A new proof of the existence of weak solutions to a model for phase evolution driven by material forces |
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| Authors: | Yangxin Tang Wenhua Wang Yu Zhou |
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| Affiliation: | Department of Mathematics, Shanghai University, Shanghai, China |
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| Abstract: | 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  in that work by  . 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. |
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| Keywords: | order parameter nonlinear degenerate parabolic equation existence of weak solutions material forces |
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in that work by 
. 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.