Global Solutions for Incompressible Viscoelastic Fluids

We prove the existence of both local and global smooth solutions to the Cauchy problem in the whole space and the periodic problem in the n -dimensional torus for the incompressible viscoelastic system of Oldroyd-B type in the case of near- equilibrium initial data. The results hold in both two- and...

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Bibliographic Details
Published in:	Archive for rational mechanics and analysis Vol. 188; no. 3; pp. 371 - 398
Main Authors:	lei, Zhen, Liu, Chun, Zhou, Yi
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer-Verlag 01.06.2008 Springer Springer Nature B.V
Subjects:	Classical Mechanics Complex Systems Exact sciences and technology Fluid dynamics Fluid- and Aerodynamics Fundamental areas of phenomenology (including applications) General theory Magnetohydrodynamics and electrohydrodynamics Mathematical and Computational Physics Mathematical methods in physics Numerical approximation and analysis Ordinary and partial differential equations, boundary value problems Physics Physics and Astronomy Solid mechanics Static elasticity (thermoelasticity...) Structural and continuum mechanics Studies Theoretical Global Solution Global Existence Deformation Tensor Strain Energy Function Nonlinear Wave Equation Viscoelastic fluid Viscoelasticity Magnetohydrodynamics Tori Oldroyd fluid Fluid-structure interactions Incompressible fluid Liquid crystals Liquid mixtures Global solution Global local method Cauchy problem
ISSN:	0003-9527, 1432-0673
Online Access:	Get full text
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