Dynamical interface transition in ramified media with diffusion
- 1 January 1996
- journal article
- research article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 21 (1-2) , 255-279
- https://doi.org/10.1080/03605309608821184
Abstract
We consider interaction problems in ramified spaces of a rather general type with a distinguished interface transition in form of a dynamical Kirchhoff condition. These conditions stem from applications and modeling in biology and physics, see for instance [8,21]. In the present paper our principal concern is to derive existence results in the linear and semilinear case and some qualitative principles similar to the classical ones for initial boundary value problems on domains. Moreover, the influence of the dynamical interface condition on the solution is studied in the autonomous reaction-diffusin case.Keywords
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