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Mathematics of nonlinear acoustics (Q258819)

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scientific article; zbMATH DE number 6553351

Language	Label	Description	Also known as
English	Mathematics of nonlinear acoustics	scientific article; zbMATH DE number 6553351

Statements

scholarly article

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Mathematics of nonlinear acoustics (English)

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Barbara Kaltenbacher

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Evolution Equations and Control Theory

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publication date

10 March 2016

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zbMATH Keywords

well-posedness

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exponential decay

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regularity

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boundary control

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shape optimization

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MaRDI profile type

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full work available at URL

https://doi.org/10.3934/eect.2015.4.447

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A lagrange multiplier theorem for control problems with state constraints

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Weakly nonlinear waves in fluids of low viscosity: Lagrangian and Eulerian descriptions

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A Domain Decomposition Method for the Acoustic Wave Equation with Discontinuous Coefficients and Grid Change

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Finite element approximation of a displacement formulation for time-domain elastoacoustic vibrations.

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Optimal Control of Semilinear Multistate Systems with State Constraints

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Mixed and Hybrid Finite Element Methods

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Well-posedness and exponential decay of solutions for the Blackstock-Crighton-Kuznetsov equation

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Well-posedness and asymptotic behavior of solutions for the Blackstock-Crighton-Westervelt equation

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Relaxation of regularity for the Westervelt equation by nonlinear damping with applications in acoustic-acoustic and elastic-acoustic coupling

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Optimal regularity and exponential stability for the Blackstock-Crighton equation in \(L_{p}\)-spaces with Dirichlet and Neumann boundary conditions

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Existence of traveling wave solutions of a high-order nonlinear acoustic wave equation

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Proof of extensions of two conjectures on structural damping for elastic systems

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On frame-indifferent formulation of the Maxwell-Cattaneo model of finite-speed heat conduction

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Modeling weakly nonlinear acoustic wave propagation

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Avoiding degeneracy in the Westervelt equation by state constrained optimal control

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Boundary optimal control of the Westervelt and the Kuznetsov equations

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Shapes and geometries. Analysis, differential calculus, and optimization

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ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type

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Elasto–acoustic and acoustic–acoustic coupling on non‐matching grids

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Introduction to Shape Optimization

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Variational approach to shape derivatives for a class of Bernoulli problems

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Variational approach to shape derivatives

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Second-sound phenomena in inviscid, thermally relaxing gases

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An analytical study of Kuznetsov's equation: diffusive solitons, shock formation, and solution bifurcation

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Boundary observability and stabilization for Westervelt type wave equations without interior damping

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Global existence and exponential decay rates for the Westervelt equation

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Well-posedness of the Westervelt and the Kuznetsov equation with nonhomogeneous Neumann boundary conditions

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An analysis of nonhomogeneous Kuznetsov's equation: Local and global well-posedness; exponential decay

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WELL-POSEDNESS AND EXPONENTIAL DECAY OF THE ENERGY IN THE NONLINEAR JORDAN–MOORE–GIBSON–THOMPSON EQUATION ARISING IN HIGH INTENSITY ULTRASOUND

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Well-posedness and Exponential Decay for the Westervelt Equation with Inhomogeneous Dirichlet Boundary Data

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Efficient time integration methods based on operator splitting and application to the Westervelt equation

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Sensitivity analysis for shape optimization of a focusing acoustic lens in lithotripsy

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Sensitivity analysis of linear and nonlinear lithotripter models

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Dissipative acoustic solitons under a weakly-nonlinear, Lagrangian-averaged Euler-\(\alpha\) model of single-phase lossless fluids

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Nonlinear waves in bubbly liquids with consideration for viscosity and heat transfer

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Moore-Gibson-Thompson equation with memory. I: Exponential decay of energy

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Moore-Gibson-Thompson equation with memory. II: General decay of energy.

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The structure of a weak shock wave undergoing reflexion from a wall

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An inverse problem for a third order PDE arising in high-intensity ultrasound: global uniqueness and stability by one boundary measurement

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An abstract semigroup approach to the third‐order Moore–Gibson–Thompson partial differential equation arising in high‐intensity ultrasound: structural decomposition, spectral analysis, exponential stability

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Optimal regularity and long-time behavior of solutions for the Westervelt equation

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Global well-posedness and exponential stability for Kuznetsov's equation in \(L_p\)-spaces

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Fixed domain approaches in shape optimization problems

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Local existence results for the Westervelt equation with nonlinear damping and Neumann as well as absorbing boundary conditions

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On higher regularity for the Westervelt equation with strong nonlinear damping

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Nonlinearity in fluid resonances

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Waves and Compressible Flow

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The Khokhlov-Zabolotskaya-Kuznetsov equation

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On the controllability for the Khokhlov–Zabolotskaya–Kuznetsov-like equation

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On the derivation of the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation and validation of the KZK-approximation for viscous and non-viscous thermo-elastic media

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Absorbing boundary conditions for nonlinear acoustics: the Westervelt equation

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Acoustic waves in a Cattaneo-Christov gas

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A finite volume approach for the simulation of nonlinear dissipative acoustic wave propagation

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FINITE ELEMENT METHODS FOR NONLINEAR ACOUSTICS IN FLUIDS

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.3934/EECT.2015.4.447

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Sitelinks

Mathematics(1 entry)

mardi Publication:258819

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