Area of research
Applied Mathematics · Geometry and Topology
Research interest
Research interests include Mathematics, Flow (mathematics), Curvature, Mathematical analysis, Boundary (topology), and Regular polygon.
The free elastic flow for closed planar curves
Uniqueness and minimality of Euler’s elastica with monotone curvature
A classification of solitons for the surface diffusion flow of entire graphs
Curve diffusion and straightening flows on parallel lines
A Simple but Effective Bushfire Model: Analysis and Real-Time Simulations
The p-elastic flow for planar closed curves with constant parametrization
On the $$H^1(ds^\gamma )$$-Gradient Flow for the Length Functional
Analysis of the inhomogeneous Willmore equation
Representation formulae for higher order curvature flows
High order curvature flows of plane curves with generalised Neumann boundary conditions
A Length-Constrained Ideal Curve Flow
Closed ideal planar curves
A sixth order flow of plane curves with boundary conditions
A gradient flow for the p-elastic energy defined on closed planar curves
Concentration-Compactness and Finite-Time Singularities for Chen's Flow
Institutional Repositories DataBase (IRDB) 2019cited by 7position: middle
A Sixth Order Curvature Flow of Plane Curves with Boundary Conditions
The anisotropic polyharmonic curve flow for closed plane curves
On a curvature flow model for embryonic epidermal wound healing
Rigidity and stability of spheres in the Helfrich model
Mean curvature flow with free boundary outside a hypersphere
The geometric triharmonic heat flow of immersed surfaces near spheres
Finite time singularities for the locally constrained Willmore flow of surfaces
The polyharmonic heat flow of closed plane curves
The Shrinking Figure Eight and Other Solitons for the Curve Diffusion Flow
Modelling dynamic bushfire spread: perspectives from the theory of curvature flow
Global analysis of the generalised Helfrich flow of closed curves immersed in ℝⁿ
The Shrinking Figure Eight and Other Solitons for the Curve Diffusion Flow
Gap phenomena for a class of fourth-order geometric differential operators on surfaces with boundary
Curvature contraction of convex hypersurfaces by nonsmooth speeds
A classification theorem for Helfrich surfaces