Quenching for solutions of a plasma type equation

DOI10.1016/0362-546X(92)90168-EzbMath0766.35037OpenAlexW1971844031MaRDI QIDQ4030854

Keng Deng

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90168-e

zbMATH Keywords

monotonicitystabilityinitial-boundary value problemlocal existencecomparison theoremglobal existenceplasma physicssubsolutionsupersolutionsingular parabolic equationequilibrium state

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (8)

Stabilization of solutions of a nonlinear parabolic equation with a gradient term ⋮ A thermal explosion model ⋮ Pointwise gradient estimates in multi-dimensional slow diffusion equations with a singular quenching term ⋮ Quenching phenomenon for a non-Newtonian filtration equation with singular boundary flux ⋮ Exact multiplicity and ordering properties of positive solutions of a \(p\)-Laplacian Dirichlet problem and their applications. ⋮ An exact multiplicity theorem involving concave-convex nonlinearities and its application to stationary solutions of a singular diffusion problem ⋮ A quenching phenomenon for one-dimensional \(p\)-Laplacian with singular boundary flux ⋮ Existence and nonexistence of global classical solutions to porous medium and plasma equations with singular sources

Cites Work

• Global bifurcation of steady-state solutions
• Quenching, nonquenching, and beyond quenching for solution of some parabolic equations
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• On solutions of a perturbed fast diffusion equation
• On the Blowup of u t at Quenching
• Continuity of solutions of a singular parabolic equation

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