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Stress‐modulated growth in the presence of nutrients—Existence and uniqueness in one spatial dimension

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Bangert, Kira ; Dolzmann, Georg
Date of publication of this fulltext: 23 May 2023 05:22

This publication is part of the DEAL contract with Wiley.


Existence and uniqueness of solutions for a class of models for stress-modulated growth is proven in one spatial dimension. The model features the multiplicative decomposition of the deformation gradient F into an elastic part and a growth-related part G. After the transformation due to the growth process, governed by G, an elastic deformation described by is applied in order to restore the ...


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