A QUALITATIVE STUDY OF LINEAR DRIFT-DIFFUSION EQUATIONS WITH TIME-DEPENDENT OR DEGENERATE COEFFICIENTS

DOI10.1142/S0218202507001942zbMath1117.35030MaRDI QIDQ5297198

Jean Dolbeault, Reinhard Illner, Jean-Philippe Bartier, Michał Kowalczyk

Publication date: 18 July 2007

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

relative entropylogarithmic Sobolev inequalityentropy methodlarge time asymptoticstime-periodic solutionsconvex entropytraffic flowconvex Sobolev inequalityBrownian ratchet modelsentropy-entropy production method

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Initial-boundary value problems for second-order parabolic equations (35K20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Inequalities involving derivatives and differential and integral operators (26D10) Second-order parabolic equations (35K10)

Related Items (6)

High-frequency limit of non-autonomous gradient flows of functionals with time-periodic forcing ⋮ Improved intermediate asymptotics for the heat equation ⋮ φ-Entropies: convexity, coercivity and hypocoercivity for Fokker–Planck and kinetic Fokker–Planck equations ⋮ On the Bulk Velocity of Brownian Ratchets ⋮ Well-posedness of evolution equations with time-dependent nonlinear mobility: a modified minimizing movement scheme ⋮ Global well-posedness for the diffusion equation of population genetics

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