Dispersive blow-up for solutions of the Zakharov-Kuznetsov equation
| Autor: | Ademir Pastor, Felipe Linares, J. Drumond Silva |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
35Q53
35B44 Physics Linear component Applied Mathematics 010102 general mathematics Mathematical analysis Mathematics::Analysis of PDEs 01 natural sciences 010101 applied mathematics Nonlinear system Mathematics - Analysis of PDEs Nonlinear Sciences::Exactly Solvable and Integrable Systems Physics::Plasma Physics FOS: Mathematics Linear problem Kondratiev wave Point (geometry) Gravitational singularity 0101 mathematics Mathematical Physics Analysis Analysis of PDEs (math.AP) |
| Zdroj: | Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 38:281-300 |
| ISSN: | 1873-1430 0294-1449 |
| Popis: | The main purpose here is the study of dispersive blow-up for solutions of the Zakharov-Kuznetsov equation. Dispersive blow-up refers to point singularities due to the focusing of short or long waves. We will construct initial data such that solutions of the linear problem present this kind of singularities. Then we show that the corresponding solutions of the nonlinear problem present dispersive blow-up inherited from the linear component part of the equation. Similar results are obtained for the generalized Zakharov-Kuznetsov equation. |
| Databáze: | OpenAIRE |
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