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Solutions with Singular Initial Data for a Model of Electrophoretic Separation

Published online by Cambridge University Press:  20 November 2018

Joel D. Avrin
Joel D. Avrin*
Affiliation:
University of North Carolina at Charlotte, Charlotte, North Carolina 28223
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Abstract

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Unique global strong solutions of a Cauchy problem arising in electrophoretic separation are constructed with arbitrary initial data in L1, thus generalizing an earlier global existence result. For small diffusion coefficients, the solutions can be viewed as approximate solutions for the corresponding zero-diffusion Riemann problem.

Keywords

35K35B
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 1 , 01 March 1990 , pp. 3 - 10
Copyright
Copyright © Canadian Mathematical Society 1990

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