Subtitle:

Raport Badawczy = Research Report ; RB/13/2011

Publisher:

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

Place of publishing:

Warszawa

Description:

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

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

Detailed Resource Type:

Report

Resource Identifier:

oai:rcin.org.pl:197695

Source:

RB-2011-13

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

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: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

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.

Access:

Open