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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…
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…
Mixed boundary valued problem for linear and nonlinear wave equations in domains with fractal boundaries
Adrien Dekkers, Anna Rozanova-Pierrat, Alexander Teplyaev
The weak well-posedness, with the mixed boundary conditions, of the strongly damped linear wave equation and of the non linear Westervelt equation is proved in the largest natural…