no code implementations • 8 Feb 2021 • Markus Muhr, Vanja Nikolić, Barbara Wohlmuth
Inspired by medical applications of high-intensity ultrasound, we study a coupled elasto-acoustic problem with general acoustic nonlinearities of quadratic type as they arise, for example, in the Westervelt and Kuznetsov equations of nonlinear acoustics.
Numerical Analysis Numerical Analysis 65M12, 35L70
no code implementations • 14 Jan 2021 • Barbara Kaltenbacher, Vanja Nikolić
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.
Analysis of PDEs 35L05, 35L72
