On a Differential Model for Growing Sandpiles with Non-Regular Sources

DOI10.1080/03605300902909966zbMath1190.35131OpenAlexW2113075068MaRDI QIDQ3643209

Piermarco Cannarsa, Carlo Sinestrari, Pierre Cardaliaguet

Publication date: 10 November 2009

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2108/55258

zbMATH Keywords

uniqueness of solutionsdistance functionasymptotic profilegranular matterBCRE models

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Asymptotic behavior of solutions to PDEs (35B40) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Integral representations of solutions to PDEs (35C15) A priori estimates in context of PDEs (35B45)

Related Items (11)

Godunov-type numerical methods for a model of granular flow ⋮ A nonhomogeneous boundary value problem in mass transfer theory ⋮ Evolution Monge-Kantorovich equation ⋮ A new symmetry criterion based on the distance function and applications to PDE's ⋮ Modeling sand slides by a mechanics-based degenerate parabolic equation ⋮ On the minimizing movement with the 1-Wasserstein distance ⋮ Variational and Quasi-Variational Inequalities with Gradient Type Constraints ⋮ A Differential Model for Growing Sandpiles on Networks ⋮ Degenerate parabolic models for sand slides ⋮ Quasivariational solutions for first-order quasilinear equations with gradient constraint ⋮ Existence and uniqueness of solutions for a boundary value problem arising from granular matter theory

Cites Work

• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• An existence result for the sandpile problem on flat tables with walls
• Variational evolution problems and nonlocal geometric motion
• Fast/slow diffusion and collapsing sandpiles,
• Analysis and control of nonlinear infinite dimensional systems
• Fast/slow diffusion and growing sandpiles
• A sharp uniqueness result for a class of variational problems solved by a distance function
• A boundary value problem for a PDE model in mass transfer theory: representation of solutions and applications
• The distance function from the boundary in a Minkowski space
• INTEGRAL ESTIMATES FOR TRANSPORT DENSITIES
• Unnamed Item
• Unnamed Item

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