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Non-instantaneous single- and multi-impulsive advection-diffusion-reaction equations.
- Source :
- AIP Conference Proceedings; 2022, Vol. 2528 Issue 1, p1-4, 4p
- Publication Year :
- 2022
-
Abstract
- In the present article, we study singular limits of weak energy solutions to non-instantaneous single-and multi-impulsive advection-diffusion-reaction equation as impulsive source terms collapse to time-dependent the Dirac delta-functions, i.e., to instant impulses. We establish that the limiting functions are the solutions of the instantaneous impulsive advection-diffusion-reaction equations. Besides, in the multi-impulsive case we find the effect of transition to an equilibrium as a number of impulses grows infinitely. The results can be applied to further modeling of such processes as frost-quakes in glaciology. [ABSTRACT FROM AUTHOR]
- Subjects :
- EQUATIONS
GLACIOLOGY
EQUILIBRIUM
Subjects
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 2528
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 158935457
- Full Text :
- https://doi.org/10.1063/5.0106234