Initial‐to‐Interface Maps for the Heat Equation on Composite Domains | Zendy

Sheils Natalie E. | Zendy; Deconinck Bernard | Zendy

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Initial‐to‐Interface Maps for the Heat Equation on Composite Domains

Author(s) -

Sheils Natalie E.,

Deconinck Bernard

Publication year - 2016

Publication title -

studies in applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.164

H-Index - 46

eISSN - 1467-9590

pISSN - 0022-2526

DOI - 10.1111/sapm.12138

Subject(s) - interface (matter) , boundary value problem , heat equation , mathematical analysis , function (biology) , mathematics , initial value problem , derivative (finance) , geometry , physics , mechanics , bubble , maximum bubble pressure method , evolutionary biology , financial economics , economics , biology

A map from the initial conditions to the function and its first spatial derivative evaluated at the interface is constructed for the heat equation on finite and infinite domains with n interfaces. The existence of this map allows changing the problem at hand from an interface problem to a boundary value problem which allows for an alternative to the approach of finding a closed‐form solution to the interface problem.

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