تقرير
Long time behavior of small solutions in the viscous Klein-Gordon equation
| العنوان: | Long time behavior of small solutions in the viscous Klein-Gordon equation |
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| المؤلفون: | Garénaux, Louis, de Rijk, Björn |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 35B40 (Primary), 35B34, 35B35, 35G25, 35E15, 35Q40 (Secondary) |
| الوصف: | For a viscous Klein-Gordon equation with quadratic nonlinearity, we prove that small solutions exist on exponentially long time scale. Our approach is based on the space-time resonance method in a diffusive setting. It allow to identify, through a simple computation, which of the non-linear effects are critical. The main technical challenge is to handle the interaction of two oscillating and diffusive modes. Comment: 21 pages, 1 figure |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.02220 |
| رقم الأكسشن: | edsarx.2402.02220 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |