Details

Autor(en) / Beteiligte

• Tang, Yangxin
• Wang, Wenhua
• Zhou, Yu

Titel

A new proof of the existence of weak solutions to a model for phase evolution driven by material forces

Ist Teil von

• Mathematical methods in the applied sciences, 2017-09, Vol.40 (13), p.4880-4891

Ort / Verlag

Freiburg: Wiley Subscription Services, Inc

Erscheinungsjahr

2017

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We prove the existence of weak solutions to a one‐dimensional initial‐boundary value problem for a model system of partial differential equations, which consists of a sub‐system of linear elasticity and a nonlinear non‐uniformly parabolic equation of second order. To simplify the existence proof of weak solutions in the 2006 paper of Alber and Zhu, we replace the function |p|κ:=|p|2/|p|2+κ2 in that work by |p|κ:=|p|2+κ2. The model is formulated by using a sharp interface model for phase transformations that are driven by material forces. Copyright © 2017 John Wiley & Sons, Ltd.