Boundary observability and stabilization for Westervelt type wave equations without interior damping
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Publication:607785
DOI10.1007/s00245-010-9108-7zbMath1207.35206OpenAlexW2164641517MaRDI QIDQ607785
Publication date: 3 December 2010
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-010-9108-7
Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Observability (93B07) Second-order nonlinear hyperbolic equations (35L70)
Related Items (11)
Nonlinear acoustics and shock formation in lossless barotropic Green-Naghdi fluids ⋮ Well-posedness and longtime behavior for the Westervelt equation with absorbing boundary conditions of order zero ⋮ On the propagation of nonlinear acoustic waves in viscous and thermoviscous fluids ⋮ Nonlinearity parameter imaging in the frequency domain ⋮ \(L_p-L_q\)-theory for a quasilinear non-isothermal westervelt equation ⋮ Optimal regularity and long-time behavior of solutions for the Westervelt equation ⋮ Relaxation of regularity for the Westervelt equation by nonlinear damping with applications in acoustic-acoustic and elastic-acoustic coupling ⋮ The analyticity and exponential decay of a Stokes-wave coupling system with viscoelastic damping in the variational framework ⋮ Well-posedness of the Westervelt equation with higher order absorbing boundary conditions ⋮ Local existence results for the Westervelt equation with nonlinear damping and Neumann as well as absorbing boundary conditions ⋮ Mathematics of nonlinear acoustics
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