A Local Uniqueness Result for a Quasi-linear Heat Transmission Problem in a Periodic Two-phase Dilute Composite
| Autor: | Paolo Musolino, Massimo Lanza de Cristoforis, Matteo Dalla Riva |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Euclidean space
Composite number Mathematical analysis Structure (category theory) existence quasi-linear heat transmission problem Distribution (mathematics) Settore MAT/05 - Analisi Matematica Heat transmission Phase (matter) local uniqueness Thermal periodic two-phase dilute composite Uniqueness asymptotic behavior quasi-linear heat transmission problem singularly perturbed domain periodic two-phase dilute composite local uniqueness existence asymptotic behavior singularly perturbed domain Mathematics |
| Zdroj: | Recent Trends in Operator Theory and Partial Differential Equations ISBN: 9783319470771 |
| Popis: | We consider a quasi-linear heat transmission problem for a composite material which fills the n-dimensional Euclidean space. The composite has a periodic structure and consists of two materials. In each periodicity cell one material occupies a cavity of size ϵ, and the second material fills the remaining part of the cell. We assume that the thermal conductivities of the materials depend nonlinearly upon the temperature. For ϵ small enough the problem is known to have a solution, i.e., a pair of functions which determine the temperature distribution in the two materials. Then we prove a limiting property and a local uniqueness result for families of solutions which converge as ϵ tends to 0. |
| Databáze: | OpenAIRE |
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