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

DOI10.1007/s10659-015-9545-2zbMath1382.35296arXiv1503.01728OpenAlexW2963722774MaRDI QIDQ5963150

Marta Lewicka, Piotr Bogusław Mucha

Publication date: 4 March 2016

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.01728

zbMATH Keywords

morphogenesisresidual stressevolutionary growthstress-assisted diffusion systems

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear elasticity (74B20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Liquid crystals (76A15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (6)

The mathematics of thin structures ⋮ A pseudostress-based mixed-primal finite element method for stress-assisted diffusion problems in Banach spaces ⋮ Geometry, analysis, and morphogenesis: Problems and prospects ⋮ Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems ⋮ Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems ⋮ A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems

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