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math.AP2014★ 10 cited
Relaxation of regularity for the Westervelt equation by nonlinear damping with application in acoustic-acoustic and elastic-acoustic coupling
Rainer Brunnhuber, Barbara Kaltenbacher, Petronela Radu
In this paper we show local (and partially global) in time existence for the Westervelt equation with several versions of nonlinear damping. This enables us to prove well-posedness…
math.AP2014★ 11 cited
Well-posedness and exponential decay of solutions for the Blackstock-Crighton-Kuznetsov equation
Rainer Brunnhuber
The present work provides well-posedness and exponential decay results for the Blackstock-Crighton-Kuznetsov equation arising in the modeling of nonlinear acoustic wave propagation…