Area of research
Computational Theory and Mathematics · Applied Mathematics
Research interest
Research interests include Mathematics, Mathematical analysis, Compressibility, Limit (mathematics), Bounded function, and Convergence (economics).
<!--StartFragment --><span class="cf0">On a diffuse interface model for diblock copolymers interacting with an electric field</span><!--EndFragment -->
Diffuse interface model for two-phase flows on evolving surfaces with different densities: local well-posedness
Diffuse interface model for two-phase flows on evolving surfaces with different densities: global well-posedness
Convergence of the Nonlocal Allen–Cahn Equation to Mean Curvature Flow
Diffuse Interface Models for Two-Phase Flows with Phase Transition: Modeling and Existence of Weak Solutions
Strong nonlocal-to-local convergence of the Cahn-Hilliard equation and its operator
Mathematical Analysis of a Diffuse Interface Model for Multi-phase Flows of Incompressible Viscous Fluids with Different Densities
Existence of weak solutions to a Cahn–Hilliard–Biot system
Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier–Stokes/Allen–Cahn System
Sharp interface limit for a Navier–Stokes/Allen–Cahn system in the case of a vanishing mobility
Maximal $$L_p$$-regularity for x-dependent fractional heat equations with Dirichlet conditions
Low Mach number limit of a diffuse interface model for two‐phase flows of compressible viscous fluids
Mixture theory for diffuse interface models of two-phase flows
Global regularity and asymptotic stabilization for the incompressible Navier–Stokes-Cahn–Hilliard model with unmatched densities
Sharp Interface Limit for a Navier–Stokes/Allen–Cahn System with Different Viscosities
Short time existence for coupling of scaled mean curvature flow and diffusion
Qualitative properties for a system coupling scaled mean curvature flow and diffusion
Short-time existence of a quasi-stationary fluid–structure interaction problem for plaque growth
Fractional‐order operators on nonsmooth domains
On a fluid–structure interaction problem for plaque growth
Convergence of a nonlocal to a local diffuse interface model for two-phase flow with unmatched densities
On a fluid-structure interaction problem for plaque growth: cylindrical domain
Convergence of thin vibrating rods to a linear beam equation
Large times existence for thin vibrating rods
(Non-)convergence of solutions of the convective Allen–Cahn equation
Sharp Interface Limit of a Stokes/Cahn–Hilliard System, Part II: Approximate Solutions
Sharp interface limit of a Stokes/Cahn–Hilliard system. Part I: Convergence result
Standard planar double bubbles are dynamically stable under surface diffusion flow
Invariance of the Fredholm index and spectrum of non-smooth pseudodifferential operators
Convergence of the Allen-Cahn equation with a nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle close to $90${\deg}.
arXiv (Cornell University) 2021cited by 0position: first