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On the Uniqueness and Existence Problem for a Multidimensional Reacting and Convection System
Author(s) -
Li Jiequan
Publication year - 2000
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610700001277
Subject(s) - uniqueness , mathematics , viscosity , uniqueness theorem for poisson's equation , convection , mathematical analysis , stability (learning theory) , thermodynamics , physics , computer science , machine learning
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 L 1 ‐modulus of continuity of solutions independent of the small viscosity is obtained.