| Publication | Date of Publication | Type |
|---|
| Existence of an effective burning velocity in a cellular flow for the curvature \(G\)-equation proved using a game analysis | 2024-01-29 | Paper |
| Effective Fronts of Polygon Shapes in Two Dimensions | 2023-11-10 | Paper |
| Bifurcation of homogenization and nonhomogenization of the curvature G-equation with shear flows | 2023-03-28 | Paper |
| High degeneracy of effective Hamiltonian in two dimensions | 2023-03-17 | Paper |
| Differentiability of effective fronts in the continuous setting in two dimensions | 2022-03-25 | Paper |
| Optimal convergence rate for periodic homogenization of convex Hamilton-Jacobi equations | 2021-12-13 | Paper |
| Remarks on optimal rates of convergence in periodic homogenization of linear elliptic equations in non-divergence form | 2021-01-15 | Paper |
| Effective fronts of polytope shapes | 2020-11-09 | Paper |
| High Degeneracy of Effective Hamiltonian in Two Dimensions | 2020-08-08 | Paper |
| Rate of convergence in periodic homogenization of Hamilton-Jacobi equations: the convex setting | 2019-06-03 | Paper |
| Residual diffusivity in elephant random walk models with stops | 2019-03-12 | Paper |
| Min-max formulas and other properties of certain classes of nonconvex effective Hamiltonians | 2018-09-26 | Paper |
| A rigidity result for effective Hamiltonians with 3-mode periodic potentials | 2018-08-01 | Paper |
| Curvature effect in shear flow: slowdown of turbulent flame speeds with Markstein number | 2018-05-16 | Paper |
| Computing Residual Diffusivity by Adaptive Basis Learning via Spectral Method | 2018-01-29 | Paper |
| Inverse problems, non-roundness and flat pieces of the effective burning velocity from an inviscid quadratic Hamilton–Jacobi model | 2017-06-20 | Paper |
| Periodic Orbits of the ABC Flow with A=B=C=1 | 2016-12-21 | Paper |
| Ballistic Orbits and Front Speed Enhancement for ABC Flows | 2016-10-14 | Paper |
| Some inverse problems in periodic homogenization of Hamilton-Jacobi equations | 2016-07-26 | Paper |
| Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension | 2016-06-09 | Paper |
| Inverse problems, non-roundness and flat pieces of the effective burning velocity from an inviscid quadratic Hamilton-Jacobi model | 2016-02-15 | Paper |
| Asymptotic solution and effective Hamiltonian of a Hamilton-Jacobi equation in the modeling of traffic flow on a homogeneous signalized road | 2015-10-19 | Paper |
| Stochastic homogenization of a nonconvex Hamilton-Jacobi equation | 2015-10-14 | Paper |
| Performance analysis and signal design for a stationary signalized ring road | 2015-10-05 | Paper |
| Asymptotic Growth Rates and Strong Bending of Turbulent Flame Speeds of G-Equation in Steady Two-Dimensional Incompressible Periodic Flows | 2014-11-04 | Paper |
| Front quenching in the G-equation model induced by straining of cellular flow | 2014-09-19 | Paper |
| Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton-Jacobi models | 2014-04-16 | Paper |
| Nonuniqueness of infinity ground states | 2013-11-05 | Paper |
| Turbulent Flame Speeds of G-equation Models in Unsteady Cellular Flows | 2013-08-22 | Paper |
| \(C^1\)-boundary regularity of planar infinity harmonic functions | 2013-05-24 | Paper |
| A numerical study of turbulent flame speeds of curvature and strain G-equations in cellular flows | 2013-02-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3144578 | 2012-12-08 | Paper |
| Asymptotics for turbulent flame speeds of the viscous \(G\)-equation enhanced by cellular and shear flows | 2012-11-05 | Paper |
| A New Approximation for Effective Hamiltonians for Homogenization of a class of Hamilton–Jacobi Equations | 2011-11-17 | Paper |
| Analysis and Comparison of Large Time Front Speeds in Turbulent Combustion Models | 2011-05-27 | Paper |
| Periodic homogenization of the inviscid G-equation for incompressible flows | 2011-01-31 | Paper |
| Bounds on front speeds for inviscid and viscous \(G\)-equations | 2011-01-13 | Paper |
| Homogenization of generalized characteristics associated to solutions of Hamilton–Jacobi equations | 2011-01-03 | Paper |
| Mather measures selected by an approximation scheme | 2010-10-29 | Paper |
| Periodic homogenization of G-equations and viscosity effects | 2010-10-21 | Paper |
| Maximal and minimal solutions of an Aronsson equation: \(L^{\infty }\) variational problems versus the game theory | 2010-02-23 | Paper |
| Aronsson's equations on Carnot-Carathéodory spaces | 2009-10-15 | Paper |
| Singular dynamics for semiconcave functions | 2009-09-29 | Paper |
| Uniqueness of values of Aronsson operators and running costs in ``tug-of-war games | 2009-08-05 | Paper |
| Derivation of the Aronsson equation for $C^1$ Hamiltonians | 2009-02-05 | Paper |
| \(C^1\)-regularity of the Aronsson equation in \(\mathbb{R}^2\) | 2008-08-06 | Paper |
| Asymptotic Behavior of Infinity Harmonic Functions Near an Isolated Singularity | 2008-07-30 | Paper |
| Singular Set of a Convex Potential in Two Dimensions | 2008-01-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5426851 | 2007-11-13 | Paper |
| L∞ variational problems and weak KAM theory | 2007-07-18 | Paper |
| Some properties of the ground states of the infinity Laplacian | 2007-06-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3431797 | 2007-04-12 | Paper |
| A remark on the semi-classical measure from -ℎ²\over2Δ+𝑉 with a degenerate potential 𝑉 | 2007-03-07 | Paper |
| Generalized Cone Comparison Principle for Viscosity Solutions of the Aronsson Equation and Absolute Minimizers | 2006-10-11 | Paper |
| \(L^\infty\) variational problems and Aronsson equations | 2006-09-26 | Paper |
| Various Properties of Solutions of the Infinity-Laplacian Equation | 2005-11-25 | Paper |
| Tangent lines of contact for the infinity Laplacian | 2005-02-21 | Paper |
