Blow-up for a semi-linear advection-diffusion system with energy conservation

DOI10.1007/s11401-007-0474-7zbMath1180.35132OpenAlexW2041364717MaRDI QIDQ1044828

Dapeng Du, Jing Lu

Publication date: 15 December 2009

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-007-0474-7

zbMATH Keywords

Navier-Stokes equationsradial initial dataself-similar singular solutions

Mathematics Subject Classification ID

Initial value problems for second-order parabolic systems (35K45) Foundations of fluid mechanics (76A02) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Self-similar solutions to PDEs (35C06)

Related Items (1)

On some model equations of Euler and Navier-Stokes equations

Cites Work

• The existence of bounded solutions of a semilinear elliptic equation
• Remark on the regularities of Kato's solutions to Navier-Stokes equations with initial data in \(L^d(\mathbb R^d)\)
• Asymptotically self‐similar blow‐up of semilinear heat equations
• The Existence of Bounded Solutions of a Semilinear Heat Equation
• Singular and regular solutions of a nonlinear parabolic system
• On self-similar singular solutions of the complex Ginzburg-Landau equation
• Unnamed Item
• Unnamed Item

This page was built for publication: Blow-up for a semi-linear advection-diffusion system with energy conservation