3 papers
math.AP2020
Dirichlet boundary valued problems for linear and nonlinear wave equations on arbitrary and fractal domains
Adrien Dekkers, Anna Rozanova-Pierrat
The weak well-posedness results of the strongly damped linear wave equation and of the non linear Westervelt equation with homogeneous Dirichlet boundary conditions are proved on a…
math.AP2020
Models of Nonlinear Acoustics Viewed as Approximations of the Kuznetsov Equation
Adrien Dekkers, Vladimir Khodygo, Anna Rozanova-Pierrat
We relate together different models of non linear acoustic in thermo-ellastic media as the Kuznetsov equation, the Westervelt equation, the Khokhlov-Zabolotskaya-Kuznetsov (KZK) eq…
math.AP2018
Models of nonlinear acoustics viewed as an approximation of the Navier-Stokes and Euler compressible isentropicsystems
Adrien Dekkers, Vladimir Khodygo, Anna Rozanova-Pierrat
The derivation of different models of non linear acoustic in thermo-ellastic media as the Kuznetsov equation, the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation and the Nonlinear P…