Nonlinear instability for the Boussinesq equations with diabatic forcing

DOI10.1016/j.na.2017.08.001zbMath1379.35231OpenAlexW2765974439MaRDI QIDQ1683742

Peng Zhang

Publication date: 1 December 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2017.08.001

zbMATH Keywords

well-posednesscontinued fractionsinviscid Boussinesq equationsdiabatic heatingNonlinear instability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Parallel shear flows in hydrodynamic stability (76E05)

Cites Work

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• Global well-posedness of the 2D Boussinesq equations with vertical dissipation
• Instability for the Navier-Stokes equations on the 2-dimensional torus and a lower bound for the Hausdorff dimension of their global attractors
• Nonlinear instability in an ideal fluid
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• On a singular incompressible porous media equation
• GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
• On the ill/well-posedness and nonlinear instability of the magneto-geostrophic equations
• On the two-dimensional, hydrostatic flow of a stream of moist air over a mountain ridge
• Transient critical-level effect for internal gravity waves in a stably stratified shear flow with thermal forcing
• Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid
• Theoretical and Practical Aspects of Some Initial Boundary Value Problems in Fluid Dynamics
• Local existence and blow-up criterion for the Boussinesq equations