20 citations · 80 across the 22 of their papers we have counts for
23 papers
Analysis of a fully-discrete, non-conforming approximation of evolution equations and applications
Alex Kaltenbach, Michael Růžička
In this paper, we consider a fully-discrete approximation of an abstract evolution equation deploying a non-conforming spatial approximation and finite differences in time (Rothe-G…
A Local Discontinuous Galerkin approximation for the -Navier-Stokes system, Part III: Convergence rates for the pressure
Alex Kaltenbach, Michael Růžička
In the present paper, we prove convergence rates for the pressure of the Local Discontinuous Galerkin (LDG) approximation, proposed in Part I of the paper, of systems of -Navier…
A Local Discontinuous Galerkin approximation for the -Navier-Stokes system, Part II: Convergence rates for the velocity
Alex Kaltenbach, Michael Růžička
In the present paper, we prove convergence rates for the Local Discontinuous Galerkin (LDG) approximation, proposed in Part I of the paper, for systems of -Navier-Stokes type an…
Convergence analysis of a Local Discontinuous Galerkin approximation for nonlinear systems with balanced Orlicz-structure
Alex Kaltenbach, Michael Růžička
In this paper, we investigate a Local Discontinuous Galerkin (LDG) approximation for systems with balanced Orlicz-structure. We propose a new numerical flux, which yields optimal c…
Existence of steady solutions for a model for micropolar electrorheological fluid flows with not globally --Hölder continuous shear exponent
Alex Kaltenbach, Michael Růžička
In this paper, we study the existence of weak solutions to a steady system that describes the motion of a micropolar electrorheological fluid. The constitutive relations for the st…
Existence of steady solutions for a general model for micropolar electrorheological fluid flows
Alex Kaltenbach, Michael Růžička
In this paper we study the existence of solutions to a steady system that describes the motion of a micropolar electrorheological fluid. The constitutive relations for the stress t…
Natural second-order regularity for parabolic systems with operators having -structure and depending only on the symmetric gradient
Luigi C. Berselli, Michael Ruzicka
In this paper we consider parabolic problems with stress tensor depending only on the symmetric gradient. By developing a new approximation method (which allows to use energy-type…
Optimal error estimate for a space-time discretization for incompressible generalized Newtonian fluids: The Dirichlet problem
Luigi C. Berselli, Michael Růžička
In this paper we prove optimal error estimates for {solutions with natural regularity} of the equations describing the unsteady motion of incompressible shear-thinning fluids. We c…
Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications
Luigi C. Berselli, Alex Kaltenbach, Michael Ruzicka
In this paper we consider fully discrete approximations of abstract evolution equations, by means of a quasi non-conforming spatial approximation and finite differences in time (Ro…
MIaS: Math-Aware Retrieval in Digital Mathematical Libraries
Petr Sojka, Michal Růžička, Vít Novotný
Digital mathematical libraries (DMLs) such as arXiv, Numdam, and EuDML contain mainly documents from STEM fields, where mathematical formulae are often more important than text for…
Global weak solutions for an Newtonian Fluid interacting with a Koiter Type Shell under natural boundary conditions
Hannes Eberlein, Michael Ruzicka
We consider an viscous, incompressible Newtonian fluid flowing through a thin elastic structure. The motion of the structure is described by the equations of a linearised Koiter sh…
Global L^r-estimates and regularizing effect for solutions to the p(t, x) -Laplacian systems
Francesca Crispo, Paolo Maremonti, Michael Ruzicka
We consider the initial boundary value problem for the p(t, x)-Laplacian system in a bounded domain Ω. If the initial data belongs to L^{r_0}, r_0 \geq 2, we give a global L^{r_0}(…
Global regularity for systems with -structure depending on the symmetric gradient
Luigi C. Berselli, Michael Ruzicka
In this paper we study on smooth bounded domains the global regularity (up to the boundary) for weak solutions to systems having -structure depending only on the symmetric part…
Semantic Vector Encoding and Similarity Search Using Fulltext Search Engines
Jan Rygl, Jan Pomikálek, Radim Řehůřek +3
Vector representations and vector space modeling (VSM) play a central role in modern machine learning. We propose a novel approach to `vector similarity searching' over dense seman…
On the full space--time discretization of the generalized Stokes equations: The Dirichlet case
S. Eckstein, M. Ruzicka
In this work we treat the space-time discretization of the generalized Stokes equations in the case of Dirichlet boundary conditions. We prove error estimates in the case $p\in[\fr…
Global regularity properties of steady shear thinning flows
Luigi C. Berselli, Michael Ruzicka
In this paper we study the regularity of weak solutions to systems of p-Stokes type, describing the motion of some shear thinning fluids in certain steady regimes. In particular we…
Note on the existence theory for evolution equations with pseudo-monotone operators
E. Baeumle, M. Ruzicka
In this note we present a framework which allows to prove an abstract existence result for evolution equations with pseudo-monotone operators. The assumptions on the spaces and the…
Combining Text and Formula Queries in Math Information Retrieval: Evaluation of Query Results Merging Strategies
Martin Líška, Petr Sojka, Michal Růžička
Specific to Math Information Retrieval is combining text with mathematical formulae both in documents and in queries. Rigorous evaluation of query expansion and merging strategies…
The Oberbeck--Boussinesq Approximation as a Constitutive Limit
Yoshiyuki Kagei, Michael Ruzicka
We derive the usual Oberbeck--Boussinesq approximation as a constitutive limit of the full system describing the motion of an compressible linearly viscous fluid. To this end the s…
Math Indexer and Searcher Web Interface: Towards Fulfillment of Mathematicians' Information Needs
Martin Líška, Petr Sojka, Michal Růžička
We are designing and developing a web user interface for digital mathematics libraries called WebMIaS. It allows queries to be expressed by mathematicians through a faceted search…
Optimal error estimate for semi-implicit space-time discretization for the equations describing incompressible generalized Newtonian fluids
Luigi C. Berselli, Lars Diening, Michael Ruzicka
In this paper we study the numerical error arising in the space-time approximation of unsteady generalized Newtonian fluids which possess a stress-tensor with -structure. A…
Global weak solutions for an incompressible Newtonian fluid interacting with a linearly elastic Koiter shell
Daniel Lengeler, Michael Ruzicka
In this paper we analyze the interaction of an incompressible Newtonian fluid with a linearly elastic Koiter shell whose motion is restricted to transverse displacements. The middl…
The Stokes and Poisson problem in variable exponent spaces
Lars Diening, Daniel Lengeler, Michael Ruzicka
We study the Stokes and Poisson problem in the context of variable exponent spaces. We prove the existence of strong and weak solutions for bounded domains with C^{1,1} boundary wi…