The entropy weak solution to a nonlinear shallow water wave equation including the Degasperis-Procesi model
A nonlinear model, which characterizes motions of shallow water waves and includes the famous Degasperis-Procesi equation, is considered. The essential step is the derivation of the $ L^2(\mathbb{R}) $ uniform bound of solutions for the nonlinear model if its initial value belongs to space $ L^2(\ma...
| الحاوية / القاعدة: | AIMS Mathematics |
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| المؤلفون الرئيسيون: | , |
| التنسيق: | مقال |
| اللغة: | الإنجليزية |
| منشور في: |
AIMS Press
2024-01-01
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://aimspress.com/article/doi/10.3934/math.2024086?viewType=HTML |
| الملخص: | A nonlinear model, which characterizes motions of shallow water waves and includes the famous Degasperis-Procesi equation, is considered. The essential step is the derivation of the $ L^2(\mathbb{R}) $ uniform bound of solutions for the nonlinear model if its initial value belongs to space $ L^2(\mathbb{R}) $. Utilizing the bounded property leads to several estimates about its solutions. The viscous approximation technique is employed to establish the well-posedness of entropy weak solutions. |
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| تدمد: | 2473-6988 |