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Analyzing public awareness and acceptance of alternative fuel vehicles in China: The case of EV
The aim of this paper is to analyze consumers' awareness towards electric vehicle (EV) and examine the factors that are most likely to affect consumers' choice for EV in China. A comprehensiveExpand
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Singular Dynamics for Semiconcave Functions
Semiconcave functions are a well-known class of nonsmooth functions that possess deep connections with optimization theory and nonlinear pde’s. Their singular sets exhibit interesting structuresExpand
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C1-regularity of the Aronsson equation in R2
Abstract For a nonnegative, uniformly convex H ∈ C 2 ( R 2 ) with H ( 0 ) = 0 , if u ∈ C ( Ω ) , Ω ⊂ R 2 , is a viscosity solution of the Aronsson equation (1.7), then u ∈ C 1 ( Ω ) . ThisExpand
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C 1 boundary regularity of planar infinity harmonic functions
We prove that if Ω ⊂ R is a bounded domain with C-boundary and g ∈ C(R), then any viscosity solution u ∈ C(Ω) of the infinity Laplacian equation (1.1) is C(Ω). The interior C and C-regularity of u inExpand
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Stochastic homogenization of a nonconvex Hamilton–Jacobi equation
We present a proof of qualitative stochastic homogenization for a nonconvex Hamilton–Jacobi equations. The new idea is to introduce a family of “sub-equations” and to control solutions of theExpand
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Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton–Jacobi models
Abstract We study the large time asymptotic speeds (turbulent flame speeds s T ) of the simplified Hamilton–Jacobi (HJ) models arising in turbulent combustion. One HJ model is G-equation describingExpand
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Various Properties of Solutions of the Infinity-Laplacian Equation
ABSTRACT We collect a number of technical assertions and related counterexamples about viscosity solutions of the infinity-Laplacian PDE − Δ∞ u = 0 for .
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Periodic homogenization of the inviscid G-equation for incompressible flows
G-equations are popular front propagation models in combustion literature and describe the front motion law of normal velocity equal to a constant plus the normal projection of fluid velocity.Expand
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Nonuniqueness of infinity ground states
In this paper, we construct a dumbbell domain for which the associated principal ∞-eigenvalue is not simple. This gives a negative answer to the outstanding problem posed in Juutinen et al. (ArchExpand
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Rate of Convergence in Periodic Homogenization of Hamilton–Jacobi Equations: The Convex Setting
AbstractWe study the rate of convergence of $${u^\varepsilon}$$uε, as $${\varepsilon \to 0+}$$ε→0+, to u in periodic homogenization of Hamilton–Jacobi equations. Here, $${u^\varepsilon}$$uε and u areExpand
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