دورية أكاديمية
On the Global Nonexistence of a Solution for Wave Equations with Nonlinear Memory Term
| العنوان: | On the Global Nonexistence of a Solution for Wave Equations with Nonlinear Memory Term |
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| المؤلفون: | Soufiane Bousserhane Reda, Amer Memou, Abdelhak Berkane, Ahmed Himadan, Abdelkader Moumen, Hicham Saber, Tariq Alraqad |
| المصدر: | Fractal and Fractional, Vol 7, Iss 11, p 788 (2023) |
| بيانات النشر: | MDPI AG, 2023. |
| سنة النشر: | 2023 |
| المجموعة: | LCC:Thermodynamics LCC:Mathematics LCC:Analysis |
| مصطلحات موضوعية: | Lyapunov functions, wave equations, well-posedness, nonlinear memory term, exponential, multiplier method, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433 |
| الوصف: | The paper is devoted to the problem of the local existence for a solution to a nonlinear wave equation, with the dissipation given by a nonlinear form with the presence of a nonlinear memory term. Moreover, the global nonexistence of a solution is established using the test function method. We combine the Fourier transform and fractional derivative calculus to achieve our goal. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2504-3110 |
| Relation: | https://www.mdpi.com/2504-3110/7/11/788; https://doaj.org/toc/2504-3110 |
| DOI: | 10.3390/fractalfract7110788 |
| URL الوصول: | https://doaj.org/article/56adb0f954e045d09d768ddd311d69f2 |
| رقم الأكسشن: | edsdoj.56adb0f954e045d09d768ddd311d69f2 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 25043110 |
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| DOI: | 10.3390/fractalfract7110788 |