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Displaying similar documents to “On weak-strong uniqueness property for full compressible magnetohydrodynamics flows”

Conditions of Prodi-Serrin's type for local regularity of suitable weak solutions to the Navier-Stokes equations

Zdeněk Skalák (2002)

Commentationes Mathematicae Universitatis Carolinae

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In the context of suitable weak solutions to the Navier-Stokes equations we present local conditions of Prodi-Serrin’s type on velocity 𝐯 and pressure p under which ( 𝐱 0 , t 0 ) ∈ Ω × ( 0 , T ) is a regular point of 𝐯 . The conditions are imposed exclusively on the outside of a sufficiently narrow space-time paraboloid with the vertex ( 𝐱 0 , t 0 ) and the axis parallel with the t -axis.

Regularity for entropy solutions of a class of parabolic equations with irregular data

Fengquan Li (2007)

Commentationes Mathematicae Universitatis Carolinae

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Using as a main tool the time-regularizing convolution operator introduced by R. Landes, we obtain regularity results for entropy solutions of a class of parabolic equations with irregular data. The results are obtained in a very general setting and include known previous results.