Root growth: homogenization in domains with time dependent partial perforations

Root growth: homogenization in domains with time dependent partial perforations

In this article we derive a macroscopic model for the time evolution of root density, starting from a discrete mesh of roots, using homogenization techniques. In the microscopic model each root grows vertically according to an ordinary differential equation. The roots growth rates depend on the spat...

Fuld beskrivelse

Bibliografiske detaljer
Main Authors:	Capdeboscq, Y, Ptashnyk, M
Format:	Journal article
Sprog:	English
Udgivet:	EDP Sciences 2012

Lignende værker

Homogenization for advection-diffusion in a perforated domain
af: Haynes, P, et al.
Udgivet: (2010)

Homogenization of a diffusion equation with drift
af: Capdeboscq, Y
Udgivet: (1998)

Homogenization of linearized elasticity systems with traction condition in perforated domains
af: Mohamed El Hajji
Udgivet: (1999-10-01)

Homogenization of a neutronic multigroup evolution model
af: Capdeboscq, Y
Udgivet: (2000)

Homogenization of a neutronic critical diffusion problem with drift
af: Capdeboscq, Y
Udgivet: (2002)

Expansion formulae for the homogenized determinant of anisotropic checkerboards
af: Capdeboscq, Y, et al.
Udgivet: (2006)

Homogenization and localization with an interface
af: Allaire, G, et al.
Udgivet: (2003)

DG-GMsFEM for Problems in Perforated Domains with Non-Homogeneous Boundary Conditions
af: Valentin Alekseev, et al.
Udgivet: (2021-06-01)

Homogenization of a spectral problem in neutronic multigroup diffusion
af: Allaire, G, et al.
Udgivet: (2000)

Interior Regularity Estimates in High Conductivity Homogenization and Application
af: Briane, M, et al.
Udgivet: (2011)

Interior Regularity Estimates in High Conductivity Homogenization and Application
af: Briane, M, et al.
Udgivet: (2013)

Finite element approximation of elliptic homogenization problems in nondivergence-form
af: Capdeboscq, Y, et al.
Udgivet: (2020)

Homogenization of periodic systems with large potentials
af: Capdeboscq, Y, et al.
Udgivet: (2004)

Homogenization and localization for a 1-D eigenvalue problem in a periodic medium with an interface
af: Allaire, G, et al.
Udgivet: (2002)

Existence of a sequence satisfying Cioranescu-Murat conditions in homogenization of Dirichlet problems in perforated domains
af: J. CASADO-DÍAZ
Udgivet: (1996-06-01)

Homogenization of variational inequalities of Signorini type for the p-Laplacian in perforated domains when p ∈ (1, 2)
af: Díaz, JI, et al.
Udgivet: (2017)

Two-Scale Homogenization of Piezoelectric Perforated Structures
af: Houari Mechkour
Udgivet: (2022-04-01)

Time-dependent domains for nonlinear evolution operators and partial differential equations
af: Chin-Yuan Lin
Udgivet: (2011-07-01)

Homogenization of a one-dimensional spectral problem for a singularly perturbed elliptic operator with Neumann boundary conditions
af: Allaire, G, et al.
Udgivet: (2012)

Improved bounds on the polarization tensor for thick domains
af: Capdeboscq, Y, et al.
Udgivet: (2006)

Managing Large Perforated Internal Root Resorption With Partial Pulpectomy: A Case Report
af: Saeed Asgary
Udgivet: (2025-01-01)

Homogeneous bounded domains and siegel domains/
af: 407052 Kaneyuki, Soji
Udgivet: (1971)

Homogenization of a pseudo-parabolic system via a spatial-temporal decoupling: Upscaling and corrector estimates for perforated domains
af: Arthur. J. Vromans, et al.
Udgivet: (2019-07-01)

Homogenization in elastodynamics with force term depending on time
af: Ping Wang
Udgivet: (2000-01-01)

Homogenization of partial differential equations /
af: 398549 Marchenko, V. A. (Vladimir Aleksandrovich), 1922-, et al.
Udgivet: (2006)

On the exit time and stochastic homogenization of isotropic diffusions in large domains
af: Fehrman, B
Udgivet: (2019)

Persymmetric Adaptive Detectors of Subspace Signals in Homogeneous and Partially Homogeneous Clutter
af: Ding Hao, et al.
Udgivet: (2015-08-01)

Particle-based model shows complex rearrangement of tissue mechanical properties are needed for roots to grow in hard soil.
af: Matthias Mimault, et al.
Udgivet: (2023-03-01)

Time-domain characterization of the acoustic damping of a perforated liner with bias flow
af: Zhong, Zhiyuan, et al.
Udgivet: (2014)

Deterministic homogenization of parabolic monotone operators with time dependent coefficients
af: Gabriel Nguetseng, et al.
Udgivet: (2004-06-01)

Existence and smoothing effects of the initial-boundary value problem for \partial u/\partial t-\Delta\sigma(u)=0 in time-dependent domains
af: Mitsuhiro Nakao
Udgivet: (2023-06-01)

Partially-Perforated Self-Reinforced Polyurea Foams
af: Sophia Do, et al.
Udgivet: (2020-08-01)

Homogenized model for flow in partially fractured media
af: Catherine Choquet
Udgivet: (2009-01-01)

Problem for hyperbolic system of equations having constant coefficients with integral conditions with respect to the time variable
af: A.M. Kuz, et al.
Udgivet: (2014-12-01)

The Meyers Estimates for Domains Perforated along the Boundary
af: Gregory A. Chechkin
Udgivet: (2021-11-01)

Convergence of some energies for the Dirichlet problem in perforated domains
af: M. Rajesh
Udgivet: (2001-01-01)

Time-dependent non-homogeneous stochastic epidemic model of SIR type
af: Mireia Besalú, et al.
Udgivet: (2023-07-01)

Irregular Homogeneity Domains in Ternary Intermetallic Systems
af: Jean-Marc Joubert, et al.
Udgivet: (2015-12-01)

"Unstabile" feste Wortverbindungen: Zur Dynamik des phraseologischen Sprachbestandes
af: Stefaniya Ptashnyk
Udgivet: (2005-03-01)

Solution of the non-homogenous parabolic partial differential equation /
af: 492633 Choy, Yaan Yee, et al.
Udgivet: (2009)