30 citations · 56 across the 10 of their papers we have counts for
12 papers
Well-posedness of a generalized Stokes operator on domains with cylindrical ends via layer-potentials
Mirela Kohr, Victor Nistor, Wolfgang Wendland
We study the \emph{generalized Stokes operator} \begin{equation*} \bsXi \ede \bsXi _{V,V_0} \ede \left(\begin{array}{ccc} \bsL + V & \nabla \\ \nabla^* & -V_0 \end{array}\right) \e…
Well-posedness of a generalized Stokes operator on smooth bounded domains via layer-potentials
Mirela Kohr, Victor Nistor, Wolfgang L. Wendland
We prove the invertibility of the relevant single and double layer potentials associated to some generalizations of the Stokes operator on bounded domains. In order to do that, we…
Boundary-field formulation for transient electromagnetic scattering by dielectric scatterers and coated conductors
George C. Hsiao, Tonatiuh Sánchez-Vizuet, Wolfgang L. Wendland
We examine the transient scattered and transmitted fields generated when an incident electromagnetic wave impinges on a dielectric scatterer or a coated conductor embedded in an in…
Layer potentials and essentially translation invariant pseudodifferential operators on manifolds with cylindrical ends
Mirela Kohr, Victor Nistor, Wolfgang L. Wendland
Motivated by the study of layer potentials on manifolds with straight conical or cylindrical ends, we introduce and study two classes (or calculi) of pseudodifferential operators d…
A boundary-field formulation for elastodynamic scattering
George C. Hsiao, Tonatiuh Sánchez-Vizuet, Wolfgang L. Wendland
An incoming elastodynamic wave impinges on an elastic obstacle is embedded in an infinite elastic medium. The objective of the paper is to examine the subsequent elastic fields sca…
Non-homogeneous Dirichlet-transmission problems for the anisotropic Stokes and Navier-Stokes systems in Lipschitz domains with transversal interfaces
Mirela Kohr, Sergey E. Mikhailov, Wolfgang L. Wendland
This paper is build around the stationary anisotropic Stokes and Navier-Stokes systems with an -tensor coefficient satisfying an ellipticity condition in terms of symmetr…
Variational approach for layer potentials of the Stokes system with symmetrically elliptic coefficient tensor and applications to Stokes and Navier-Stokes boundary problems
Mirela Kohr, Sergey E. Mikhailov, Wolfgang L. Wendland
The first aim of this paper is to develop a layer potential theory in -based weighted Sobolev spaces on Lipschitz bounded and exterior domains of , , f…
Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier-Stokes systems with strongly elliptic coefficient tensor
Mirela Kohr, Sergey E. Mikhailov, Wolfgang L. Wendland
We obtain well-posedness results in -based weighted Sobolev spaces for a transmission problem for anisotropic Stokes and Navier-Stokes systems with strongly ellip…
Newtonian and single layer potentials for the Stokes system with coefficients and the exterior Dirichlet problem
Mirela Kohr, Sergey E. Mikhailov, Wolfgang L. Wendland
A mixed variational formulation of some problems in -based Sobolev spaces is used to define the Newtonian and layer potentials for the Stokes system with coeffici…
Minimal energy problems for strongly singular Riesz kernels
Helmut Harbrecht, Wolfgang L. Wendland, Natalia Zorii
We study minimal energy problems for strongly singular Riesz kernels on a manifold. Based on the spatial energy of harmonic double layer potentials, we are motivated to formulate t…
Transmission problems for the Navier-Stokes and Darcy-Forchheimer-Brinkman systems in Lipschitz domains on compact Riemannian manifolds
Mirela Kohr, Sergey E. Mikhailov, Wolfgang L. Wendland
The purpose of this paper is to study boundary value problems of transmission type for the Navier-Stokes and Darcy-Forchheimer-Brinkman systems in two complementary Lipschitz domai…
Integral potential method for a transmission problem with Lipschitz interface in for the Stokes and Darcy-Forchheimer-Brinkman PDE systems
M. Kohr, M. Lanza de Cristoforis, S. E. Mikhailov +1
The purpose of this paper is to obtain existence and uniqueness results in weighted Sobolev spaces for transmission problems for the non-linear Darcy-Forchheimer-Brinkman system an…