Models of nonlinear acoustics viewed as approximations of the Kuznetsov equation

Adrien Dekkers, Anna Rozanova-Pierrat, Vladimir Khodygo*

*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

5 Dyfyniadau(SciVal)
29 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

We relate together different models of non linear acoustic in thermo-elastic media as the Kuznetsov equation, the Westervelt equation, the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation and the Nonlinear Progressive wave Equation (NPE) and estimate the time during which the solutions of these models keep closed in the L2 norm. The KZK and NPE equations are considered as paraxial approximations of the Kuznetsov equation. The Westervelt equation is obtained as a nonlinear approximation of the Kuznetsov equation. Aiming to compare the solutions of the exact and approximated systems in found approximation domains the well-posedness results (for the Kuznetsov equation in a half-space with periodic in time initial and boundary data) are obtained.

Iaith wreiddiolSaesneg
Tudalennau (o-i)4231-4258
Nifer y tudalennau28
CyfnodolynDiscrete and Continuous Dynamical Systems- Series A
Cyfrol40
Rhif cyhoeddi7
Dyddiad ar-lein cynnar27 Ebr 2020
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 01 Gorff 2020

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