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ON THE UNIQUENESS AND EXISTENCE PROBLEM FOR A MULTIDIMENSIONAL REACTING AND CONVECTION SYSTEM

Published online by Cambridge University Press:  08 January 2001

JIEQUAN LI
JIEQUAN LI
Affiliation:
Institute of Mathematics, Academia Sinica, Beijing 100080, China
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Abstract

The paper is concerned with the uniqueness and existence problem for a multidimensional reacting and convection system with the vanishing viscosity method. The uniqueness theorem is obtained from the stability with respect to the initial data. To solve the existence problem, the uniqueness and existence of solutions to a viscous system are first proved, and then the L1-modulus of continuity of solutions independent of the small viscosity is obtained.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 62 , Issue 2 , October 2000 , pp. 473 - 488
Copyright
The London Mathematical Society 2000

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