An impedance effect of a thin adhesive layer in some boundary value and transmission problems governed by elliptic differential equations
Автор: Favini A., Labbas R., Lemrabet K.
Рубрика: Математическое моделирование
Статья в выпуске: 4 т.8, 2015 года.
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In this paper we consider a problem of two bodies bonded through a thin adhesive layer (a third material) of thickness δ. Leting δ go to zero, one obtains a boundary value transmission problem set on a fixed domain. We then give new results for the study of this problem in the framework of Hölder spaces: an explicit representation of the solution and necessary and sufficient conditions at the interface for its optimal regularity are obtained using the semigroups theory and the real interpolation spaces.
Boundary value problem of elliptic type, transmission problems, impedance effect, thin layer
Короткий адрес: https://sciup.org/147159345
IDR: 147159345 | DOI: 10.14529/mmp150405
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