Interdisciplinary Conference on Multiple Scale Systems,
Systems with Hysteresis and Fluid Mechanics

We are pleased to announce the joint international multidisciplinary workshop MURPHYS-FM-2020 organized by the Mathematical Institute of the Silesian University in Opava in cooperation with the Institute of Mathematics of the Czech Academy of Sciences. The workshop, devoted to mathematical theory and applications of the multiple scale systems, systems with hysteresis, trends in the dynamical systems theory and new trends in fluid mechanics, will take place at the Hotel Belaria Resort in Hradec nad Moravicí, a beautiful small town 10 km south from Opava, Czech Republic, May 25th to May 29th, 2020.

MURPHYS 2020 (Multi-Rate Processes and Hysteresis) is the 10th workshop that continues a series of biennial meetings focused on multiple scale phenomena, singular perturbations, phase transitions, hysteresis phenomena occurring in mathematical, physical, economical, engineering and information systems. The previous workshops were held in Cork, Ireland (2002, 2004, 2006, 2008); Pecs, Hungary (2010); Suceava, Romania (2012) and Weierstrass Institute for Applied Analysis and Stochastics, Berlin (2014). The 8th and 9th workshop was held in Barcelona in 2016 and 2018.

FM (Fluid Mechanics) – the basic equations of fluid dynamics have been in the focus of great interest and active research worldwide. We focus on several aspects of mathematical modelling, analysis in fluid mechanics, particularly in the case of fluid-structure interaction. We will be interested in existence, new criteria of uniqueness, stability, and regularity of weak and mild solutions, depending on different conditions of the data, and on results concerning multi-component flows. Moreover we focus on moving bodies in domain filled by viscous/inviscid fluid and motion of fluid with the elastic boundary.

Plenary speakers

Murphys section
Giovanni Colombo, University of Padua, Italy
Martin Brokate, Technical University of Munich, Germany

Fluid Mechanics section
Marius Tucsnak, University of Bordeaux, France
Milan Pokorný, Charles University, Czech Republic

Invited speakers (confirmed only)

Murphys section
Vincenzo Recupero, Polytechnic of Turin, Italy
Pavel Krejčí, Czech Technical University in Prague, Czech Republic
Klaus Kuhnen, Bosch, Germany

Fluid Mechanics section
Xavier Blanc, Paris Diderot University, France
Adrian Muntean, Karlstad University, Sweden
Mario Bukal, University of Zagreb, Croatia


Main topics of MURPHYS-FM-2020 include (but are not limited to):

  • hysteresis phenomena
  • multiple scale systems
  • nonlinear systems in general
  • self-organizing systems
  • rate-independent systems and energetic solutions
  • spatially discrete systems
  • singular perturbations
  • switched and multistable systems
  • phase transitions
  • periodic orbits and bifurcation theory
  • piecewise differential equations
  • sweeping processes
  • applications of the above mentioned to physical, chemical, biological and economical sciences, engineering and medicine
  • mathematical analysis of incompressible and compressible fluids
  • topics in the mathematical theory of liquid-solid interaction
  • homogenization
  • mathematical analysis of elliptic equations
  • reaction-diffusion system

New areas of application are particularly welcome.


Petra Nábělková, Silesian University in Opava, Czech Republic
Jana Kopfová, Silesian University in Opava, Czech Republic
Šárka Nečasová, Czech Academy of Sciences, Czech Republic
Pavel Krejčí, Czech Technical University in Prague, Czech Republic

Scientific Program Committee

Vladimir Sobolev, Samara University, Russia
Elena Shchepakina, Samara University, Russia
Pavel Gurevich, Germany
Michael P. Mortell, University College Cork, Ireland
Isaak Mayergoyz, University of Maryland, USA
Jürgen Sprekels, Weierstrass Institute, Germany
Michela Eleuteri, University of Modena and Reggion Emilia, Italy
Augusto Visintin, University of Trento, Italy
Alexander Mielke, Weierstrass Institue, Germany
Leonid Kalachev, University of Montana, USA
Rod Cross, University of Strathclyde, UK
Amalia Ivanyi, University of Pecs, Hungary
Pavel Krejčí, Czech Technical University in Prague, Czech Republic
Dmitrii Rachinskii, The University of Texas at Dallas, USA