On higher regularity for the Westervelt equation with strong nonlinear damping
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Publication:2832370
DOI10.1080/00036811.2015.1114607zbMath1353.35093arXiv1506.02125OpenAlexW1939724218MaRDI QIDQ2832370
Vanja Nikolić, Barbara Kaltenbacher
Publication date: 11 November 2016
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.02125
Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order semilinear hyperbolic equations (35L71)
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Cites Work
- Relaxation of regularity for the Westervelt equation by nonlinear damping with applications in acoustic-acoustic and elastic-acoustic coupling
- Global existence and exponential decay rates for the Westervelt equation
- Local existence results for the Westervelt equation with nonlinear damping and Neumann as well as absorbing boundary conditions
- Quasi-Norm Local Error Estimators forp-Laplacian
- Well-posedness and Exponential Decay for the Westervelt Equation with Inhomogeneous Dirichlet Boundary Data
- A Domain Decomposition Method for the Acoustic Wave Equation with Discontinuous Coefficients and Grid Change
- Global solutions for a nonlinear wave equation with the p-laplacian operator
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