Advertisement

An Introduction to Parabolic Moving Boundary Problems

  • Alessandra LunardiEmail author
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1855)

Abstract

  • 1. Introduction

  • 2. The One Dimensional Case

  • 3. Basic Examples
    • 3.1. Self-similar Solutions in Bounded Domains

    • 3.2. Travelling Waves in Unbounded Domains

  • 4. Weak Solutions

  • 5. The Fully Nonlinear Equations Approach

  • 6. Special Geometries
    • 6.1. Radially Symmetric Solutions

    • 6.2. Solutions Monotonic Along Some Direction

    • 6.3. Solutions Close to Self-similar Solutions, Travelling Waves etc.

  • References

Mathematics Subject Classification (2000):

34Gxx 34K30 35K90 42A45 47Axx 47D06 47D07 49J20 60J25 93B28 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di ParmaParmaItaly

Personalised recommendations