5 papers
Uncovering bistability phenomena in two-layer Couette flow experiments using nonlocal evolution equations
Xingyu Wang, Pierre Germain, Demetrios T. Papageorgiou
This paper investigates the stability of interfacial long waves in two-layer plane Couette flow using a nonlinear, nonlocal asymptotic model derived from the Navier-Stokes equation…
The sharp-interface limit of the matrix-valued Allen--Cahn equation
Xingyu Wang
We study the sharp-interface limit of a matrix-valued Allen--Cahn equation with the Saint Venant--Kirchhoff potential \[ F(\mathbf{A})=\frac14\|{\mathbf{A}\mathbf{A}^\top-\mathbf{I…
Affine web of type Q
Linliang Song, Xingyu Wang
We introduce a new diagrammatic -linear monoidal supercategory , the affine web supercategory of type , where is a commutative ring of characteristi…
The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions
Xingyu Wang
This work investigates the vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions. We establish local-in-time convergenc…
Phase Transition for Potentials of High-Dimensional Wells with a Mass-Type Constraint
Xingyu Wang, Yaguang Wang
Inspired by Lin-Pan-Wang (Comm. Pure Appl. Math., 65(6): 833-888, 2012), we continue to study the corresponding time-independent case of the Keller-Rubinstein-Sternberg problem. To…