Mathematical Modelling of Natural Phenomena

Table of Contents - 2012 - Volume 7, Issue 02 (Solitary waves)  

Research Article

Nonexistence of Coherent Structures in Two-dimensional Inviscid Channel Flow

H. Kalisch 

University of Bergen, Department of Mathematics, P.O. Box 7800, 5020 Bergen, Norway

Abstract

Two-dimensional inviscid channel flow of an incompressible fluid is considered. It is shown that if the flow is steady and features no horizontal stagnation, then the flow must necessarily be a parallel shear flow.

(Online publication February 29 2012)

Key Words:

  • inviscid channel flow;
  • hodograph transform;
  • maximum principle;
  • steady flow

Mathematics Subject Classification:

  • 35J15;
  • 35Q31;
  • 76E05

Correspondence:

Corresponding author. E-mail: henrik.kalisch@math.uib.no