Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Nonlinear PDEs, Their Geometry, and Applications

Proceedings of the Wisła 18 Summer School

  • Book
  • © 2019

Overview

Editors:
  1. Radosław A. Kycia

    1. The Faculty of Science, Masaryk University, Brno, Czech Republic

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Maria Ułan

    1. Baltic Institute of Mathematics, Warszawa, Poland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Eivind Schneider

    1. Department of Mathematics and Statistics, UiT The Arctic University of Norway, Tromsø, Norway

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 64.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 84.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Lectures

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Contact Geometry, Measurement, and Thermodynamics

      • Valentin V. Lychagin
      Pages 3-52

    3. Lectures on Geometry of Monge–Ampère Equations with Maple

      • Alexei Kushner, Valentin V. Lychagin, Jan Slovák
      Pages 53-94

    4. Geometry of Monge–Ampère Structures

      • Volodya Rubtsov
      Pages 95-156

    5. Introduction to Symbolic Computations in Differential Geometry with Maple

      • Sergey N. Tychkov
      Pages 157-182

  3. Participants Contributions

    1. Front Matter

      Pages 183-183
      Download chapter PDF

    2. On the Geometry Arising in Some Meteorological Models in Two and Three Dimensions

      • Bertrand Banos, Volodya Roubtsov, Ian Roulstone
      Pages 185-207

    3. Gas Flow with Phase Transitions: Thermodynamics and the Navier–Stokes Equations

      • Anton A. Gorinov, Valentin V. Lychagin, Mikhail D. Roop, Sergey N. Tychkov
      Pages 209-222

    4. Differential Invariants in Thermodynamics

      • Eivind Schneider
      Pages 223-232

    5. Monge–Ampère Grassmannians, Characteristic Classes and All That

      • Valentin V. Lychagin, Volodya Roubtsov
      Pages 233-257

    6. Weak Inverse Problem of Calculus of Variations for Geodesic Mappings and Relation to Harmonic Maps

      • Stanislav Hronek
      Pages 259-265

    7. Integrability of Geodesics of Totally Geodesic Metrics

      • Radosław A. Kycia, Maria Ułan
      Pages 267-275

  4. Back Matter

    Pages 277-279
    Download chapter PDF
Back to top

Keywords

About this book

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.




Editors and Affiliations

  • The Faculty of Science, Masaryk University, Brno, Czech Republic

    Radosław A. Kycia

  • Baltic Institute of Mathematics, Warszawa, Poland

    Maria Ułan

  • Department of Mathematics and Statistics, UiT The Arctic University of Norway, Tromsø, Norway

    Eivind Schneider

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation