The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity

DOI10.1080/03605302.2015.1116557zbMath1343.35047OpenAlexW2276587211MaRDI QIDQ2810598

Leonid Ryzhik, Mihaela Ignatova, Igor Kukavica

Publication date: 3 June 2016

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2015.1116557

zbMATH Keywords

advection-diffusion equationsMoser technique

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45) Second-order parabolic equations (35K10)

Related Items (6)

Regularity properties of passive scalars with rough divergence-free drifts ⋮ A return-to-home model with commuting people and workers ⋮ Reaction terms avoiding aggregation in slow fluids ⋮ Some interior regularity criteria involving two components for weak solutions to the 3D Navier-Stokes equations ⋮ Parabolic equations with divergence-free drift in space L_{t}^{l}L_{x}^{q} ⋮ A slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equations

Cites Work

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• On the dissipative scale for the Navier-Stokes equation
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• A harnack inequality for parabolic differential equations

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