Vanishing relaxation time limit of the Jordan--Moore--Gibson--Thompson wave equation with Neumann and absorbing boundary conditions

zbMath1461.35156arXiv1902.10606MaRDI QIDQ5855970

Publication date: 23 March 2021

Full work available at URL: https://arxiv.org/abs/1902.10606

energy method singular limit third order in time PDE

Optimality conditions for problems involving partial differential equations (49K20) Asymptotic behavior of solutions to PDEs (35B40) Optimization of shapes other than minimal surfaces (49Q10) Degenerate hyperbolic equations (35L80) Second-order quasilinear hyperbolic equations (35L72) Higher-order quasilinear hyperbolic equations (35L77)

Related Items (9)

The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation ⋮ Global existence for the Jordan-Moore-Gibson-Thompson equation in Besov spaces ⋮ Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation ⋮ Analysis of general shape optimization problems in nonlinear acoustics ⋮ Analysis of a thermoelastic problem with the Moore-Gibson-Thompson microtemperatures ⋮ Continuous dependence and convergence for Moore-Gibson-Thompson heat equation ⋮ Vanishing relaxation time dynamics of the Jordan Moore-Gibson-Thompson equation arising in nonlinear acoustics ⋮ The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations ⋮ Boundary feedback stabilization of a critical nonlinear JMGT equation with Neumann-undissipated part of the boundary

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