Neshan Wickramasekera

1. Stable phase interfaces in the van der Waals--Cahn--Hilliard theory
   2010/07/13 by Yoshihiro Tonegawa, Neshan Wickramasekera, Tonegawa, Yoshihiro +1 · 2 citations
   Earth and Planetary Sciences · Physics and Astronomy · Materials Science · #nanoparticles nucleation surface interactions #Theoretical and Computational Physics #Solidification and crystal growth phenomena
2. The inhomogeneous Allen--Cahn equation and the existence of prescribed-mean-curvature hypersurfaces
   2020/10/12 by Costante Bellettini, Bellettini, Costante, Neshan Wickramasekera +1 · 2 citations
   Mathematics · #35J20 #35J61 #35J93 #35K58 #49Q20 #53A10 #53C21 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory #Nonlinear Partial Differential Equations
3. A frequency function and singular set bounds for branched minimal\n immersions
   2010/12/22 by Leon Simon, Neshan Wickramasekera, Simon, Leon +1 · 1 citation
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
4. A sharp strong maximum principle and a sharp unique continuation theorem\n for singular minimal hypersurfaces
   2013/10/15 by Neshan Wickramasekera, Wickramasekera, Neshan · 1 citation
   Mathematics · #Algebraic Geometry and Number Theory #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory #Nonlinear Partial Differential Equations
5. Curvature estimates and sheeting theorems for weakly stable CMC\n hypersurfaces
   2018/02/24 by Costante Bellettini, Bellettini, Costante, Otis Chodosh +3 · 1 citation
   Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
6. Analysis of singularities of area-minimizing currents, Part II: a uniform height bound, estimates away from branch points of rapid decay, and uniqueness of tangent cones
   2023/04/20 by Brian Krummel, Krummel, Brian, Neshan Wickramasekera +1 · 1 citation
   Computer Science · Engineering · #35J60 #49Q20 #53A10 #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #Differential Geometry (math.DG) #FOS: Mathematics
7. Analysis of singularities of area minimizing currents, Part I: planar frequency, branch points of rapid decay, and weak locally uniform approximation
   2023/04/20 by Brian Krummel, Krummel, Brian, Neshan Wickramasekera +1 · 1 citation
   Computer Science · Mathematics · #35J60 #49Q20 #53A10 #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Approximation and Integration