Local stationary heat fields in fibrous composites

• Autorzy: Baran, Wojciech , Kurnik, Krystian , Nawalaniec, Wojciech , Shareif, Albashir
• Języki publikacji: EN

Abstrakty

EN

Consider a multiply connected domain D bounded by nonoverlapping circles. Introduce the complex potential u(z) = Re ϕ(z) in D where the function ϕ(z) is analytic in D except at infinity where ϕ(z) ∼ z. The function u(z) models the distribution of temperature in the domain D. The unknown function ϕ(z) is continuously differentiable in the closures of the considered domain. We solve approximately the modified Schwarz problem when u(z) = Re ϕ(z) is equal to an undetermined constant on every boundary component of D by a method of functional equations.

Słowa kluczowe

EN

complex potential; fibrous composite; heat flux; Schwarz problem; functional equation

• Czasopismo: Silesian Journal of Pure and Applied Mathematics
• Rocznik: 2019
• Tom: vol. 9, iss. 1
• Strony: 1--8
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Baran, Wojciech

• Institute of Computer Science, Pedagogical University in Cracow, Poland,

autor

Kurnik, Krystian

• Institute of Computer Science, Pedagogical University in Cracow, Poland,

autor

Nawalaniec, Wojciech

• Institute of Mathematics, Pedagogical University in Cracow, Poland,

autor

Shareif, Albashir

• Institute of Mathematics, Pedagogical University in Cracow, Poland

Bibliografia

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