Stability for approximation methods of the one-dimensional Kobayashi-Warren-Carter system

Title:

Stability for approximation methods of the one-dimensional Kobayashi-Warren-Carter system

Creator:

Watanabe, Hiroshi and Shirakawa, Ken

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:9010697e-be1c-47e1-a9f1-233c7b0102d8
uuid:9010697e-be1c-47e1-a9f1-233c7b0102d8
doi:10.21136/MB.2014.143863

Subject:

approximation method, stability, and energy-dissipative solution

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

A one-dimensional version of a gradient system, known as ''Kobayashi-Warren-Carter system'', is considered. In view of the difficulty of the uniqueness, we here set our goal to ensure a ''stability'' which comes out in the approximation approaches to the solutions. Based on this, the Main Theorem concludes that there is an admissible range of approximation differences, and in the scope of this range, any approximation method leads to a uniform type of solutions having a certain common features. Further, this is specified by using the notion of ''energy-dissipative solution'', proposed in a relevant previous work.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

381-389

Source:

Mathematica bohemica | 2014 Volume:139 | Number:2

Harvested from:

CDK

Metadata only:

false