15 citations · 50 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Well-Posedness and asymptotic behavior of solutions for the Blackstock-Crighton-Westervelt equation
Rainer Brunnhuber, Barbara Kaltenbacher
We consider a nonlinear fourth order in space partial differential equation arising in the context of the modeling of nonlinear acoustic wave propagation in thermally relaxing visc…
Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators
Rainer Brunnhuber, Jonathan Eckhardt, Aleksey Kostenko +1
We develop singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators. In particular, we establish existence of a spectral transformation as well as local Borg-Mar…