The homogenization of surfaces and boundaries

DOI10.1007/S00574-013-0033-7zbMath1296.35030OpenAlexW2062207878MaRDI QIDQ2015843

Luis A. Caffarelli

Publication date: 24 June 2014

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-013-0033-7

zbMATH Keywords

homogenizationfree boundaries

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (2)

On the random G equation with nonzero divergence ⋮ Existence of an effective burning velocity in a cellular flow for the curvature \(G\)-equation proved using a game analysis

Cites Work

• Unnamed Item
• Unnamed Item
• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• Homogenization and enhancement for the \(G\)-equation
• Curve shortening flow in heterogeneous media
• Motion of level sets by mean curvature. I
• Capillary drops: contact angle hysteresis and sticking drops
• A discussion about the homogenization of moving interfaces
• Traveling waves of a curvature flow in almost periodic media
• Minimal solutions of variational problems on a torus
• On minimal laminations of the torus
• On the Aubry-Mather theory in statistical mechanics
• Minimal measures and minimizing closed normal one-currents
• Interfaces of ground states in Ising models with periodic coefficients
• Effective motion of a curvature-sensitive interface through a heterogeneous medium
• Singular limit and homogenization for flame propagation in periodic excitable media
• Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem
• Some homogenization results for non-coercive Hamilton-Jacobi equations
• Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications
• Long-Time Behavior of the Mean Curvature Flow with Periodic Forcing
• Homogenization and Enhancement of theG-Equation in Random Environments
• Periodic homogenization of G-equations and viscosity effects
• Homogenization of Fronts in Highly Heterogeneous Media
• On the ability of drops or bubbles to stick to non-horizontal surfaces of solids
• FLAME PROPAGATION IN ONE-DIMENSIONAL STATIONARY ERGODIC MEDIA
• Pulsating wave for mean curvature flow in inhomogeneous medium
• A quantitative isoperimetric inequality in n-dimensional space.
• The wetting of a plane surface by a fluid
• On contact angles in evaporating liquids
• Front Propagation and Phase Field Theory
• Planelike minimizers in periodic media
• Front propagation in periodic excitable media
• Homogenization and flame propagation in periodic excitable media: The asymptotic speed of propagation
• Geodesics on a two-dimensional Riemannian manifold with periodic coefficients

This page was built for publication: The homogenization of surfaces and boundaries