This volume explores a range of recent advances in mathematical fluid mechanics, covering theoretical topics and numerical methods. Chapters are based on the lectures given at a workshop in the summer school Waves in Flows, held in Prague from August 27-31, 2018. A broad overview of cutting edge research is presented, with a focus on mathematical modeling and numerical simulations. Readers will find a thorough analysis of numerous state-of-the-art developments presented by leading experts in their respective fields. Specific topics covered include:
- Chemorepulsion
- Compressible Navier-Stokes systems
- Newtonian fluids
- Fluid-structure interactions
Waves in Flows: The 2018 Prague-Sum Workshop Lectures will appeal to post-doctoral students and scientists whose work involves fluid mechanics.
Содержание
Semigroup theory for the Stokes operator with Navier boundary condition on
L
p spaces.- Theoretical and numerical results for a chemo-repulsion model with non-constant diffusion coefficients.- Remarks on the energy equality for the 3D Navier-Stokes equations.- Existence, uniqueness and asymptotic behavior of regular time-periodic viscous flow around a moving body.- Compressible Navier-Stokes system on a moving domain in the
L
p —
L
q framework.- Some new properties of a suitable weak solution to the Navier-Stokes equations.- Existence, uniqueness and regularity for the second-gradient Navier-Stokes equations in exterior domains.- A review on rigorous derivation of reduced models for fluid — structure interaction systems.- Stability of a steady flow of an incompressible Newtonian fluid in an exterior domain.
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