i.e. with a regularity in Sobolev spaces of order s > 3/2.

Research paper thumbnail of Modélisation Mathématique et Analyse Numérique

Research paper thumbnail of Comportement, lorsque <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>T</mi><mo>→</mo><mo>+</mo><mi mathvariant="normal">∞</mi></mrow><annotation encoding="application/x-tex">T\rightarrow +\infty </annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord mathnormal" style="margin-right:0.13889em;">T</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">→</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6667em;vertical-align:-0.0833em;"></span><span class="mord">+</span><span class="mord">∞</span></span></span></span>, des solutions fortes des équations de Navier-Stokes dans un ouvert borné régulier de <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msup><mi>R</mi><mi>N</mi></msup></mrow><annotation encoding="application/x-tex">R^N</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8413em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.00773em;">R</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8413em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight" style="margin-right:0.10903em;">N</span></span></span></span></span></span></span></span></span></span></span>, <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>N</mi><mo>=</mo><mn>2</mn></mrow><annotation encoding="application/x-tex">N=2</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord mathnormal" style="margin-right:0.10903em;">N</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">2</span></span></span></span> ou 3

Research paper thumbnail of global approach to the gender gap in mathematical, computing and natural sciences: How to measure it, how to reduce it?

South African Journal of Science, 2019

Research paper thumbnail of Some Existence and Stability Results for Non-Isothermal Flows of Viscoelastic Fluids

Fluid Mechanics and Its Applications, 1995

In this talk we review some mathematical results obtained for non-isothermal flows of viscoelasti... more In this talk we review some mathematical results obtained for non-isothermal flows of viscoelastic fluids having a differential constitutive equation. The effects of temperature changes in the parameters characterizing the fluid could be important in practical applications. We consider here the case of the Benard problem where a viscoelastic fluid is placed in a container heated from below as well as the effect of viscous heating on the flow.

Research paper thumbnail of Femmes & Sciences

Research paper thumbnail of Remarques sur un problème de valeurs propres non linéaires faisant intervenir des fonctions non différentiables

Lecture Notes in Mathematics, 1980

... v#rifiant 2.2. D#monstration du Lemme 2.1. Nous utiliserons une in#galit@, introduite oar R. ... more ... v#rifiant 2.2. D#monstration du Lemme 2.1. Nous utiliserons une in#galit@, introduite oar R. Temam dans ~], et #nonc#e ... n avec l~p<~ . Les r#sultats de r#gularit# oour les oroblTmes elliptiques (cf Agmon-Douglis-Nirenberg [~) montrent alors l'existence d'une constante Co(~,p) ...

Research paper thumbnail of On the behavior of the solutions of the Navier-Stokes equations lying on invariant manifolds

Journal of Differential Equations, 1986

Research paper thumbnail of Comportement à l'infini des solutions des équations de Navier-Stokes et propriété des ensembles fonctionnels invariants (ou attracteurs)

Annales de l’institut Fourier, 1982

Research paper thumbnail of Regular flows of weakly compressible viscoelastic fluids and the incompressible limit

Discrete and Continuous Dynamical Systems - Series B, 2010

ABSTRACT We consider compressible viscoelastic fluids satisfying the Oldroyd constitutive law. We... more ABSTRACT We consider compressible viscoelastic fluids satisfying the Oldroyd constitutive law. We prove the local existence (and uniqueness) of flows by a classical fixed point argument. We also prove some global properties of the solutions. In particular, we obtain some a priori estimates which are uniform in the Mach number and prove global existence of weakly compressible fluids flows. We show that weakly compressible flows with well-prepared initial data converge to incompressible ones when the Mach number converges to zero.

Research paper thumbnail of Remarques à propos du comportement, lorsque <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>t</mi><mo>→</mo><mo>+</mo><mi mathvariant="normal">∞</mi></mrow><annotation encoding="application/x-tex">t\to+\infty</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6151em;"></span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">→</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6667em;vertical-align:-0.0833em;"></span><span class="mord">+</span><span class="mord">∞</span></span></span></span>, des solutions des équations de Navier-Stokes associées à une force nulle

Bulletin de la Société mathématique de France, 1983

Remarques à propos du comportement, lorsque t → +∞, des solutions des équations de Navier-Stokes ... more Remarques à propos du comportement, lorsque t → +∞, des solutions des équations de Navier-Stokes associées à une force nulle Bulletin de la S. M. F., tome 111 (1983), p. 151-180 <http://www.numdam.org/item?id=BSMF_1983__111__151_0> © Bulletin de la S. M. F., 1983, tous droits réservés. L'accès aux archives de la revue « Bulletin de la S. M. F. » (http: //smf.emath.fr/Publications/Bulletin/Presentation.html) implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/ conditions). Toute utilisation commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/