A local and global well-posedness results for the general stress-assisted diffusion systems

2015/03/05 by Lewicka, Marta, Mucha, Piotr B.
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1503.01728

Abstract

We prove the local and global in time existence of the classical solutions to two general classes of the stress-assisted diffusion systems. Our results are applicable in the context of the non-Euclidean elasticity and liquid crystal elastomers.

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