On Echo Chains in the Linearized Boussinesq Equations Around Traveling Waves
From MaRDI portal
Publication:6083928
DOI10.1137/21m1458053zbMath1529.35420arXiv2103.15441OpenAlexW3144681538MaRDI QIDQ6083928
Publication date: 31 October 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.15441
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Blow-up in context of PDEs (35B44) Traveling wave solutions (35C07) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
Cites Work
- On Landau damping
- Linear inviscid damping for Couette flow in stratified fluid
- Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations
- Convergence to stratified flow for an inviscid 3D Boussinesq system
- Inviscid damping near the Couette flow in a channel
- Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion
- Optimal decay estimates for 2D Boussinesq equations with partial dissipation
- Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation
- On echo chains in Landau damping: traveling wave-like solutions and Gevrey 3 as a linear stability threshold
- On the Boussinesq equations with non-monotone temperature profiles
- Echo chains as a linear mechanism: norm inflation, modified exponents and asymptotics
- Stability of the Couette flow for a 2D Boussinesq system without thermal diffusivity
- Stability near hydrostatic equilibrium to the 2D Boussinesq equations without thermal diffusion
- Nonlinear echoes and Landau damping with insufficient regularity
- Linear inviscid damping in Sobolev and Gevrey spaces
- Stability of Couette flow for 2D Boussinesq system with vertical dissipation
- Linear inviscid damping and vorticity depletion for shear flows
- Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations
- Stability and decay rates for a variant of the 2D Boussinesq-Bénard system
- Linear inviscid damping in Gevrey spaces
- On circular flows: linear stability and damping
- Global regularity for the 2D Boussinesq equations with partial viscosity terms
- Linear inviscid damping for monotone shear flows in a finite periodic channel, boundary effects, blow-up and critical Sobolev regularity
- On enhanced dissipation for the Boussinesq equations
- Note on a paper of John W. Miles
- Sharp Decay Estimates for an Anisotropic Linear Semigroup and Applications to the Surface Quasi-Geostrophic and Inviscid Boussinesq Systems
- Local existence and blow-up criterion of Hölder continuous solutions of the Boussinesq equations
- On degenerate circular and shear flows: the point vortex and power law circular flows
- Linear Inviscid Damping for a Class of Monotone Shear Flow in Sobolev Spaces
- Linear inviscid damping for shear flows near Couette in the 2D stably stratified regime
- Asymptotic Stability for the Couette Flow in the 2D Euler Equations
- The stabilizing effect of the temperature on buoyancy-driven fluids
- Long‐Time Instability of the Couette Flow in Low Gevrey Spaces
- Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations
- Nonlinear inviscid damping near monotonic shear flows