21 citations · 59 across the 7 of their papers we have counts for
10 papers
Weck's Selection Theorem: The Maxwell Compactness Property for Bounded Weak Lipschitz Domains with Mixed Boundary Conditions in Arbitrary Dimensions
Sebastian Bauer, Dirk Pauly, Michael Schomburg
It is proved that the space of differential forms with weak exterior and co-derivative, is compactly embedded into the space of square integrable differential forms. Mixed boundary…
A non-relativistic Model of Plasma Physics Containing a Radiation Reaction Term
Sebastian Bauer
While a fully relativistic collisionless plasma is modeled by the Vlasov-Maxwell system a good approximation in the non-relativistic limit is given by the Vlasov-Poisson system. We…
On Korn's First Inequality for Mixed Tangential and Normal Boundary Conditions on Bounded Lipschitz-Domains in
Sebastian Bauer, Dirk Pauly
We prove that for bounded Lipschitz domains in Korn's first inequality holds for vector fields satisfying homogeneous mixed normal and tangential boundary conditions…
The Maxwell Compactness Property in Bounded Weak Lipschitz Domains with Mixed Boundary Conditions
Sebastian Bauer, Dirk Pauly, Michael Schomburg
For a bounded weak Lipschitz domain we show the so called `Maxwell compactness property', that is, the space of square integrable vector fields having square integrable weak rotati…
On Korn's First Inequality for Tangential or Normal Boundary Conditions with Explicit Constants
Sebastian Bauer, Dirk Pauly
We will prove that for piecewise smooth and concave domains Korn's first inequality holds for vector fields satisfying homogeneous normal or tangential boundary conditions with exp…
Dev-Div- and DevSym-DevCurl-inequalities for incompatible square tensor fields with mixed boundary conditions
Sebastian Bauer, Patrizio Neff, Dirk Pauly +1
For an n-dimensional bounded domain we derive some inequalities bounding the norm of a square tensor field. Concerning the Div-Dev-inequality the bound is given by the trace-free p…