On the blow up of a non-local transport equation in compact manifolds
From MaRDI portal
Publication:5055628
DOI10.1090/proc/16138zbMath1503.35148arXiv2205.15310OpenAlexW4282975004MaRDI QIDQ5055628
Diego Alonso-Orán, Ángel D. Martínez
Publication date: 9 December 2022
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.15310
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Vortex flows for incompressible inviscid fluids (76B47) Blow-up in context of PDEs (35B44) PDEs in connection with geophysics (35Q86) PDEs on manifolds (35R01) Geophysical flows (76U60)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations
- Blow up for the generalized surface quasi-geostrophic equation with supercritical dissipation
- Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
- Well-posedness for a transport equation with nonlocal velocity
- Pseudodifferential operators and nonlinear PDE
- Further properties of a continuum of model equations with globally defined flux
- Global well-posedness of critical surface quasigeostrophic equation on the sphere
- Continuity of weak solutions of the critical surface quasigeostrophic equation on \(\mathbb{S}^2\)
- On Kato-Ponce and fractional Leibniz
- A maximum principle applied to quasi-geostrophic equations
- Analytic structure of two 1D-transport equations with nonlocal fluxes
- Infinite energy solutions of the surface quasi-geostrophic equation
- Remarks on a nonlocal transport
- Formation of singularities for multi-dimensional transport equations with nonlocal velocity
- A pointwise inequality for fractional Laplacians
- Blow-up of solutions for a 1D transport equation with nonlocal velocity and supercritical dissipation
- Formation of singularities for a transport equation with nonlocal velocity
- The spectral function of an elliptic operator
- An inequality for Riesz transforms implying blow-up for some nonlinear and nonlocal transport equations
- On a transport equation with nonlocal drift
- Generalized surface quasi-geostrophic equations with singular velocities
- Dissipative Quasi-Geostrophic Equation: Local Well-posedness, Global Regularity and Similarity Solutions
- Finite time singularities for a class of generalized surface quasi-geostrophic equations
- Regularity and Blow up for Active Scalars
- Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
- Surface quasi-geostrophic dynamics
- On a one-dimensional 𝛼-patch model with nonlocal drift and fractional dissipation
- Hangzhou Lectures on Eigenfunctions of the Laplacian
- On the Transport Equations with Singular/Regular Nonlocal Velocities
This page was built for publication: On the blow up of a non-local transport equation in compact manifolds
