Work

On the well-posedness of a certain model with mixed diffusion appearing in the mathematical biology

Year: 2026

Type: preprint

Abstract: The work deals with establishing the global well-posedness in the space $W^{(1,2),2}(R^{2}\times R^{+})$ of the integro-differential equation in the space of two dimensions in the situation when the diffusion term involves the standard Laplace operator in one direction and the fractional Laplacian in another direction in the presence of the drift term. Such model is relevant to the cell population dynamics in the Mathematical Biology. The proof is based on a fixed point technique.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.39166

Authors: Efendiev, Messoud, Vougalter, Vitali

Institutions: Helmholtz Munich, Azerbaijan University of Architecture and Construction, University of Toronto

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7224949533

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