Stability of hyperbolic-parabolic mixed type equations with partial boundary condition

DOI10.1016/j.jde.2018.02.019zbMath1391.35213OpenAlexW2790638957MaRDI QIDQ1708141

Hua-Shui Zhan, Zhao-sheng Feng

Publication date: 4 April 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.02.019

zbMATH Keywords

stabilityentropy solutionwell-posednesspartial boundary conditionhyperbolic-parabolic equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70)

Related Items (13)

Well-posed and stable problems for Prandtl's boundary layer system ⋮ The partial boundary value conditions of nonlinear degenerate parabolic equation ⋮ On a degenerate parabolic equation from double phase convection ⋮ Optimal partial boundary condition for degenerate parabolic equations ⋮ Dynamical behavior of the indirectly and locally memory-damped Timoshenko system ⋮ On solutions of a parabolic equation with nonstandard growth condition ⋮ BV entropy solutions of two-dimensional nonstationary Prandtl boundary layer system ⋮ Study of the stability to an anisotropic reaction-diffusion equation ⋮ On anisotropic parabolic equations with a nonlinear convection term depending on the spatial variable ⋮ On the solutions of a porous medium equation with exponent variable ⋮ Uniform polynomial stability of second order integro-differential equations in Hilbert spaces with positive definite kernels ⋮ The entropy solution of a reaction-diffusion equation on an unbounded domain ⋮ On a weak solution matching up with the double degenerate parabolic equation

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