Nonlinear PDEs, Their Geometry, and Applications

Proceedings of the Wisła 18 Summer School

  • Radosław A. Kycia
  • Maria Ułan
  • Eivind Schneider

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Lectures

    1. Front Matter
      Pages 1-1
    2. Valentin V. Lychagin
      Pages 3-52
    3. Alexei Kushner, Valentin V. Lychagin, Jan Slovák
      Pages 53-94
    4. Volodya Rubtsov
      Pages 95-156
  3. Participants Contributions

    1. Front Matter
      Pages 183-183
    2. Bertrand Banos, Volodya Roubtsov, Ian Roulstone
      Pages 185-207
    3. Anton A. Gorinov, Valentin V. Lychagin, Mikhail D. Roop, Sergey N. Tychkov
      Pages 209-222
    4. Eivind Schneider
      Pages 223-232
    5. Valentin V. Lychagin, Volodya Roubtsov
      Pages 233-257
    6. Radosław A. Kycia, Maria Ułan
      Pages 267-275
  4. Back Matter
    Pages 277-279

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


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

Editors and affiliations

  • Radosław A. Kycia
    • 1
  • Maria Ułan
    • 2
  • Eivind Schneider
    • 3
  1. 1.The Faculty of ScienceMasaryk UniversityBrnoCzech Republic
  2. 2.Baltic Institute of MathematicsWarszawaPoland
  3. 3.Department of Mathematics and StatisticsUiT The Arctic University of NorwayTromsøNorway

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-17030-1
  • Online ISBN 978-3-030-17031-8
  • Series Print ISSN 2522-0969
  • Series Online ISSN 2522-0977
  • Buy this book on publisher's site