7 citations · 7 across the 4 of their papers we have counts for
7 papers
Asymptotic stability for diffusion with dynamic boundary reaction from Ginzburg-Landau energy
Yuan Gao, Jean-Michel Roquejoffre
The nonequilibrium process in dislocation dynamics and its relaxation to the metastable transition profile is crucial for understanding the plastic deformation caused by line defec…
Lagrangian correspondences and the generalized Viterbo restriction functor
Yuan Gao
We study two kinds of functors of wrapped Fukaya categories: 1) the Viterbo restriction functor for an inclusion of a Liouville sub-domain; 2) the Lagrangian correspondence functor…
Large time behavior, bi-Hamiltonian structure and kinetic formulation for complex Burgers equation
Yu Gao, Yuan Gao, Jian-Guo Liu
We prove the existence and uniqueness of positive analytical solutions with positive initial data to the mean field equation (the Dyson equation) of the Dyson Brownian motion throu…
Variational Properties of Matrix Functions via the Generalized Matrix-Fractional Function
James V. Burke, Yuan Gao, Tim Hoheisel
We show that many important convex matrix functions can be represented as the partial infimal projection of the generalized matrix fractional (GMF) and a relatively simple convex f…
Limiting Behaviors of High Dimensional Stochastic Spin Ensembles
Yuan Gao, Kay Kirkpatrick, Jeremy Marzuola +2
Lattice spin models in statistical physics are used to understand magnetism. Their Hamiltonians are a discrete form of a version of a Dirichlet energy, signifying a relationship to…
Wrapped Floer cohomology and Lagrangian correspondences
Yuan Gao
We study Lagrangian correspondences between Liouville manifolds and construct functors between wrapped Fukaya categories. The study naturally brings up the question on comparing tw…