Interfacial phenomena of the forward backward convection-diffusion equations

DOI10.1016/j.aml.2016.02.013zbMath1381.35093arXiv1812.10205OpenAlexW2289023291MaRDI QIDQ274257

Lianzhang Bao, Rui Huang

Publication date: 22 April 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.10205

zbMATH Keywords

free boundary problemdegenerate diffusionforward backward convection-diffusion equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35) Quasilinear parabolic equations (35K59)

Related Items (1)

Continuum and lattice models analysis of the aggregation diffusion cell movement

Cites Work

• Traveling wave in backward and forward parabolic equations from population dynamics
• On the evolution of subcritical regions for the Perona-Malik equation
• A one-dimensional model of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion
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• Radial weak solutions for the Perona-Malik equation as a differential inclusion
• Existence of infinitely many solutions for the one-dimensional Perona-Malik model
• Existence of Infinitely Many Solutions for a Forward Backward Heat Equation
• A mathematical model of turbulent heat and mass transfer in stably stratified shear flow
• The Perona--Malik Paradox
• Aggregation under local reinforcement: From lattice to continuum
• Convex Integration and Infinitely Many Weak Solutions to the Perona--Malik Equation in All Dimensions
• Young measure solutions for a class of forward-backward convection-diffusion equations

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