تقرير
Reaction-diffusion transport into core-shell geometry: Well-posedness and stability of stationary solutions
| العنوان: | Reaction-diffusion transport into core-shell geometry: Well-posedness and stability of stationary solutions |
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| المؤلفون: | de Jong, T. G., Prokert, G., Sterk, A. E. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Quantitative Biology |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Quantitative Biology - Cell Behavior, 92C50, 35K55, 34K20 |
| الوصف: | We investigate a nonlinear parabolic reaction-diffusion equation describing the oxygen concentration in encapsulated pancreatic cells with a general core-shell geometry. This geometry introduces a discontinuous diffusion coefficient as the material properties of the core and shell differ. We apply monotone operator theory to show well-posedness of the problem in the strong form. Furthermore, the stationary solutions are unique and asymptotically stable. These results rely on the gradient structure of the underlying PDE. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2305.03397 |
| رقم الأكسشن: | edsarx.2305.03397 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |