Publications
(Last Updated: February 2019)
[11] Cullen's Stability Principle and Weak Solutions of the Free-surface Semi-Geostrophic Equations
(joint with Mike J.P. Cullen, Tobias Kuna, and Beatrice Pelloni)
Submitted November 2018
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[10] Smooth Solutions of the Surface Semi-Geostrophic Equations
(joint with Stefania Lisai)
Submitted November 2018
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[9] Local-in-time Physical Solutions of the Incompressible Semi-Geostrphic Equations in Eulerian Coordinates
Submitted July 2018
Recommended for publication in the SIAM Journal on Mathematical Analysis
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[9] On Global-in-time Chaotic Weak Solutions of the Liouville Equation for Hard Spheres
Submitted March 2018
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[7] On the Initial Boundary-Value Problem in the Kinetic Theory of Hard Particles I: Non-existence
Submitted March 2018
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[6] On the Initial Boundary-Value Problem in the Kinetic Theory of Hard Particles II: Non-uniqueness
Submitted February 2018
Recommended for publication in the Archive for Rational Mechanics and Analysis
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[5] On a Paradox in the Impact Dynamics of Smooth Rigid Bodies
(joint with Peter-Palffy Muhoray, Epifanio Virga and Xiaoyu Zheng)
Mathematics and Mechanics of Solids (January 2018)
arXiv version, journal version
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[4] On the Convergence of Soft Potential Dynamics to Hard Sphere Dynamics
Asymptotic Analysis, vol. 107, no. 1-2, pp. 1-32, 2018
arXiv version, journal version
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[3] On Collision Invariants for Linear Scattering
(joint with Laure Saint-Raymond)
Comm. Pure Appl. Math., 71: 1494-1534, 2018
arXiv version, journal version​
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[2] Strict Physicality of Global-in-time Weak Solutions of a Q-tensor Navier-Stokes System
Arch. Rational Mech. Anal. (2015) 218: 487
arXiv version, journal version
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[1] Dynamic Statistical Scaling in the Landau-de Gennes Theory of Nematic Liquid Crystals
(joint with Eduard Kirr and Arghir Zarnescu)
J. Stat. Phys. (2014) 155: 625
arXiv version, journal version
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Articles in Preparation:
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Incompressible Hydrodynamic Limit of a Boltzmann Equation for Nonspherical Particles
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Commutator Equations and Global-in-time Weak Solutions of the BBGKY Hierarchy for the Linear Motion of Hard Spheres I: The Method of Folding
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Commutator Equations and Global-in-time Weak Solutions of the BBGKY Hierarchy for the Linear Motion of Hard Spheres II: Algebraic Structure
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