Models of nonlinear acoustics viewed as approximations of the Kuznetsov equation (Q2176541)

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English	Models of nonlinear acoustics viewed as approximations of the Kuznetsov equation	scientific article

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instance of

scholarly article

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title

Models of nonlinear acoustics viewed as approximations of the Kuznetsov equation (English)

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author

Adrien Dekkers

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Anna Rozanova-Pierrat

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Vladimir Khodygo

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published in

Discrete and Continuous Dynamical Systems

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publication date

5 May 2020

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full work available at URL

https://arxiv.org/abs/2004.04657

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zbMATH Keywords

Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation

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NPE and Westervelt equations

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MaRDI profile type

MaRDI publication profile

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

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

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QUALITATIVE ANALYSIS OF THE KHOKHLOV–ZABOLOTSKAYA–KUZNETSOV (KZK) 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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Identifiers

zbMATH Open document ID

1437.35019

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2176541