43 citations · 44 across the 3 of their papers we have counts for
3 papers
math.AP2015★ 1 cited
Optimal regularity and exponential stability for the Blackstock-Crighton equation in -spaces with Dirichlet and Neumann boundary conditions
Rainer Brunnhuber, Stefan Meyer
The Blackstock-Crighton equation models nonlinear acoustic wave propagation in thermo-viscous fluids. In the present work we investigate the associated inhomogeneous Dirichlet and…
math.AP2015★ 43 cited
Optimal regularity and long-time behavior of solutions for the Westervelt equation
Stefan Meyer, Mathias Wilke
We investigate an initial-boundary value problem for the quasilinear Westervelt equation which models the propagation of sound in fluidic media. We prove that, if the initial data…
math.AP2012
Global well-posedness and exponential stability for Kuznetsov's equation in L_p-spaces
Stefan Meyer, Mathias Wilke
We investigate a quasilinear initial-boundary value problem for Kuznetsov's equation with non-homogeneous Dirichlet boundary conditions. This is a model in nonlinear acoustics whic…