22 citations · 202 across the 36 of their papers we have counts for
7 papers · 1 filter
Functors of wrapped Fukaya categories from Lagrangian correspondences
Yuan Gao
We study wrapped Floer theory on product Liouville manifolds and prove that the wrapped Fukaya categories defined with respect to two different kinds of natural Hamiltonians and al…
Gradient flow approach to an exponential thin film equation: global existence and latent singularity
Yuan Gao, Jian-Guo Liu, Xin Yang Lu
In this work, we study a fourth order exponential equation, derived from thin film growth on crystal surface in multiple space dimensions. We use the gradient flow…
Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface
Yuan Gao, Jian-Guo Liu, Xin Yang Lu +1
In this work we consider which is derived from a thin film equation for epitaxial growth on vicinal surface. We formulate the pr…
A vicinal surface model for epitaxial growth with logarithmic free energy
Yuan Gao, Hangjie Ji, Jian-Guo Liu +1
We study a continuum model for solid films that arises from the modeling of one-dimensional step flows on a vicinal surface in the attachment-detachment-limited regime. The resulti…
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…
Convex Geometry of the Generalized Matrix-Fractional Function
James V. Burke, Yuan Gao, Tim Hoheisel
Generalized matrix-fractional (GMF) functions are a class of matrix support functions introduced by Burke and Hoheisel as a tool for unifying a range of seemingly divergent matrix…
Global existence of solutions to a tear film model with locally elevated evaporation rates
Yuan Gao, Hangjie Ji, Jian-Guo Liu +1
Motivated by a model proposed by Peng et al. [Advances in Coll. and Interf. Sci. 206 (2014)] for break-up of tear films on human eyes, we study the dynamics of a generalized thin f…