The problems of related to rotation and fluids can be found in many areas
of applications. Their mathematical modeling, experimental investigation and
numerical simulations are often using specific methods and tools. The aim of
this summer school is to present a comprehensive series of lectures on various
aspects of rotation and fluids and their role in mathematical analysis and
numerical simulation of different types of flows. The summer school is
organized as a multidisciplinary event with topics ranging from theoretical and
numerical mathematics up to physics and applications. The emphasize will be on
models related to topics originating in environmental, biomedical and industrial
applications. The summer course is prepared for graduate students, young
scientists, and other interested specialists. Besides of the course lectures,
the program will include a one day workshop (on Wednesday, August 27, 2025)
dedicated to short, more advanced lectures given by attending scientists.

Invited Speakers

Main Topics

  • Rotating bodies in fluids
  • Vortices and rotation in environmental flows
  • Rotating machines – pumps, turbines
  • Rotating wings – propellers, hellicopters
  • Astronomical flows
  • Vortex methods for CFD
  • Vorticity & rotation in turbulence

Programme

Prague-Sum Workshop Programme

Abstracts

Cambon C. – The Coriolis force in turbulent flows, physical context, modelling and theory / Stably stratified and rotating flows, possible confinement

Gérard-Varet D. – Asymptotic analysis of rotating geophysical flows

Glass O. – Small solids in an incompressible inviscid fluid

Hishida T. – Analysis of the Oseen evolution operator and applications

Kurganov A. – Central-Upwind Schemes for Nonlinear Hyperbolic PDEs

Lannes D. – Wave-structure interactions

Rudolf P. – Swirling flows in engineering applications

Abstracts Workshop

Bhandari K. – A compressible MHD flow interacting with thermoelastic structure

Bravin M. – Global well-posedness for the non-homogeneous Euler equations in presence of Ekman pumping

Caggio M. – Some observations on second-order models for stably stratified turbulence

Di Feola A.P. – An attempt at energy equality for weak solutions to non-Newtonian viscous fluids in the shear thinning case

Djebour I. – Maximal regularity for a compressible fluid-structure interaction system with Navier slip boundary conditions

Eiter T. – On a compatibility condition for oscillating flow past a rotating body

Jin B. – A mathematical perspective on fluid-tructure operators under Navier slip conditions

Karakouzian M.M. – On the vibration-induced propulsion of a rigid body in a viscous liquid

Lancmanová A. – Numerical simulation of axial blood pumps: Challenges and rotation modelling approaches

Oschmann F. – Quantitative derivation of Darcy’s law for some non-Newtonian fluids

Pane V. – Weigthed estimates for the Stokes semigroup in the half-space

Palma F. – The motion of a rigid body in a viscous fluid: new results for strong solutions, uniqueness and integrability properties

Parmar A. – Fractional regularity for scalar conservation laws with discontinuous flux

Simon J.S. – Long-time behavior of shape optimization solutions for the Navier-Stokes equations via a phase-field method

Su P. – On the motion of a rigid body in a perfect compressible fluid