48 citations · 347 across the 57 of their papers we have counts for
54 papers · 1 filter
Unbounded variation solutions for uniformly elliptic equations in nondivergence form in dimension three
Nam Q. Le, Qi Sun, Hung V. Tran
For each nonnegative integer , we construct smooth symmetric coefficient matrices satisfying the fixed ellipticity bound \[ I\leq A_m\leq 2^{81}I \] for which…
Nonexistence of vanishing-viscosity limits for mechanical Hamiltonian ergodic problems
Ziran Liu, Hung V. Tran, Yifeng Yu
For , let be the solution of the ergodic problem \[ \frac12 |Dϕ^\varepsilon|^2+F(x)-\varepsilonΔϕ^\varepsilon=c(\varepsilon) \qquad \text{on } \mathb…
Nondivergence form degenerate linear parabolic equations on the upper half space
Hongjie Dong, Tuoc Phan, Hung Vinh Tran
We study a class of nondivergence form second-order degenerate linear parabolic equations in with the homogeneous Dirichlet boundary condition…
Bifurcation of homogenization and nonhomogenization of the curvature G-equation with shear flows
Hiroyoshi Mitake, Connor Mooney, Hung V. Tran +2
The level-set curvature G-equation, a well-known model in turbulent combustion, has the following form $G_t + \left(1-d\, \mathrm{dvi}\left({\frac{DG}{|DG|}}\right)\right)_+|DG|+V(…
Differentiability of effective fronts in the continuous setting in two dimensions
Hung V. Tran, Yifeng Yu
We study the effective front associated with first-order front propagations in two dimensions () in the periodic setting with continuous coefficients. Our main result says tha…
Local mass-conserving solution for a critical Coagulation-Fragmentation equation
Hung V. Tran, Truong-Son Van
The critical coagulation-fragmentation equation with multiplicative coagulation and constant fragmentation kernels is known to not have global mass-conserving solutions when the in…