Nonlinear PDEs, Their Geometry, and Applications

Beschreibung

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.
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 ofdifferential geometry is recommended for the first portion of the book, as well as a familiarity with basic concepts in physics.

Collects talks given at the Summer School Wisla 18: Nonlinear PDEs, Their Geometry, and Applications in Wisla, Poland Presents recent research the applications of nonlinear differential equations to physics Provides a great starting point to understanding geometry theory of differential equations

Autor*in

Radosław A. Kycia

Themen in »Nonlinear PDEs, Their Geometry, and Applications«

Nonlinear Partial Differential Equations Probability theory Gaussian distribution Summer School Wisla Monge-Ampere Equations Contact geometry Tensor invariants Recursion operators Navier-Stokes equations Geometry of Nonlinear PDEs Baltic Institute of Mathematics Thermodynamics Meterology Maple mathematics partial differential equations

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