Work

Quenching behavior and critical speed for a parabolic problem due to a moving nonlinear source

Year: 2024

Type: article

Abstract: This article investigates an initial–boundary value problem on the semi-infinite interval for a parabolic equation with a moving nonlinear source. The study presents criteria for both finite-time quenching and global existence of the solution. It is shown that there exists a critical speed v ∗ for the nonlinear source, ensuring global existence of the solution when the speed of the moving nonlinear source is greater than or equal to v ∗ , while finite-time quenching occurs when the speed is smaller than v ∗ . The formula to calculate the critical speed v ∗ is also provided for a special case.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2024.100912

Author: Tawikan Treeyaprasert

Institution: Thammasat University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,230

OpenAlex ID: W4402406254

FWCI:

Cites: 14

Cited by:

Related to: 10