The inviscid limit for the complex Ginzburg–Landau equation
نویسندگان
چکیده
منابع مشابه
The Inviscid Limit of the Complex Ginzburg–Landau Equation
Naturally the question of inviscid limit arises. Does the solution u of the CGL equation (1.1) tend to (in an appropriate space norm) the solution v of the NLS equation (1.2) as the parameters a and b tend to 0? What is the convergence rate? The answers are not immediate especially when the initial data for these equations are not smooth. Because of its importance in both mathematical theory an...
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We consider the behaviour of the distribution for stationary solutions of the complex Ginzburg–Landau equation perturbed by a random force. It was proved in [KS04] that if the random force is proportional to the square root of the viscosity ν > 0, then the family of stationary measures possesses an accumulation point as ν → 0. We show that if μ is such point, then the distributions of the L nor...
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In the inviscid limit the generalized complex Ginzburg–Landau equation reduces to the nonlinear Schrödinger equation. This limit is proved rigorously with H 1 data in the whole space for the Cauchy problem and in the torus with periodic boundary conditions. The results are valid for nonlinearities with an arbitrary growth exponent in the defocusing case and with a subcritical or critical growth...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2003
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(03)00143-4