Exact solutions for nonclassical Stefan problems

DOI10.1155/2010/868059zbMath1205.35038OpenAlexW2082181534WikidataQ58651291 ScholiaQ58651291MaRDI QIDQ606257

Adriana C. Briozzo, Domingo Alberto Tarzia

Publication date: 16 November 2010

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231547

zbMATH Keywords

one space dimensionsolutions of a similarity type

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Solutions to PDEs in closed form (35C05)

Related Items (8)

Explicit solutions for a non-classical heat conduction problem for a semi-infinite strip with a non-uniform heat source ⋮ Determination of unknown thermal coefficients in a non-classical Stefan problem ⋮ A heat conduction problem with sources depending on the average of the heat flux on the boundary ⋮ Non-classical heat conduction problem with nonlocal source ⋮ Global solution to a non-classical heat problem in the semi-space $\mathbb {R}^{+}\times \mathbb {R}^{n-1}$ ⋮ Non-classical Stefan problem with nonlinear thermal coefficients and a Robin boundary condition ⋮ Unnamed Item ⋮ Exact solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms

Cites Work

• A one-phase Stefan problem for a non-classical heat equation with a heat flux condition on the fixed face
• A class of nonlinear non-classical parabolic equations
• An Application of Glicksberg’s Theorem to Set-Valued Integral Equations Arising in the Theory of Thermostats
• One-Dimensional Heat Conduction with a Class of Automatic Heat-Source Controls
• Asymptotic behaviour of a non-classical heat conduction problem for a semi-infinite material
• An inequality for the coefficient 𝜎 of the free boundary 𝑠(𝑡)=2𝜎√𝑡 of the Neumann solution for the two-phase Stefan problem
• A free boundary problem for the heat equation with prescribed flux at both fixed face and melting interface
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