Nonlinear PDEs, Their Geometry, and Applications

Nonlinear PDEs, Their Geometry, and Applications
Author: Radosław A. Kycia
Publisher: Springer
Total Pages: 279
Release: 2019-05-18
Genre: Mathematics
ISBN: 3030170314


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This volume presents lectures given at the Summer School Wisła 18: Nonlinear PDEs, Their Geometry, and Applications, which took place from August 20 - 30th, 2018 in Wisła, Poland, and was organized by the Baltic Institute of Mathematics. The lectures in the first part of this volume were delivered by experts in nonlinear differential equations and their applications to physics. Original research articles from members of the school comprise the second part of this volume. Much of the latter half of the volume complements the methods expounded in the first half by illustrating additional applications of geometric theory of differential equations. Various subjects are covered, providing readers a glimpse of current research. Other topics covered include thermodynamics, meteorology, and the Monge–Ampère equations. Researchers interested in the applications of nonlinear differential equations to physics will find this volume particularly useful. A knowledge of differential geometry is recommended for the first portion of the book, as well as a familiarity with basic concepts in physics.


Nonlinear PDEs, Their Geometry, and Applications
Language: en
Pages: 279
Authors: Radosław A. Kycia
Categories: Mathematics
Type: BOOK - Published: 2019-05-18 - Publisher: Springer

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This volume presents lectures given at the Summer School Wisła 18: Nonlinear PDEs, Their Geometry, and Applications, which took place from August 20 - 30th, 20
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This book contains a collection of twelve papers that reflect the state of the art of nonlinear differential equations in modern geometrical theory. It comprise
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In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years. (1) The inverse s