Breakdown of smooth solutions in dissipative nonlinear hyperbolic equations (original) (raw)
Related papers
Travelling waves in nonlinearly viscoelastic media and shock structure in elastic media
Quarterly of Applied Mathematics, 1988
Hyperbolic Phenomena in the Flow of Viscoelastic Fluids
Viscoelasticity and Rheology, 1985
On the behavior in time of solutions to motion of Non-Newtonian fluids
Nonlinear Differential Equations and Applications NoDEA, 2020
ESAIM: Mathematical Modelling and Numerical Analysis
Dynamics of Viscoelastic Fluids
Thermodynamics of Materials with Memory, 2011
Nonlinear damped wave equation arising in viscoelastic fluid flows
Applied Mathematics Letters, 2007
Phenomenological description of two-velocity media with relaxing tangential stresses
Journal of Applied Mechanics and Technical Physics, 1992
Non-linear dissipative waves in viscoanelastic media
Physica D: Nonlinear Phenomena, 1985
On some unsteady flows of a non-Newtonian fluid
Applied Mathematical Modelling, 2007
SIAM Journal on Mathematical Analysis, 2005
On the asymptotic behavior of a linear viscoelastic fluid
Mathematical Methods in the Applied Sciences, 2012
On Zero Mass Solutions of Viscous Conservation Laws
Communications in Partial Differential Equations, 2002
Break-up and no break-up in a family of models for the evolution of viscoelastic jets
Zeitschrift für angewandte Mathematik und Physik, 2003
Asymptotic decay and non-rupture of viscous sheets
Zeitschrift für angewandte Mathematik und Physik
Long time behavior for one-dimensional motion of a general barotropic viscous fluid
Arch Ration Mech Anal, 1989
Journal of the Mathematical Society of Japan, 2003
Initial value problems for creeping flow of Maxwell fluids
Nonlinear Analysis: Theory, Methods & Applications, 2011
A stability investigation for an incompressible simple fluid with fading memory
Archive for Rational Mechanics and Analysis, 1980
On the nonlinear initial boundary value problem for the equation of viscoelasticity
Nonlinear Analysis: Theory, Methods & Applications
Viscoelastic flows with conservation laws
ArXiv, 2019
Development of singularities in solutions of the equations of nonlinear thermoelasticity
Quarterly of Applied Mathematics
On the Singular Times of Fluids with Nonlinear Viscosity
Journal of Mathematical Analysis and Applications, 2001
Nonlinear Stability of Travelling Wave Solutions for Viscoelastic Materials with Fading Memory
Journal of Differential Equations, 1996
Mathematical Models in Dynamics of Incompressible Viscoelastic Media
2010
Communications in Partial Differential Equations, 2010
Journal of Mathematical Analysis and Applications, 1998
On a Class of Unsteady Motions of Elastico Viscous Liquids
ASME Winter Annual Meeting, Dallas, Texas, Volume: FED-Vol. 102, PVP-Vol. 204, p. 35-38; ISBN No. 0-7918-0578-6, 1990
Instability of viscoelastic plane Couette flow past a deformable wall
Journal of Non-Newtonian Fluid Mechanics, 2004
Journal of Mathematical Sciences, 2007
Finite time localized solutions of fluid problems with anisotropic dissipation
2007
On the stability of elastico-viscous flows
Rheologica Acta, 1968
On the stability of the simple shear flow of a Johnson–Segalman fluid
Journal of Non-Newtonian Fluid Mechanics, 1998
A counterexample to the smoothness of the solution to an equation arising in fluid mechanics
2001
Vanishing viscosity solutions of nonlinear hyperbolic systems
Annals of Mathematics, 2005