Zobrazeno 1 - 10
of 23
pro vyhledávání: '"35Q35, 35Q70"'
Autor:
Rosenzweig, Matthew, Serfaty, Sylvia
We study so-called supercritical mean-field limits of systems of trapped particles moving according to Newton's second law with either Coulomb/super-Coulomb or regular interactions, from which we derive a $\mathsf{d}$-dimensional generalization of th
Externí odkaz:
http://arxiv.org/abs/2408.14642
We consider conservative and gradient flows for $N$-particle Riesz energies with mean-field scaling on the torus $\mathbb{T}^d$, for $d\geq 1$, and with thermal noise of McKean-Vlasov type. We prove global well-posedness and relaxation to equilibrium
Externí odkaz:
http://arxiv.org/abs/2304.05315
We propose finite-volume schemes for the Cahn-Hilliard equation which unconditionally and discretely preserve the boundedness of the phase field and the dissipation of the free energy. Our numerical framework is applicable to a variety of free-energy
Externí odkaz:
http://arxiv.org/abs/2105.05351
Autor:
Rosenzweig, Matthew
In arXiv:1004.1407, Flandoli, Gubinelli, and Priola proposed a stochastic variant of the classical point vortex system of Helmholtz and Kirchoff in which multiplicative noise of transport-type is added to the dynamics. An open problem in the years si
Externí odkaz:
http://arxiv.org/abs/2011.12180
Autor:
Rosenzweig, Matthew
We consider first-order conservative systems of particles with binary Coulomb interactions in the mean-field scaling regime in dimensions $d\geq 3$. We show that if at some time, the associated sequence of empirical measures converges in a suitable s
Externí odkaz:
http://arxiv.org/abs/2010.10009
Autor:
Shu, Ruiwen, Tadmor, Eitan
We investigate the large time behavior of multi-dimensional aggregation equations driven by Newtonian repulsion, and balanced by radial attraction and confinement. In case of Newton repulsion with radial confinement we quantify the algebraic converge
Externí odkaz:
http://arxiv.org/abs/2009.13063
We consider a compressible Euler system with singular velocity alignment, known as the Euler-alignment system, describing the flocking behaviors of large animal groups. We establish a local well-posedness theory for the system, as well as a global we
Externí odkaz:
http://arxiv.org/abs/2007.08356
We consider a system of nonlinear PDEs modeling nematic electrolytes, and construct a dissipative solution with the help of its implementable, structure-inheriting space-time discretization. Computational studies are performed to study the mutual eff
Externí odkaz:
http://arxiv.org/abs/2004.10836
Autor:
Kang, Moon-Jin, Kim, Jeongho
In this paper, we study the propagation of the mono-kinetic distribution in the Cucker-Smale-type kinetic equations. More precisely, if the initial distribution is a Dirac mass for the variables other than the spatial variable, then we prove that thi
Externí odkaz:
http://arxiv.org/abs/1909.07525
Autor:
Kouevi, Assionvi H., Lord, Gabriel J.
This paper is focussed on the numerical resolution of diffusion advection and reaction equations (DAREs) with special features (such as fractures, walls, corners, obstacles or point loads) which globally, as well as locally, have important effects on
Externí odkaz:
http://arxiv.org/abs/1905.11470