| Autor: |
Tawikan Treeyaprasert |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100912- (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2666-8181 |
| DOI: |
10.1016/j.padiff.2024.100912 |
| Popis: |
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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
