(In-)stability of the 2D stable Boussinesq equations

Analysis of Fluids and Related Topics
  • Roberta Bianchini
  • Consiglio Nazionale delle Ricerche
  • (In-)stability of the 2D stable Boussinesq equations
Dec 14, 2023
3 - 4 pm
Fine Hall 314

Internal gravity wave instabilities play a significant role in geophysical fluids, often leading to the creation of time-growing solutions in fluid equations due to nonlinear effects. In our work, we explicitly construct solutions of the Boussinesq equations, linearized around a plane wave, which exhibit exponential growth in time. This growth arises under specific resonance conditions. This research represents a first step in describing the TRI phenomenon. Joint work with Thierry Paul.