On Cauchy problems of thermal non-equilibrium flows with small data

DOI10.1007/s00574-016-0187-1zbMath1360.35205OpenAlexW2470469786MaRDI QIDQ504633

Yanni Zeng

Publication date: 17 January 2017

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-016-0187-1

zbMATH Keywords

Green's functionrelaxationhyperbolic systemmulti space dimensionspartially decaying solutionthermal non-equilibrium flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Representations of solutions to partial differential equations (35C99)

Related Items (2)

\(L^p\) decay for general hyperbolic-parabolic systems of balance laws ⋮ Global existence theory for general hyperbolic-parabolic balance laws with application

Cites Work

• Unnamed Item
• Gas flows with several thermal nonequilibrium modes
• Decay estimates for hyperbolic balance laws
• Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
• Hyperbolic conservation laws with relaxation
• Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Global existence of smooth solutions for partially dissipative hyperbolic systems with a convex entropy
• Entropy and global existence for hyperbolic balance laws
• Gas dynamics in thermal nonequilibrium and general hyperbolic systems with relaxation
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy
• Symmetric hyperbolic linear differential equations

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