Local well-posedness is established for a fully coupled system of an ODE for the growth tensor, a quasi-static hyperelastic equilibrium, and a nutrient reaction-diffusion equation via fixed-point methods.
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions
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Local Well-Posedness of a Model for Stress-Driven Growth in the Presence of Nutrients
Local well-posedness is established for a fully coupled system of an ODE for the growth tensor, a quasi-static hyperelastic equilibrium, and a nutrient reaction-diffusion equation via fixed-point methods.