10 citations · 17 across the 5 of their papers we have counts for
6 papers
On the compactness of artificial compressibility approximations of weak solutions for fluid problems in deforming domains
Stephan Schmitz, Anna Hundertmark
In this contribution, a fluid flow problem on a general deforming domain for a Newtonian fluid in two and three space dimensions with artificial compressibility approximation is st…
Diagonalization of indefinite saddle point forms
Luka Grubišić, Vadim Kostrykin, Konstantin A. Makarov +2
We obtain sufficient conditions that ensure block diagonalization (by a direct rotation) of sign-indefinite symmetric sesquilinear forms as well as the associated operators that ar…
The Tan -Theorem in Fluid Dynamics
Luka Grubišić, Vadim Kostrykin, Konstantin A. Makarov +2
We show that the generalized Reynolds number (in fluid dynamics) introduced by Ladyzhenskaya is closely related to the rotation of the positive spectral subspace of the Stokes bloc…
On invariant graph subspaces
Konstantin A. Makarov, Stephan Schmitz, Albrecht Seelmann
In this paper we discuss the problem of decomposition for unbounded operator matrices by a pair of complementary invariant graph subspaces. Under mild additional assump…
Representation Theorems for indefinite quadratic forms without spectral gap
Stephan Schmitz
The First and Second Representation Theorem for sign-indefinite quadratic forms are extended. We include new cases of unbounded forms associated with operators that do not necessar…
Reducing graph subspaces and strong solutions to operator Riccati equations
Konstantin A. Makarov, Stephan Schmitz, Albrecht Seelmann
The problem of block diagonalization for diagonally dominant symmetric block operator matrices with self-adjoint diagonal entries is considered. We show that a reasonable block dia…