Finite time blowup for parabolic systems in two dimensions

DOI10.1007/S00205-016-1052-5zbMath1366.35066arXiv1604.05616OpenAlexW3102652922MaRDI QIDQ509953

Connor Mooney

Publication date: 16 February 2017

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.05616

zbMATH Keywords

self-similar solutionsgradient flowsquasilinear systems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Second-order parabolic systems (35K40) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Related Items (5)

On regularity of weak solutions to linear parabolic systems with measurable coefficients ⋮ Optimality of integrability estimates for advection-diffusion equations ⋮ Regularity properties of passive scalars with rough divergence-free drifts ⋮ Two-phase problem for quasilinear parabolic systems with nondiagonal principal matrix. Regularity of weak solutions ⋮ Global existence for a class of viscous systems of conservation laws

Cites Work

• On the nonlinear parabolic systems in divergence form. Hölder continuity and partial Hölder continuity of the solutions
• Continuity of Solutions of Parabolic and Elliptic Equations
• On the regularity of weak solutions to parabolic systems in two spatial dimensions
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