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On a Class of Cahn-Hilliard Models with Nonlinear Diffusion
Subtitle:Raport Badawczy = Research Report ; RB/13/2011
Creator:Pawłow, Irena ; Schimperna, Giulio
Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:26 stron ; 21 cm ; Bibliografia s. 24-25
Subject and Keywords:Równanie cahna-hilliarda ; Cahn-hilliard equation ; Nonlinear diffusion ; Variational formulation ; Existence theorem ; Dyfuzja nieliniowa ; Sformułowanie wariacyjne ; Twierdzenie o istnieniu
Abstract:The paper addresses a class of Cahn-Hilliard equations characterized by a nonlinear diffusive dynamics and possibly containing an additional sixth order term. The existence of a weak solution to the sixth-order model in the case when the configuration potential of the system is of singular type, is discussesed. Then, the behavior of the solutions in the case when the sixth order term is let tend to 0 was investigated, proving convergence to solutions of the fourth order system in a special case, is studied. The fourth order system was examined by a direct approach and existence of a weak solution is shown under very general conditions by means of a fixed point argument.
Relation:Raport Badawczy = Research Report
Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Licencja Creative Commons Uznanie autorstwa 4.0
Terms of use:Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -
Digitizing institution:Instytut Badań Systemowych Polskiej Akademii Nauk
Original in:Biblioteka Instytutu Badań Systemowych PAN
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