50 citations · 86 across the 8 of their papers we have counts for
8 papers
Analysis of bulk-surface reaction-sorption-diffusion systems with Langmuir type adsorption
Björn Augner, Dieter Bothe
We consider a class of bulk-surface reaction-adsorption-diffusion systems, i.e. a coupled systems of reaction-diffusion systems on a bounded domain (bulk…
-maximal regularity for parabolic and elliptic boundary value problems with boundary conditions of mixed differentiability orders
Björn Augner
In the theory of non-linear parabolic and elliptic partial differential equations, the notion of maximal regularity plays an essential role in establishing existence, regularity an…
Analysis of some heterogeneous catalysis models with fast sorption and fast surface chemistry
Björn Augner, Dieter Bothe
We investigate limit models resulting from a dimensional analysis of quite general heterogeneous catalysis models with fast sorption (i.e.\ exchange of mass between the bulk phase…
Exponential stability for infinite-dimensional non-autonomous port-Hamiltonian Systems
Björn Augner, Hafida Laasri
We study the non-autonomous version of an infinite-dimensional port-Hamiltonian system on an interval . Employing abstract results on evolution families, we show -well…
Uniform Exponential Stabilisation of Serially Connected Inhomogeneous Euler-Bernoulli Beams
Björn Augner
We consider a chain of Euler-Bernoulli beams with spatial dependent mass density, modulus of elasticity and area moment which are interconnected in dissipative or conservative ways…
Well-posedness and Stability for Interconnection Structures of Port-Hamiltonian Type
Björn Augner
We consider networks of infinite-dimensional port-Hamiltonian systems on one-dimensional spatial domains. These subsystems of port-Hamiltonian type are interconnec…
Well-posedness and Stability of Linear Port-Hamiltonian Systems with Nonlinear Boundary Feedback
Björn Augner
Boundary feedback stabilisation of linear port-Hamiltonian systems on an interval is considered. Generation and stability results already known for linear feedback are extended to…
Stability and Stabilization of Infinite-dimensional Linear Port-Hamiltonian Systems
Björn Augner, Birgit Jacob
Stability and stabilization of linear port-Hamiltonian systems on infinite-dimensional spaces are investigated. This class is general enough to include models of beams and waves as…