Abstract
In this note we study the spatial behaviour of the Moore-Gibson-Thompson equation. As it is a hyperbolic equation, we prove that the solutions do not grow along certain spatial-time lines. Given the presence of dissipation, we show that the solutions also decay exponentially in certain directions.
| Original language | English (US) |
|---|---|
| Article number | 105 |
| Journal | Journal of Mathematical Fluid Mechanics |
| Volume | 23 |
| Issue number | 4 |
| DOIs | |
| State | Published - Nov 2021 |
Keywords
- Domain of influence
- Exponential decay
- Moore-Gibson-Thompson equation
- Spatial estimates
ASJC Scopus subject areas
- Mathematical Physics
- Condensed Matter Physics
- Computational Mathematics
- Applied Mathematics