Continuum limit for some growth models.

DOI10.1016/S0304-4149(02)00100-XzbMath1075.82011MaRDI QIDQ2574499

Fraydoun Rezakhanlou

Publication date: 29 November 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

continuum limitHamilton-Jacobi equationgrowth models

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21)

Related Items (10)

Continuum limit for some growth models. II. ⋮ Stochastic six-vertex model ⋮ Blockage hydrodynamics of one-dimensional driven conservative systems. ⋮ A direct verification argument for the Hamilton-Jacobi equation continuum limit of nondominated sorting ⋮ Hydrodynamics in a condensation regime: the disordered asymmetric zero-range process ⋮ Second-order fluctuations and current across characteristic for a one-dimensional growth model of independent random walks ⋮ Last passage percolation in an exponential environment with discontinuous rates ⋮ Hydrodynamic limit of a \((2+1)\)-dimensional crystal growth model in the anisotropic KPZ class ⋮ Directed last passage percolation with discontinuous weights ⋮ Hydrodynamic limit for a 2D interlaced particle process

Cites Work

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• Hopf-Lax-type formula for \(u_ t+ H(u, Du)=0\)
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Viscosity Solutions of Hamilton-Jacobi Equations
• Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
• Convex analysis and global optimization

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