Waves in Flows

The 2018 Prague-Sum Workshop Lectures
1. Auflage 2021
ISBN: 978-3-030-68143-2
Verlag: Springer International Publishing

Buch, Englisch, 263 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 423 g

Reihe: Lecture Notes in Mathematical Fluid Mechanics

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.

Zielgruppe

Research

Autoren/Hrsg.

Bodnár, Tomá¿

Ne¿asová, ¿Árka

Galdi, Giovanni P.

Necasová, Šárka

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre

Inhaltsverzeichnis

Semigroup theory for the Stokes operator with Navier boundary condition on Lp 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 Lp - Lq 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.