Work

Existence and uniqueness of the solutions to convection–diffusion equations

Year: 2026

Type: article

Abstract: In this work, we study convection–diffusion equations in the cases of bounded drifts and drifts induced by the gradient of a potential. We define a new notion of solution and prove its existence and uniqueness. Furthermore, we show the conservation of mass, the convergence to the initial data, and the strong maximum principle.

Source: Journal of Evolution Equations

DOI: 10.1007/s00028-026-01184-z

Author: Alireza Ataei

Institution: Uppsala University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Uppsala Universitet