Stationary solutions to the Falk system on shape memory alloys

Takashi Suzuki, Souhei Tasaki

研究成果: Article査読

6 被引用数 (Scopus)

抄録

We study the Falk model system describing martensitic phase transitions in shape memory alloys. Its physically closed stationary state is formulated as a nonlinear eigenvalue problem with a non-local term. Then, some results on existence, stability, and bifurcation of the solution are proven. In particular, we prove the existence of dynamically stable nontrivial stationary solutions.

本文言語English
ページ(範囲)994-1011
ページ数18
ジャーナルMathematical Methods in the Applied Sciences
33
8
DOI
出版ステータスPublished - 2010 5 30

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

フィンガープリント 「Stationary solutions to the Falk system on shape memory alloys」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル