Browsing by Subject "Physics, Mathematical"
Now showing items 18 of 8

A stochasticLagrangian particle system for the NavierStokes equations
(Nonlinearity, 20081101)This paper is based on a formulation of the NavierStokes equations developed by Constantin and the first author (Commun. Pure Appl. Math. at press, arXiv:math.PR/0511067), where the velocity field of a viscous incompressible ... 
An energy stable C^{0} finite element scheme for a quasiincompressible phasefield model of moving contact line with variable density
(Journal of Computational Physics, 20200315)In this paper, we focus on modeling and simulation of twophase flow problems with moving contact lines and variable density. A thermodynamically consistent phasefield model with general Navier boundary condition is developed ... 
Anomalous dissipation in a stochastically forced infinitedimensional system of coupled oscillators
(Journal of Statistical Physics, 20070901)We study a system of stochastically forced infinitedimensional coupled harmonic oscillators. Although this system formally conserves energy and is not explicitly dissipative, we show that it has a nontrivial invariant ... 
Elusive Worldsheet Instantons in Heterotic String Compactifications
(STRINGMATH 2011, 20120101)We compute the spectrum of massless gauge singlets in some heterotic string compactifications using LandauGinzburg, orbifold and nonlinear sigmamodel methods. This probes the worldsheet instanton corrections ... 
Reducedorder deep learning for flow dynamics. The interplay between deep learning and model reduction
(Journal of Computational Physics, 202001) 
Simple systems with anomalous dissipation and energy cascade
(Communications in Mathematical Physics, 20071101)We analyze a class of dynamical systems of the type ȧn(t) = cn1 an1(t)  cn an+1(t) + f n(t), n ∈ ℕ, a 0=0, where f n (t) is a forcing term with fn(t) ≠ = 0 only for ≤n n* < ∞ and the coupling coefficients c n satisfy ... 
Stationary state volume fluctuations in a granular medium.
(Physical review. E, Statistical, nonlinear, and soft matter physics, 20050330)A statistical description of static granular material requires ergodic sampling of the phase space spanned by the different configurations of the particles. We periodically fluidize a column of glass beads and find that ... 
Topological strings, Dmodel, and knot contact homology
(Advances in Theoretical and Mathematical Physics, 2014)© 2014 International Press. We study the connection between topological strings and contact homology recently proposed in the context of knot invariants. In particular, we establish the proposed relation between the Gromov ...