# A free boundary problem for a nonlinear diffusion-convection equation

## A free boundary problem for a nonlinear diffusion-convection equation

## Abstract

Free boundary problems are of great importance, both physically and mathematically. Free

boundary problems are boundary value problems for partial differential equations where an unknown

moving boundary must be determined. In this paper, we formulate a free boundary problem for a

nonlinear diffusion-convection equation namely Rosen-Fokas-Yorstos equation [1]. This equation

describes fluid diffusion with convective

## References

Briozzo, A.C., Tarzia, D.A. A free boundary problem for a diffusion-convection equation.

International Journal of Non-Linear Mechanics, 120, 103394, (2020).

Burini, D., De Lillo, S., Fioriti, G. Nonlinear diffusion in arterial tissues: a free boundary

problem. Acta Mech 229, 4215-4228 (2018).

## Published

2024-06-07

## How to Cite

*MODERN PROBLEMS AND PROSPECTS OF APPLIED MATHEMATICS*,

*1*(01). Retrieved from https://ojs.qarshidu.uz/index.php/mp/article/view/603

## Issue

## Section

Mathematical analysis, differential equations and equations of mathematical physics