Spatial behaviour of solutions of the Moore-Gibson-Thompson equation
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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.
CitationOstoja-Starzewski, M.; Quintanilla, R. Spatial behaviour of solutions of the Moore-Gibson-Thompson equation. "Journal of Mathematical Fluid Mechanics", Novembre 2021, vol. 23, núm. 4, article 105.