jose rodrigues - Academia.edu (original) (raw)
Papers by jose rodrigues
Lecture Notes in Mathematics, 1994
Page 1. VARIATIONAL METHODS IN THE STEFAN PROBLEM JOSI~-FRANCISCO RODRIGUES CMAF/Universidade de ... more Page 1. VARIATIONAL METHODS IN THE STEFAN PROBLEM JOSI~-FRANCISCO RODRIGUES CMAF/Universidade de Lisboa, Av. Prof. Gama Pinto, 2 1699 LISBOA Codex, PORTUGAL INTRODUCTION 1 - THE MATHEMATICAL-PHYSICS MODELS 1.1. ...
Free Boundary Value Problems, 1990
Nonlinear Differential Equation Models, 2004
This paper presents further developments in the study of strong solutions and their coincidence s... more This paper presents further developments in the study of strong solutions and their coincidence sets to the obstacle problem for linear transport operators. Under natural mild assumptions, the strong convergence of the solutions and the characteristic functions of their coincidence sets is obtained in the passage of second order to first order problems. An application to a steady-state chemotaxis problem is given. The extension to the two obstacles problem of first order is also presented, having in view an application to a porous media model in presence of saturation arising in petroleum engineering.
Mathematical Models for Phase Change Problems, 1989
North-Holland Mathematics Studies, 1987
The Mathematics of Darwin’s Legacy, 2011
Annali Dell'universita' Di Ferrara, 2006
We study the system of equations describing a stationary thermoconvective flow of a non-Newtonian... more We study the system of equations describing a stationary thermoconvective flow of a non-Newtonian fluid. We assume that the stress tensor S has the form \(\displaystyle \mathbf{S}=-P\mathbf{I}+\left( \mu (\theta )+\tau (\theta ){|\mathbf{D(u)}|}^{p(\theta )-2}\right) {\mathbf{D(u)}}, \) where u is the vector velocity, P is the pressure, θ is the temperature and μ ,p and τ are the given coefficients depending on the temperature. D and I are respectively the rate of strain tensor and the unit tensor. We prove the existence of a weak solution under general assumptions and the uniqueness under smallness conditions. Keywords: Non-Newtonian fluids, Nonlinear thermal diffusion equations, Heat and mass transfer Mathematics Subject Classification (2000): 76A05, 76D07, 76E30, 35G15
Revista da Faculdade de Direito UFPR, 2006
The Hispanic American Historical Review, 1984
... to Portuguese historiography: Fernao Lopes (the great cronista), Diogo do Couto, and Alexandr... more ... to Portuguese historiography: Fernao Lopes (the great cronista), Diogo do Couto, and Alexandre Herculano were ... my own country, believing that only in this way would I be able to understand ... One thinks of the great figures in modern history, about Jose Bonifacio de Andrada e ...
Geographical Review, 1942
Lecture Notes in Mathematics, 1994
Page 1. VARIATIONAL METHODS IN THE STEFAN PROBLEM JOSI~-FRANCISCO RODRIGUES CMAF/Universidade de ... more Page 1. VARIATIONAL METHODS IN THE STEFAN PROBLEM JOSI~-FRANCISCO RODRIGUES CMAF/Universidade de Lisboa, Av. Prof. Gama Pinto, 2 1699 LISBOA Codex, PORTUGAL INTRODUCTION 1 - THE MATHEMATICAL-PHYSICS MODELS 1.1. ...
Free Boundary Value Problems, 1990
Nonlinear Differential Equation Models, 2004
This paper presents further developments in the study of strong solutions and their coincidence s... more This paper presents further developments in the study of strong solutions and their coincidence sets to the obstacle problem for linear transport operators. Under natural mild assumptions, the strong convergence of the solutions and the characteristic functions of their coincidence sets is obtained in the passage of second order to first order problems. An application to a steady-state chemotaxis problem is given. The extension to the two obstacles problem of first order is also presented, having in view an application to a porous media model in presence of saturation arising in petroleum engineering.
Mathematical Models for Phase Change Problems, 1989
North-Holland Mathematics Studies, 1987
The Mathematics of Darwin’s Legacy, 2011
Annali Dell'universita' Di Ferrara, 2006
We study the system of equations describing a stationary thermoconvective flow of a non-Newtonian... more We study the system of equations describing a stationary thermoconvective flow of a non-Newtonian fluid. We assume that the stress tensor S has the form \(\displaystyle \mathbf{S}=-P\mathbf{I}+\left( \mu (\theta )+\tau (\theta ){|\mathbf{D(u)}|}^{p(\theta )-2}\right) {\mathbf{D(u)}}, \) where u is the vector velocity, P is the pressure, θ is the temperature and μ ,p and τ are the given coefficients depending on the temperature. D and I are respectively the rate of strain tensor and the unit tensor. We prove the existence of a weak solution under general assumptions and the uniqueness under smallness conditions. Keywords: Non-Newtonian fluids, Nonlinear thermal diffusion equations, Heat and mass transfer Mathematics Subject Classification (2000): 76A05, 76D07, 76E30, 35G15
Revista da Faculdade de Direito UFPR, 2006
The Hispanic American Historical Review, 1984
... to Portuguese historiography: Fernao Lopes (the great cronista), Diogo do Couto, and Alexandr... more ... to Portuguese historiography: Fernao Lopes (the great cronista), Diogo do Couto, and Alexandre Herculano were ... my own country, believing that only in this way would I be able to understand ... One thinks of the great figures in modern history, about Jose Bonifacio de Andrada e ...
Geographical Review, 1942