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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

arXiv version

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[10]  Smooth Solutions of the Surface Semi-Geostrophic Equations

(joint with Stefania Lisai)

Submitted November 2018

arXiv version

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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

arXiv version

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[9]  On Global-in-time Chaotic Weak Solutions of the Liouville Equation for Hard Spheres

Submitted March 2018

arXiv version

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[7]  On the Initial Boundary-Value Problem in the Kinetic Theory of Hard Particles I: Non-existence

Submitted March 2018

arXiv version

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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

arXiv version

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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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