The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations
The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations
We analyze the behavior of third-order-in-time linear and nonlinear sound waves in thermally relaxing fluids and gases as the sound diffusivity vanishes. The nonlinear acoustic propagation is modeled by the Jordan--Moore--Gibson--Thompson equation both in its Westervelt-type and in its Kuznetsov-type forms, that is, including general nonlinearities of quadratic type. As …