Asymptotic Approximation of Hyperbolic Weakly Nonlinear Systems
نویسندگان
چکیده
منابع مشابه
Asymptotic Approximation of Hyperbolic Weakly Nonlinear Systems
An averaging method for getting uniformly valid asymptotic approximations of the solution of hyperbolic systems of equations is presented. The averaged system of equations disintegrates into independent equations for non-resonance systems. We consider the resonance conditions for some classes of solutions. The averaged system can be solved numerically in the resonance case. The shallow water pr...
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Hyperbolic-parabolic systems have spatially homogenous stationary states. When the dissipation is weak, one can derive weakly nonlinear-dissipative approximations that govern perturbations of these constant states. These approximations are quadratically nonlinear. When the original system has an entropy, the approximation is formally dissipative in a natural Hilbert space. We show that when the...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2001
ISSN: 1776-0852
DOI: 10.2991/jnmp.2001.8.4.2