Multiscale Modeling and Analysis of Growth of Plant Tissues
From MaRDI portal
Publication:6139395
DOI10.1137/23m1553315zbMath1529.35020arXiv2302.08449OpenAlexW4389099598MaRDI QIDQ6139395
Annamária Kiss, Mariya Ptashnyk, Arezki Boudaoud
Publication date: 18 December 2023
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.08449
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Plant biology (92C80)
Cites Work
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- A model of crosslink kinetics in the expanding plant cell wall: yield stress and enzyme action
- Linear functional analysis. An application-oriented introduction. Translated from the 6th German edition by Robert Nürnberg
- The mathematics and mechanics of biological growth
- The impact of microfibril orientations on the biomechanics of plant cell walls and tissues
- Boundary estimates in elliptic homogenization
- A finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth
- Diffusion, convection, adsorption, and reaction of chemicals in porous media
- Compact sets in the space \(L^ p(0,T;B)\)
- Non-homogeneous media and vibration theory
- \textit{In silico} leaf venation networks: growth and reorganization driven by mechanical forces
- Regulation of plant cell wall stiffness by mechanical stress: a mesoscale physical model
- Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity
- Global boundedness of the gradient for a class of nonlinear elliptic systems
- The Periodic Unfolding Method in Domains with Holes
- A fibre-reinforced fluid model of anisotropic plant cell growth
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Direct Methods in the Theory of Elliptic Equations
- Homogenization and Two-Scale Convergence
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- On Korn's first inequality with non-constant coefficients
- New development in freefem++
- The Periodic Unfolding Method in Homogenization
- Homogenization of elliptic systems with Neumann boundary conditions
- Local existence and uniqueness for quasistatic finite plasticity with grain boundary relaxation
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- Shape optimization by the homogenization method