Dimensional Influence on Blow-Up in a Superdiffusive Medium

DOI10.1137/090753280zbMath1203.35051OpenAlexW1977873161MaRDI QIDQ3053175

W. Edward Olmstead, Catherine A. Roberts

Publication date: 4 November 2010

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090753280

zbMATH Keywords

Volterra equationthermal blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Volterra integral equations (45D05) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

Related Items (8)

Blow-up solutions in one-dimensional diffusion models ⋮ On the contributions of W. Edward Olmstead ⋮ Blow up of fractional reaction-diffusion systems with and without convection terms ⋮ Non-existence of global solutions to a system of fractional diffusion equations ⋮ Osgood type condition for the Volterra integral equations with bounded and nonincreasing kernels ⋮ A maximum principle for fractional diffusion differential equations ⋮ A new upper estimation for the blow-up time of solutions of a Volterra integral equation and its application to the modeling of the formation of shear bands ⋮ Thermal blow-up in a finite strip with superdiffusive properties

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