Finite time blow up in the hyperbolic Boussinesq system
From MaRDI portal
Publication:1688626
DOI10.1016/j.aim.2017.11.019zbMath1382.35054arXiv1609.02468OpenAlexW2518742891MaRDI QIDQ1688626
Changhui Tan, Alexander Kiselev
Publication date: 11 January 2018
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.02468
PDEs in connection with fluid mechanics (35Q35) Blow-up in context of PDEs (35B44) Euler equations (35Q31)
Related Items
On the dynamics of the roots of polynomials under differentiation, The 2D Boussinesq equations with fractional horizontal dissipation and thermal diffusion, Global Regularity of NonDiffusive Temperature Fronts for the Two-Dimensional Viscous Boussinesq System, Regularity results for viscous 3D Boussinesq temperature fronts, Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations, Singular Solutions for Nonlocal Systems of Evolution Equations with Vorticity Stretching, Singularity formation in the incompressible Euler equation in finite and infinite time, Stability and large-time behavior of the 2D Boussinesq equations with partial dissipation, A fluid mechanic’s analysis of the teacup singularity, Finite time blowup of 2D Boussinesq and 3D Euler equations with \(C^{1, \alpha}\) velocity and boundary, Optimal decay estimates for 2D Boussinesq equations with partial dissipation, Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation, Boundary layer models of the Hou-Luo scenario, Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives, Analysis of a singular Boussinesq model, Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy, The stabilizing effect of the temperature on buoyancy-driven fluids
Cites Work
- Unnamed Item
- Small scale creation for solutions of the incompressible two-dimensional Euler equation
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation
- Blowup with vorticity control for a 2D model of the Boussinesq equations
- Un théorème sur l'existence du mouvement plan d'un fluide parfait, homogene, incompressible, pendant un temps infiniment long
- An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations
- Finite time blow up for a 1D model of 2D Boussinesq system
- Self-similar singularity of a 1D model for the 3D axisymmetric Euler equations
- Vorticity and Incompressible Flow
- On the Finite‐Time Blowup of a One‐Dimensional Model for the Three‐Dimensional Axisymmetric Euler Equations
- Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation
