Title:

Global Regular Solutions to a Kelvin-Voigt Type Thermoviscoelastic System

Subtitle:

Raport Badawczy = Research Report ; RB/11/2011

Creator:

Pawłow, Irena ; Zajączkowski, Wojciech

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2011

Description:

52 pages ; 21 cm ; Bibliography p. 51-52

Subject and Keywords:

Existence global ; Istnienie globalne ; Kelvin-voigt type materials ; Sobolev spaces with a mixed norm ; A priori estimates ; Materiały typu kelvina-voigta ; Przestrzenie sobolewa o normie mieszanej ; Szacunki a priori ; Thermoviscoelastic system ; System termowizyjny

Abstract:

In this paper, a classical 3-D thermoviscoelastic system of Kelvin-Voigt type is considered. The existence and uniqueness of a global regular solution is proved without small data assumption. The existence proof is based on the successive approximation method. The crucial part constitute a priori estimates on an arbitrary finite time interval, which are derived with the help of the theory of anisotropic Sobolev spaces with a mixed norm.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2011-11

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