An Introduction to the Theory of Wave Maps and Related by Dan-Andrei Geba,Manoussos G Grillakis

By Dan-Andrei Geba,Manoussos G Grillakis

The wave maps process is among the most pretty and hard nonlinear hyperbolic structures, which has captured the eye of mathematicians for greater than thirty years now. within the examine of its quite a few concerns, reminiscent of the well-posedness concept, the formation of singularities, and the soundness of the solitons, so as to receive optimum effects, one has to exploit tricky instruments coming not just from research, but in addition from geometry and topology. in addition, the wave maps approach is not anything except the Euler–Lagrange process for the nonlinear sigma version, that is one of many primary difficulties in classical box theory.

One of the targets of our publication is to offer an updated and nearly self-contained review of the most regularity effects proved for wave maps.

Another one is to introduce, to a large mathematical viewers, bodily prompted generalizations of the wave maps method (e.g., the Skyrme model), that are tremendous fascinating and tough of their personal right.

Show description

Read Online or Download An Introduction to the Theory of Wave Maps and Related Geometric Problems PDF

Best geometry & topology books

STAAR Test Algebra I Reference Chart Workbook /Study Guide

The country of Texas tests of educational Readiness evaluate for Algebra I offers a reference chart to accomplish the tip in fact examination. the aim of this learn advisor is to enhance the entire geometry equations at the S. T. A. A. R Algebra I reference chart. The reference chart presents the equations for the geometric recommendations being assessed from TEKS(Texas crucial wisdom and Skills).

Emerging Applications of Algebraic Geometry: 149 (The IMA Volumes in Mathematics and its Applications)

Fresh advances in either the speculation and implementation of computational algebraic geometry have ended in new, impressive functions to numerous fields of study. The articles during this quantity spotlight a number those functions and supply introductory fabric for subject matters lined within the IMA workshops on "Optimization and regulate" and "Applications in Biology, Dynamics, and data" held throughout the IMA yr on purposes of Algebraic Geometry.

Differential Characters (Lecture Notes in Mathematics)

Offering a scientific advent to differential characters as brought via Cheeger and Simons, this article describes very important strategies resembling fiber integration, better dimensional holonomy, transgression, and the product constitution in a geometrical demeanour. Differential characters shape a version of what's these days known as differential cohomology, that's the mathematical constitution in the back of the better gauge theories in physics.

Elementargeometrie: Fachwissen für Studium und Mathematikunterricht (German Edition)

Das vorliegende Lehrbuch führt in alle unterrichtsrelevanten Themen der Elementargeometrie ein. Es eignet sich als Begleitbuch zur gleichnamigen Vorlesung für Studierende des Lehramts Mathematik sowohl in den Bachelor- als auch in den Staatsexamensstudiengängen. Die beiden letzten Kapitel eignen sich für vertiefende Lehrveranstaltungen und bieten viele mögliche Themen für Seminar- und Studienarbeiten.

Additional resources for An Introduction to the Theory of Wave Maps and Related Geometric Problems

Example text

Download PDF sample

Rated 4.55 of 5 – based on 47 votes