Bifurcation of homogenization and nonhomogenization of the curvature G-equation with shear flows
DOI10.1007/s00208-024-02983-wMaRDI QIDQ6670398
Hiroyoshi Mitake, Yifeng Yu, Jack Xin, Hung Vinh Tran, Connor Mooney
Publication date: 23 January 2025
Published in: Mathematische Annalen (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Bifurcations in context of PDEs (35B32) Viscosity solutions to PDEs (35D40) Quasilinear parabolic equations with mean curvature operator (35K93) Flows related to mean curvature (53E10)
Cites Work
- Title not available (Why is that?)
- Periodic homogenization of the inviscid G-equation for incompressible flows
- Homogenization and enhancement for the \(G\)-equation
- A discussion about the homogenization of moving interfaces
- Curvature and the evolution of fronts
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Equations of mean curvature type in 2 independent variables
- On a theorem of de Giorgi and Stampacchia
- Singular perturbations of nonlinear degenerate parabolic pDEs: A general convergence result
- Curvature effect in shear flow: slowdown of turbulent flame speeds with Markstein number
- Effective motion of a curvature-sensitive interface through a heterogeneous medium
- Head and tail speeds of mean curvature flow with forcing
- Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton-Jacobi models
- Counter-example in three dimension and homogenization of geometric motions in two dimension
- Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications
- On asymptotic speed of solutions to level-set mean curvature flow equations with driving and source terms
- Long-Time Behavior of the Mean Curvature Flow with Periodic Forcing
- Pulsating wave for mean curvature flow in inhomogeneous medium
- User’s guide to viscosity solutions of second order partial differential equations
- Turbulent Combustion
- The perturbed test function method for viscosity solutions of nonlinear PDE
- Stretch, Twist, Fold: The Fast Dynamo
- Existence of asymptotic speed of solutions to birth and spread type nonlinear partial differential equations
- A deterministic‐control‐based approach motion by curvature
- A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting
- Existence of an effective burning velocity in a cellular flow for the curvature \(G\)-equation proved using a game analysis
This page was built for publication: Bifurcation of homogenization and nonhomogenization of the curvature G-equation with shear flows
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6670398)
