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On the well-posedness of some model arising in the mathematical biology
- Publication Year :
- 2024
-
Abstract
- In the article we establish the global well-posedness in W^{1, 2, 2}(R\times R^{+}) of the integro-differential equation in the case of the anomalous diffusion when the one dimensional negative Laplace operator is raised to a fractional power in the presence of the transport term. The model is relevant to the cell population dynamics in the Mathematical Biology. Our proof relies on a fixed point technique.
- Subjects :
- Mathematics - Analysis of PDEs
Mathematical Physics
35R11, 35K57, 35R09
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2404.04342
- Document Type :
- Working Paper