Spatial Behaviour of Solutions of the Moore-Gibson-Thompson Equation

M. Ostoja-Starzewski, R. Quintanilla

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Article number105
JournalJournal of Mathematical Fluid Mechanics
Issue number4
StatePublished - Nov 2021


  • Domain of influence
  • Exponential decay
  • Moore-Gibson-Thompson equation
  • Spatial estimates

ASJC Scopus subject areas

  • Mathematical Physics
  • Condensed Matter Physics
  • Computational Mathematics
  • Applied Mathematics


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