Global solution for coupled nonlinear Klein-Gordon system.

Autor: Zai-hui Gan, Jian Zhang
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