Global solution for coupled nonlinear Klein-Gordon system.
Autor: | Zai-hui Gan, Jian Zhang |
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Předmět: | |
Zdroj: | Applied Mathematics & Mechanics; May2007, Vol. 28 Issue 5, p677-687, 11p |
Abstrakt: | The global solution for a coupled nonlinear Klein-Gordon system in two-dimensional space was studied. First, a sharp threshold of blowup and global existence for the system was obtained by constructing a type of cross-constrained variational problem and establishing so-called cross-invariant manifolds of the evolution flow. Then the result of how small the initial data for which the solution exists globally was proved by using the scaling argument. [ABSTRACT FROM AUTHOR] |
Databáze: | Complementary Index |
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