تقرير
Exact Solutions of a Time-Delay Advection Equation and a Fractional Time-Delay Advection Equation
| العنوان: | Exact Solutions of a Time-Delay Advection Equation and a Fractional Time-Delay Advection Equation |
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| المؤلفون: | Angstmann, Christopher N., Burney, Stuart-James M., Han, Daniel S., Henry, Bruce I., Huang, Boris Z., Xu, Zhuang |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 35C10, 35F10, 34K06, 42A38, 33E20 |
| الوصف: | Exact solutions are derived for a time-delay advection equation and a fractional-order time-delay advection equation with a time-delay in the spatial derivative. Solutions are obtained, for arbitrary separable initial conditions, by incorporating recently introduced delay functions in a separation of variables approach. Examples are provided showing oscillatory and translatory behaviours fundamentally different to standard propagating wave solutions. Comment: Letter |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.00897 |
| رقم الأكسشن: | edsarx.2406.00897 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |