16 citations · 17 across the 5 of their papers we have counts for
5 papers
Parabolic equations with dynamical boundary conditions and source terms on interfaces
A. F. M. ter Elst, Martin Meyries, Joachim Rehberg
We consider parabolic equations with mixed boundary conditions and domain inhomogeneities supported on a lower dimensional hypersurface, enforcing a jump in the conormal derivative…
Local well-posedness and instability of travelling waves in a chemotaxis model
Martin Meyries
We consider the Keller-Segel model for chemotaxis with a nonlinear diffusion coefficent and a singular sensitivity function. We show the existence of travelling waves for wave spee…
Maximal regularity with temporal weights for parabolic problems with inhomogeneous boundary conditions
Martin Meyries, Roland Schnaubelt
We develop a maximal regularity approach in temporally weighted -spaces for vector-valued parabolic initial-boundary value problems with inhomogeneous boundary conditions, bot…
Interpolation, embeddings and traces of anisotropic fractional Sobolev spaces with temporal weights
Martin Meyries, Roland Schnaubelt
We investigate the properties of a class of weighted vector-valued -spaces and the corresponding (an)isotropic Sobolev-Slobodetskii spaces. These spaces arise naturally in the…
Global attractors in stronger norms for a class of parabolic systems with nonlinear boundary conditions
Martin Meyries
For a class of quasilinear parabolic systems with nonlinear Robin boundary conditions we construct a compact local solution semiflow in a nonlinear phase space of high regularity.…