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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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Publication:1049723
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DOI10.4310/CMS.2009.v7.n3.a9zbMath1186.35147MaRDI QIDQ1049723

Anna Rozanova-Pierrat

Publication date: 13 January 2010

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)


zbMATH Keywords

paraxial approximationisentropic Navier-Stokes equationKZK equation


Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Theoretical approximation in context of PDEs (35A35) Hydro- and aero-acoustics (76Q05) Euler equations (35Q31)


Related Items

Cauchy problem for the Kuznetsov equation ⋮ Well-posedness of a general higher order model in nonlinear acoustics ⋮ Models of nonlinear acoustics viewed as approximations of the Kuznetsov equation ⋮ Dispersive estimates for full dispersion KP equations ⋮ Scalar evolution equations for shear waves in incompressible solids: a simple derivation of the Z, ZK, KZK and KP equations ⋮ Mathematics of nonlinear acoustics



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