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Courses
- TCVTheory of Complex Variables
- ODESTOrdinary Differential Equations and Stability Theory
- MAMatrix Analysis
- CVAComplex Variables with Applications
- PDEPartial Differential Equations
- CIICalculus II
- AAMAdvanced Applied Mathematics
- PMAMPerturbation Methods in Applied Mathematics
- APDEApplied Partial Differential Equations
- TGNTheory of Graphs and Networks
Grants
- Mathematics of Self-Assembled Materials
Principal Investigator (PI)
2019
$234.0K
Active - Self-Assembly of Block Copolymer Materials
Principal Investigator (PI)
2015
$248.0K
- Large Scale Interface Dynamics in Energy-Driven Condensed Matter Systems
Principal Investigator (PI)
2008
$205.9K
Publications (37)
Recent
- Data-driven learning of differential equations: combining data and model uncertainty
2023
- Optimization algorithms for parameter identification in parabolic partial differential equations
2021
- Theoretical prediction of morphological selection in amphiphilic system
2019
- Evolution and competition of block copolymer nanoparticles
2019
- Multidimensional equilibria and their stability in copolymer--solvent mixtures
2018
- Multilayered Equilibria in a Density Functional Model of Copolymer-solvent Mixtures
2017
- Nonlinearity saturation as a singular perturbation of the nonlinear Schrodinger equation
2016
- Instability and reorientation of block copolymer microstructure by imposed electric fields
2016
- Improving the accuracy of convexity splitting methods for gradient flow equations
2016
- Hexagonal phase ordering in strongly segregated copolymer films
2015
- Regularized Model of Post-Touchdown Con gurations in Electrostatic MEMS: Interface Dynamics
2015
- Transient behavior of collapsing ring solutions in the critical nonlinear Schr odinger equation
2014
- Regularized model of post-touchdown configurations in electrostatic MEMS: Equilibrium analysis
2014
- The stability and evolution of curved domains arising from one-dimensional localized patterns
2013
- Characterising the disordered state of block copolymers: Bifurcations of localised states and self-replication dynamics
2012
- Canonical and singular propagation of ultrashort pulses in a nonlinear medium
2011
- Long-time evolution of models of aeolian sand dune fields: Influence of dune formation and collision
2010
- Spatially localized structures in diblock copolymer mixtures
2010
- Viscosity solutions for a model of contact line motion
2009
- Coarsening and self-organization in dilute diblock copolymer melts and mixtures
2009
- Ostwald ripening of droplets: The role of migration
2009
- Ostwald ripening in thin film equations
2008
- A diffuse-interface model for electrowetting drops in a Hele-Shaw cell
2007
- The dynamics of pendant droplets on a one-dimensional surface
2007
- Homogenization of contact line dynamics
2006
- Grain boundary motion arising from the gradient flow of the Aviles-Giga functional
2006
- A boundary integral formulation of quasi-steady fluid wetting
2005
- Collision versus collapse of droplets in coarsening of dewetting thin films
2005
- Variational models for moving contact lines and the quasi-static approximation
2005
- A diffuse interface approach to Hele-Shaw flow
2003
- Coarsening dynamics of dewetting films
2003
- Spreading of droplets under the influence of intermolecular forces
2003
- Rapid growth and critical behaviour in phase field models of solidification
2001
- Nonlinear preconditioning for diffuse interfaces
2001
- Solute trapping and the non-equilibrium phase diagram for solidification of binary alloys
2001
- Dual fronts in a phase field model
2000
- Traveling waves in rapid solidification
2000