Solutions in the large for certain nonlinear parabolic systems

DOI10.1016/S0294-1449(16)30403-6zbMath0578.35044MaRDI QIDQ1066355

David Hoff, J. A. Smoller

Publication date: 1985

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1985__2_3_213_0

zbMATH Keywords

Navier-Stokes equationssmooth solutionsglobal existencegas dynamicslocal solutionentropy-entropy flux

Mathematics Subject Classification ID

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Cites Work

• The initial value problem for the equations of motion of viscous and heat-conductive gases
• Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
• Local behavior of solutions of quasilinear parabolic equations
• A class of convergent finite difference schemes for certain nonlinear parabolic systems
• Error Bounds for Finite-Difference Approximations for a Class of Nonlinear Parabolic Systems
• On some systems of quasilinear parabolic equations of the divergence type
• On the Cauchy problem for the system of fundamental equations describing the movement of compressible viscous fluid
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