A singular perturbation problem in a system of nonlinear Schrödinger equation occurring in Langmuir turbulence
| Autor: | Cédric Galusinski |
|---|---|
| Rok vydání: | 2000 |
| Předmět: |
Cauchy problem
Numerical Analysis Singular perturbation Partial differential equation Langmuir Turbulence Applied Mathematics Mathematical analysis Existence theorem Context (language use) Schrödinger equation Computational Mathematics symbols.namesake Modeling and Simulation symbols Nonlinear Schrödinger equation Analysis Mathematical physics Mathematics |
| Zdroj: | ESAIM: Mathematical Modelling and Numerical Analysis. 34:109-125 |
| ISSN: | 1290-3841 0764-583X |
| DOI: | 10.1051/m2an:2000133 |
| Popis: | The aim of this work is to establish, from a mathematical point of view, the limit α → +∞ in the system where . This corresponds to an approximation which is made in the context of Langmuir turbulence in plasma Physics. The L 2 -subcritical σ (that is σ ≤ 2/3) and the H 1 -subcritical σ (that is σ ≤ 2) are studied. In the physical case σ = 1, the limit is then studied for the norm. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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