Hyperbolic Navier-Stokes equations. II: Global existence of small solutions

DOI10.3934/eect.2012.1.217zbMath1371.35223OpenAlexW2312598079MaRDI QIDQ1941477

Jürgen Saal, Reinhard Racke

Publication date: 13 March 2013

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2012.1.217

zbMATH Keywords

blow-updecay rateFourier lawNavier-StokesOldroydCattaneo lawglobal small solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Second-order nonlinear hyperbolic equations (35L70) First-order nonlinear hyperbolic equations (35L60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for second-order hyperbolic systems (35L53)

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