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Progress in Mathematical Fluid Dynamics: Cetraro, Italy 2019

✍ Scribed by Tristan Buckmaster, Sunčica Čanić, Peter Constantin, Alexander A. Kiselev, Luigi C. Berselli, Michael Růžička

Publisher
Springer International Publishing;Springer
Year
2020
Tongue
English
Leaves
169
Series
Lecture Notes in Mathematics 2272
Edition
1st ed.
Category
Library
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✦ Synopsis

This volume brings together four contributions to mathematical fluid mechanics, a classical but still highly active research field. The contributions cover not only the classical Navier-Stokes equations and Euler equations, but also some simplified models, and fluids interacting with elastic walls. The questions addressed in the lectures range from the basic problems of existence/blow-up of weak and more regular solutions, to modeling and aspects related to numerical methods.

This book covers recent advances in several important areas of fluid mechanics. An output of the CIME Summer School "Progress in mathematical fluid mechanics" held in Cetraro in 2019, it offers a collection of lecture notes prepared by T. Buckmaster, (Princeton), S. Canic (UCB) P. Constantin (Princeton) and A. Kiselev (Duke).

These notes will be a valuable asset for researchers and advanced graduate students in several aspects of mathematicsl fluid mechanics.

✦ Table of Contents

Front Matter ....Pages i-vii
A Heuristic Approach to Convex Integration for the Euler Equations (Tristan Buckmaster, Vlad Vicol)....Pages 1-14
Fluid-Structure Interaction with Incompressible Fluids (Sunčica Čanić)....Pages 15-87
Regularity and Inviscid Limits in Hydrodynamic Models (Peter Constantin)....Pages 89-123
Small Scale Creation in Active Scalars (Alexander A. Kiselev)....Pages 125-161
Back Matter ....Pages 163-164

✦ Subjects

Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Mathematical Methods in Physics

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