An algorithmic construction of entropies in higher-order nonlinear PDEs

DOI10.1088/0951-7715/19/3/006zbMath1091.35031OpenAlexW2061632248MaRDI QIDQ3376405

Daniel Matthes, Ansgar Jüngel

Publication date: 23 March 2006

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/495a43d227358d2ba0cf88e402dd9798d72b4741

zbMATH Keywords

logarithmic Sobolev inequalitiesporous medium equationone space dimensionthin film equationquantum drift-diffusion model

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Thin fluid films (76A20) Lubrication theory (76D08) A priori estimates in context of PDEs (35B45) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Higher-order parabolic equations (35K25)

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Uses Software

• QEPCAD
• Sostools

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