Zobrazeno 1 - 10
of 153
pro vyhledávání: '"Kuan, Jeffrey"'
Publikováno v:
Comptes Rendus. Mécanique, Vol , Iss , Pp 1-30 (2023)
We study the existence of a weak solution to a regularized, moving boundary, fluid-structure interaction problem with multi-layered poroelastic media consisting of a reticular plate located at the interface between the free flow of an incompressible,
Externí odkaz:
https://doaj.org/article/e56bff7b79db4da580c815ffd9ebd8f8
Autor:
Kuan, Jeffrey
This paper provides unified calculations regarding certain measures and transformations in interacting particle systems. More specifically, we provide certain general conditions under which an interacting particle system will have a reversible measur
Externí odkaz:
http://arxiv.org/abs/2409.12888
Autor:
Kuan, Jeffrey, Zhou, Zhengye
Using a recently developed method for proving asymptotics via orthogonal polynomial duality arXiv:2305.17602, we prove that the dynamic ASEP introduced in arXiv:1701.05239 has asymptotics which are either distributed as the Tracy--Widom \(F_2,\) or a
Externí odkaz:
http://arxiv.org/abs/2408.15785
We investigate weak solutions to a fluid-structure interaction (FSI) problem between the flow of an incompressible, viscous fluid modeled by the Navier-Stokes equations, and a poroviscoelastic medium modeled by the Biot equations. These systems are c
Externí odkaz:
http://arxiv.org/abs/2307.16158
Autor:
Kuan, Jeffrey, Zhou, Zhengye
We introduce a new, algebraic method to construct duality functions for integrable dynamic models. This method will be implemented on dynamic stochastic higher spin vertex models, where we prove the duality functions are the $ _3 \varphi_2$ functions
Externí odkaz:
http://arxiv.org/abs/2305.17602
Autor:
Kuan, Jeffrey
A previous paper of the author developed a general method for producing explicit central elements of quantized Lie algebras using Lusztig's inner product. This method had previously been applied for the type $C_2$, $D_3$ and $D_4$ Lie algebras. The c
Externí odkaz:
http://arxiv.org/abs/2305.19156
Autor:
Kuan, Jeffrey, Zhou, Zhengye
A previous paper by the authors found explicit contour integral formulas for certain joint moments of the multi-species q-TAZRP (totally asymmetric zero range process), using algebraic methods. These contour integral formulas have a "pseudo-factorize
Externí odkaz:
http://arxiv.org/abs/2305.00321
Publikováno v:
J Stat Phys 190, 101 (2023)
We examine type D ASEP, a two--species interacting particle system which generalizes the usual asymmetric simple exclusion process. For certain cases of type D ASEP, the process does not give priority for one species over another, even though there i
Externí odkaz:
http://arxiv.org/abs/2209.11114
We propose a novel, general method to produce orthogonal polynomial dualities from the $^*$--bialgebra structure of Drinfeld--Jimbo quantum groups. The $^*$--structure allows for the construction of certain \textit{unitary} symmetries, which imply th
Externí odkaz:
http://arxiv.org/abs/2209.03531
Autor:
Kuan, Jeffrey, Čanić, Sunčica
In this paper we introduce a constructive approach to study well-posedness of solutions to stochastic fluid-structure interaction with stochastic noise. We focus on a benchmark problem in stochastic fluid-structure interaction, and prove the existenc
Externí odkaz:
http://arxiv.org/abs/2203.16109