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Michael Růžička

Michael Růžička

D-Index & Metrics

Mathematics

D-Index
31
Citations
8596
World Ranking
3267
National Ranking
196

Overview

Michael Růžička is affiliated with the University of Freiburg in Germany and has a significant body of research focusing on applied mathematics and computational methods related to nonlinear partial differential equations and computational mechanics.

Their research spans several main fields of study, including:

  • Mathematics
  • Engineering
  • Computer Science

Within these areas, the scientist concentrates on the following subfields:

  • Applied Mathematics
  • Computational Theory and Mathematics
  • Computational Mechanics
  • Mathematical Physics
  • Biomedical Engineering

Core topics addressed in their work include:

  • Advanced Mathematical Modeling in Engineering
  • Advanced Numerical Methods in Computational Mathematics
  • Navier-Stokes equation solutions
  • Nonlinear Partial Differential Equations
  • Stability and Controllability of Differential Equations
  • Elasticity and Material Modeling
  • Differential Equations and Numerical Methods

Recent contributions to the scientific literature highlight studies on discontinuous Galerkin approximations and nonlinear parabolic systems. Notable papers include:

  • "A Local Discontinuous Galerkin Approximation for the p-Navier-Stokes System, Part I: Convergence Analysis" (2023), published in SIAM Journal on Numerical Analysis
  • "Space-time discretization for nonlinear parabolic systems with p-structure" (2020), published in IMA Journal of Numerical Analysis
  • "A Local Discontinuous Galerkin Approximation for the \\(\boldsymbol{p}\\)-Navier-Stokes System, Part II: Convergence Rates for the Velocity" (2023), published in SIAM Journal on Numerical Analysis
  • "Natural second-order regularity for parabolic systems with operators having $$(p, \delta )$$-structure and depending only on the symmetric gradient" (2022), published in Calculus of Variations and Partial Differential Equations
  • "Convergence analysis of a Local Discontinuous Galerkin approximation for nonlinear systems with balanced Orlicz-structure" (2023), published in ESAIM. Mathematical modelling and numerical analysis

The scientist frequently collaborates with several coauthors, including:

  • Alex Kaltenbach
  • Luigi C. Berselli
  • Julius Jeßberger
  • Bernd Rummler
  • Gudrun Thäter

Michael Růžička's work is often published in recognized venues such as:

  • arXiv (Cornell University)
  • SIAM Journal on Numerical Analysis
  • Calculus of Variations and Partial Differential Equations
  • ESAIM. Mathematical modelling and numerical analysis
  • Mathematical Models and Methods in Applied Sciences

Best Publications

  • Electrorheological Fluids: Modeling and Mathematical Theory

    Michael Růžička

  • Weak and Measure-Valued Solutions to Evolutionary PDEs

    J. Málek;J. Nečas;M. Rokyta;M. Růžička

  • Mathematical modeling of electrorheological materials

    K.R. Rajagopal;M. Ružička

  • Calderón-Zygmund operators on generalized Lebesgue spaces $L^{p(\cdot)}$ and problems related to fluid dynamics

    Lars Diening;Michael Růžička

  • On Leray's self-similar solutions of the Navier-Stokes equations

    J. Nečas;J. Nečas;M. Růžička;V. Šverák

  • ON THE OBERBECK-BOUSSINESQ APPROXIMATION

    K.R. Rajagopal;M. Ruzicka;A.R. Srinivasa

  • On the modeling of electrorheological materials

    K.R. Rajagopal;M. Růzǐčka

  • Existence of weak solutions for unsteady motions of generalized Newtonian fluids

    Lars Diening;Michael Růžička;Jörg Wolf

  • On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: the case $p\geq2$

    J. Málek;J. Nečas;M. Růžička

  • EXISTENCE AND REGULARITY OF SOLUTIONS AND THE STABILITY OF THE REST STATE FOR FLUIDS WITH SHEAR DEPENDENT VISCOSITY

    J. Málek;K.R. Rajagopal;M. Růžička

  • A decomposition technique for John domains

    Lars Diening;Michael Ruzicka;Katrin Schumacher

  • An example of a space Lp(x) on which the Hardy-Littlewood maximal operator is not bounded

    Luboš Pick;Michael Růžička

  • ON THE NON-NEWTONIAN INCOMPRESSIBLE FLUIDS

    Josef Málek;Jindřich Nečas;Michael Růžička

  • Weak Solutions for an Incompressible Newtonian Fluid Interacting with a Koiter Type Shell

    Daniel Lengeler;Michael Růžička

  • Existence of Strong Solutions for Incompressible Fluids with Shear Dependent Viscosities

    Luigi C. Berselli;Lars Diening;Michael Růžička

  • Modeling, mathematical and numerical analysis of electrorheological fluids

    Michael Růžička

  • Optimal Convergence for the Implicit Space-Time Discretization of Parabolic Systems with $p$-Structure

    Lars Diening;Carsten Ebmeyer;Michael Ru ring;z caron

  • Strong Solutions for Generalized Newtonian Fluids

    Lars Diening;Michael Růžička

  • Flow of shear dependent electrorheological fluids

    Michael Růžička

  • Monotone operator theory for unsteady problems in variable exponent spaces

    Lars Diening;Philipp Nägele;Michael Růžička

Frequent Co-Authors

Lars Diening
Lars Diening Bielefeld University
Josef Málek
Josef Málek Charles University
Petteri Harjulehto
Petteri Harjulehto University of Helsinki
Peter Hästö
Peter Hästö University of Helsinki
Jens Frehse
Jens Frehse University of Bonn
Vladimír Šverák
Vladimír Šverák University of Minnesota
Eduard Feireisl
Eduard Feireisl Czech Academy of Sciences
Peter Constantin
Peter Constantin Princeton University
Giovanni P. Galdi
Giovanni P. Galdi University of Pittsburgh
Gregory Seregin
Gregory Seregin University of Oxford

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