Asymptotics of blowup for a convection-diffusion equation with conservation

zbMath0856.35011MaRDI QIDQ1913882

Gregory R. Conner, Christopher P. Grant

Publication date: 21 January 1997

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

comparison principlesfinite-time blow up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

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Analysis of the loss of boundary conditions for the diffusive Hamilton-Jacobi equation ⋮ Continuation beyond interior gradient blow-up in a semilinear parabolic equation ⋮ Singularity formation and regularization at multiple times in the viscous Hamilton–Jacobi equation ⋮ Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equations in planar domains ⋮ Gradient blow-up rates and sharp gradient estimates for diffusive Hamilton-Jacobi equations ⋮ Gradient blowup behavior for a viscous Hamilton-Jacobi equation with degenerate gradient nonlinearity ⋮ Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equation in domains with non-constant curvature ⋮ Global solutions of inhomogeneous Hamilton-Jacobi equations ⋮ Rate estimates of gradient blowup for a heat equation with exponential nonlinearity ⋮ Blow-up and regularization rates, loss and recovery of boundary conditions for the superquadratic viscous Hamilton-Jacobi equation ⋮ Unnamed Item ⋮ A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton–Jacobi equations ⋮ Unnamed Item ⋮ Complete classification of gradient blow-up and recovery of boundary condition for the viscous Hamilton-Jacobi equation

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