Singular Solutions for Nonlocal Systems of Evolution Equations with Vorticity Stretching

DOI10.1137/19M1265570zbMath1447.35268MaRDI QIDQ5110286

Maria Radosz, Vu Phuong Hoang

Publication date: 18 May 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

blowupsingularity formationfluid dynamicsvorticity controlasymptotic solution profile

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Incompressible inviscid fluids (76B99) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

Related Items

Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations

Cites Work

• Unnamed Item
• Unnamed Item
• Small scale creation for solutions of the incompressible two-dimensional Euler equation
• Cusp formation for a nonlocal evolution equation
• Finite time blow up in the hyperbolic Boussinesq system
• Blowup with vorticity control for a 2D model of the Boussinesq equations
• Infinite energy solutions of the surface quasi-geostrophic equation
• Finite time blow up for a 1D model of 2D Boussinesq system
• On the effects of advection and vortex stretching
• Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation
• Formation of singularities for a transport equation with nonlocal velocity
• Vorticity and Incompressible Flow
• On a transport equation with nonlocal drift
• On the Finite‐Time Blowup of a One‐Dimensional Model for the Three‐Dimensional Axisymmetric Euler Equations
• A simple one‐dimensional model for the three‐dimensional vorticity equation
• Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation
• Dynamic stability of the three‐dimensional axisymmetric Navier‐Stokes equations with swirl