Tytuł:

On a Class of Cahn-Hilliard Models with Nonlinear Diffusion

Inny tytuł:

Raport Badawczy = Research Report ; RB/13/2011

Twórca:

Pawłow, Irena ; Schimperna, Giulio

Wydawca:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Miejsce wydania:

Warszawa

Data wydania/powstania:

2011

Opis:

26 pages ; 21 cm ; Bibliography p. 24-25

Temat i słowa kluczowe:

Równanie cahna-hilliarda ; Cahn-hilliard equation ; Nonlinear diffusion ; Variational formulation ; Existence theorem ; Dyfuzja nieliniowa ; Sformułowanie wariacyjne ; Twierdzenie o istnieniu

Abstrakt:

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.

Czasopismo/Seria/cykl:

Raport Badawczy = Research Report

Typ zasobu:

Text

Szczegółowy typ zasobu:

Report

Źródło:

RB-2011-13

Język:

eng

Język streszczenia:

eng

Prawa:

Creative Commons Attribution BY 4.0 license

Zasady wykorzystania:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitalizacja:

Systems Research Institute of the Polish Academy of Sciences

Lokalizacja oryginału:

Library of Systems Research Institute PAS

Dofinansowane ze środków:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Dostęp:

Open