On a degenerate parabolic equation with singular convection

DOI10.1016/0362-546X(95)00141-HzbMath0865.35072MaRDI QIDQ4714614

Shuanhu Li

Publication date: 10 July 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

similarity solutionparabolic regularizationsingular convection

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)

Related Items (9)

Existence and uniqueness of radial solutions for fresh/salt water interface equation in a confined aquifer ⋮ Asymptotic behavior of global classical solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems with small BV data ⋮ Global solution to the generalized Riemann problem in the presence of a boundary and contact discontinuities ⋮ Global classical solutions to a kind of mixed initial-boundary value problem for inhomogeneous quasilinear hyperbolic systems. ⋮ Asymptotic behavior of global classical solutions of quasilinear non-strictly hyperbolic systems with weakly linear degeneracy ⋮ Breakdown of classical solutions to quasilinear hyperbolic systems ⋮ Global existence of weakly discontinuous solutions to a kind of mixed initial-boundary value problem for quasilinear hyperbolic systems ⋮ Global classical solutions to partially dissipative quasilinear hyperbolic systems with one weakly linearly degenerate characteristic ⋮ Global classical solutions to the equations of two-dimensional MHD transverse flow

Cites Work

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• Regularity properties of a doubly degenerate equation in hydrology
• On a doubly nonlinear diffusion equation in hydrology
• A nonlinear singular boundary value problem
• A Nonlinear Evolution Problem Arising in the Physics of Ionized Gases
• Hölder Continuity of Solutions of Parabolic Equations
• A class of similarity solutions of the nonlinear diffusion equation
• On a doubly degenerate equation arising in fresh-salt water flow with pumping

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