Methods and Applications of Analysis

Volume 9 (2002)

Number 4

Diagonal Defect Measures, Adhesion Dynamics and Euler Equation

Pages: 533 – 562

DOI: http://dx.doi.org/10.4310/MAA.2002.v9.n4.a4

Author

Frederic Poupaud

Abstract

This paper is concerned with the existence and the stability of global solutions, with concentrations, for two systems of Partial Differential Equations. The first one is a system modeling adhesion dynamics, the second one is the incompressible Euler equations in vorticity form, with vortex points of distinguished sign. The results are obtained in two space dimension. In order to study the concentrations effects, defect measures for sequences of tensor products of measures are introduced.

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