Heat distribution in an infinite rod

DOI10.1007/S11006-006-0148-XzbMath1113.35043OpenAlexW2049681213MaRDI QIDQ881110

S. V. Zakharov

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0148-x

zbMATH Keywords

heat equationuniform asymptoticsHermite functionone-dimensional heat equationCauchy problem for the heat equationheat distribution in an infinite rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Heat equation (35K05) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (4)

Asymptotic calculation of the heat distribution in a plane ⋮ THE ASYMPTOTICS OF A SOLUTION OF THE MULTIDIMENSIONAL HEAT EQUATION WITH UNBOUNDED INITIAL DATA ⋮ Two-parameter asymptotics in a bisingular Cauchy problem for a parabolic equation ⋮ The Cauchy problem for a quasilinear parabolic equation with two small parameters

Cites Work

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• Asymptotic behaviour of bounded controls for a singular elliptic problem in a domain with a small cavity
• From weak discontinuity to gradient catastrophe

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