On a dual formulation for the growing sandpile problem

DOI10.1017/S0956792508007754zbMath1158.74012OpenAlexW1984865530MaRDI QIDQ3616228

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Publication date: 24 March 2009

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792508007754

zbMATH Keywords

Monge-Kantorovich problemimplicit Euler discretizationPrigozhin model

Mathematics Subject Classification ID

Related Items (12)

On a dual formulation for growing sandpile problem with mixed boundary conditions ⋮ On a mathematical model for traveling sand dune ⋮ Evolution Monge-Kantorovich equation ⋮ Discrete collapsing sandpile model ⋮ On the minimizing movement with the 1-Wasserstein distance ⋮ Optimal simulation of sandcastle life in dynamic environment based on stability principle ⋮ Variational and Quasi-Variational Inequalities with Gradient Type Constraints ⋮ Sub-gradient diffusion operator ⋮ Summability estimates on transport densities with Dirichlet regions on the boundaryviasymmetrization techniques ⋮ A generalized collapsing sandpile model ⋮ Optimal Transportation with Boundary Costs and Summability Estimates on the Transport Density ⋮ Equivalent formulations for Monge-Kantorovich equation

Cites Work

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• A stochastic model for growing sandpiles and its continuum limit
• Regularity properties for Monge transport density and for solutions of some shape optimization problem
• Fast/slow diffusion and growing sandpiles
• Energies with respect to a measure and applications to low dimensional structures
• INTEGRAL ESTIMATES FOR TRANSPORT DENSITIES
• A Mixed Formulation of the Monge-Kantorovich Equations
• Sharp summability for Monge Transport densityviaInterpolation
• Characterization of optimal shapes and masses through Monge-Kantorovich equation

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