A Note on Singularity Formation for a Nonlocal Transport Equation (Research)
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Publication:5118674
DOI10.1007/978-3-030-42687-3_15zbMath1440.35255arXiv1908.09424OpenAlexW3042936204MaRDI QIDQ5118674
Publication date: 26 August 2020
Published in: Advances in Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.09424
Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) First-order nonlinear hyperbolic equations (35L60) Blow-up in context of PDEs (35B44) PDEs in connection with geophysics (35Q86) Euler equations (35Q31)
Cites Work
- Small scale creation for solutions of the incompressible two-dimensional Euler equation
- Cusp formation for a nonlocal evolution equation
- Blowup with vorticity control for a 2D model of the Boussinesq equations
- Finite time blow up for a 1D model of 2D Boussinesq system
- Formation of singularities for a transport equation with nonlocal velocity
- Vorticity and Incompressible Flow
- Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
- 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
- Potentially singular solutions of the 3D axisymmetric Euler equations
- On a one-dimensional 𝛼-patch model with nonlocal drift and fractional dissipation
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