29 citations · 127 across the 36 of their papers we have counts for
36 papers
A convergent interacting particle method for computing KPP front speeds in random flows
Tan Zhang, Zhongjian Wang, Jack Xin +1
We aim to efficiently compute spreading speeds of reaction-diffusion-advection (RDA) fronts in divergence free random flows under the Kolmogorov-Petrovsky-Piskunov (KPP) nonlineari…
An Augmented Subspace Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations
Xiaoying Dai, Miao Hu, Jack Xin +1
In this paper, we propose an augmented subspace based adaptive proper orthogonal decomposition (POD) method for solving the time dependent partial differential equations. By augmen…
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(…
Existence of an effective burning velocity in cellular flow for curvature G-equation via game analysis
Hongwei Gao, Ziang Long, Jack Xin +1
G-equation is a popular level set model in turbulent combustion, and becomes an advective mean curvature type evolution equation when curvature of a moving flame in a fluid flow is…
A DeepParticle method for learning and generating aggregation patterns in multi-dimensional Keller-Segel chemotaxis systems
Zhongjian Wang, Jack Xin, Zhiwen Zhang
We study a regularized interacting particle method for computing aggregation patterns and near singular solutions of a Keller-Segal (KS) chemotaxis system in two and three space di…
Synchronized Front Propagation and Delayed Flame Quenching in Strain G-equation and Time-Periodic Cellular Flows
Yu-Yu Liu, Jack Xin
G-equations are level-set type Hamilton-Jacobi partial differential equations modeling propagation of flame front along a flow velocity and a laminar velocity. In consideration of…