Instability and Non-Uniqueness for the 2D Euler Equations, After M. Vishik - Couverture souple

Lellis, Camillo De; Brué, Elia; Albritton, Dallas; Colombo, Maria; Giri, Vikram; Janisch, Maximilian; Kwon, Hyunju

 
9780691257532: Instability and Non-Uniqueness for the 2D Euler Equations, After M. Vishik
Couverture souple
ISBN 10 : 0691257531 ISBN 13 : 9780691257532
Editeur : Princeton University Press, 2024

Synopsis

An essential companion to M. Vishik's groundbreaking work in fluid mechanics

The incompressible Euler equations are a system of partial differential equations introduced by Leonhard Euler more than 250 years ago to describe the motion of an inviscid incompressible fluid. These equations can be derived from the classical conservations laws of mass and momentum under some very idealized assumptions. While they look simple compared to many other equations of mathematical physics, several fundamental mathematical questions about them are still unanswered. One is under which assumptions it can be rigorously proved that they determine the evolution of the fluid once we know its initial state and the forces acting on it. This book addresses a well-known case of this question in two space dimensions. Following the pioneering ideas of M. Vishik, the authors explain in detail the optimality of a celebrated theorem of V. Yudovich from the 1960s, which states that, in the vorticity formulation, the solution is unique if the initial vorticity and the acting force are bounded. In particular, the authors show that Yudovich's theorem cannot be generalized to the L^p setting.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Dallas Albritton is a mathematician and NSF postdoctoral fellow at Princeton University. Elia Brué is a mathematician at Bocconi University in Milan. Maria Colombo is a mathematician and professor at the Swiss Federal Institute of Technology in Lausanne. Camillo De Lellis is a mathematician at the Institute for Advanced Study in Princeton. Vikram Giri is a mathematician at Princeton. Maximilian Janisch is a PhD student in mathematics at the University of Zurich. Hyunju Kwon is a Hermann Weyl Instructor at ETH Zurich.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Princeton University Press
Date d'édition
2024
Langue
anglais
ISBN 10 
0691257531
ISBN 13 
9780691257532
Reliure
Broché
Nombre de pages
148
Coordonnées du fabricant
Princeton University Press
https://press.princeton.edu/books

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PRINCETON
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Etats-Unis
Personne responsable
non disponible

Autres éditions populaires du même titre

9780691257525: Instability and Non-Uniqueness for the 2D Euler Equations, After M. Vishik

Edition présentée

ISBN 10 :  0691257523 ISBN 13 :  9780691257525
Editeur : Princeton University Press, 2024
Couverture rigide