Subtitle:

Raport Badawczy = Research Report ; RB/9/2012

Publisher:

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

Place of publishing:

Warszawa

Description:

24 pages ; 21 cm ; Bibliography p. 24

Abstract:

The paper considers the sixth order Cahn-Hilliard type equation with a nonlinear diffusion. Applying the approach based on the Backlund transfor­mation and the Leray-Schauder fixed point theorem, the existence result was generalized by imposing weaker assumptions on the data. Here the global unique solvability of the problem in the Sobolev space H6,1(Ω x (0,T)) is proved, assuming that the initial data is in H3 (Ω), whereas previously H6 (Ω) -regularity was required. Moreover, a broarder class of nonlinear terms in the free energy potential is admited.

Relation:

Raport Badawczy = Research Report

Detailed Resource Type:

Report

Resource Identifier:

oai:rcin.org.pl:197696

Source:

RB-2012-09

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