Acoustic wave propagation in anisotropic media with applications to piezoelectric materials

DOI10.1080/00036811.2020.1767286OpenAlexW3026475822MaRDI QIDQ3389515

Eric Stachura

Publication date: 23 March 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1767286

zbMATH Keywords

stabilityCauchy problemanisotropyacousticspiezoelectricity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Electromagnetic effects in solid mechanics (74F15) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Liquid-gas two-phase flows, bubbly flows (76T10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Abstract hyperbolic equations (35L90) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Cites Work

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• The time dependent Maxwell system with measurable coefficients in Lipschitz domains
• Eigenvalues of a real supersymmetric tensor
• Initial-boundary value problems for linear hyperbolic partial differential equations of the second order
• Stability in linear elasticity
• Simulation of Acoustic Wave Propagation in Anisotropic Media Using Dynamic Programming Technique
• Viscosity Solutions of Hamilton-Jacobi Equations
• One-Parameter Semigroups for Linear Evolution Equations
• The domain of dependence inequality for symmetric hyperbolic systems
• Spectral analysis of the Pekeris operator in the theory of acoustic wave propagation in shallow water

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