Results 11 to 20 of about 2,222 (26)
, 2012 Two unusual time-integral conditional regularity results are presented for the three-dimensional Navier-Stokes equations. The ideas are based on $L^{2m}$-norms of the vorticity, denoted by $\Omega_{m}(t)$, and particularly on $D_{m} = \Omega_{m}^{\alpha_{
Constantin P. +9 more
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On the longtime behavior of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions [PDF]
, 2018 In this paper, we study the longtime asymptotic behavior of a phase separation process occurring in a three-dimensional domain containing a fluid flow of given velocity. This process is modeled by a viscous convective Cahn-Hilliard system, which consists
Colli, Pierluigi +2 more
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Conformal flow on $S^3$ and weak field integrability in AdS$_4$
, 2017 We consider the conformally invariant cubic wave equation on the Einstein cylinder $\mathbb{R} \times \mathbb{S}^3$ for small rotationally symmetric initial data.
Bizoń, Piotr +5 more
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A study of blow-ups in the Keller-Segel model of chemotaxis [PDF]
, 2010 We study the Keller-Segel model of chemotaxis and develop a composite particle-grid numerical method with adaptive time stepping which allows us to accurately resolve singular solutions.
Bertozzi A +15 more
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Some Free Boundary Problems involving Nonlocal Diffusion and Aggregation
, 2015 We report on recent progress in the study of evolution processes involving degenerate parabolic equations what may exhibit free boundaries. The equations we have selected follow to recent trends in diffusion theory: considering anomalous diffusion with ...
Carrillo, Jose Antonio +1 more
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, 2015 In this paper we propose a continuous data assimilation (downscaling) algorithm for the B\'enard convection in porous media using only coarse mesh measurements of the temperature.
Farhat, Aseel +2 more
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, 2016 In this paper we propose a continuous data assimilation (downscaling) algorithm for a two-dimensional B\'enard convection problem. Specifically we consider the two-dimensional Boussinesq system of a layer of incompressible fluid between two solid ...
Farhat, Aseel +2 more
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Nonconcentration of energy for a semilinear Skyrme model
, 2010 We continue our investigation of a model introduced by Adkins and Nappi, in which omega mesons stabilize chiral solitons. The aim of this article is to show that the energy associated to equivariant solutions does not concentrate.Comment: 12 pages, 2 ...
Adkins +18 more
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Recent results in mathematical relativity
, 2004 We review selected recent results concerning the global structure of solutions of the vacuum Einstein equations. The topics covered include quasi-local mass, strong cosmic censorship, non-linear stability, new constructions of solutions of the constraint
Chrusciel, Piotr T.
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Inviscid models generalizing the 2D Euler and the surface quasi-geostrophic equations
, 2010 Any classical solution of the 2D incompressible Euler equation is global in time. However, it remains an outstanding open problem whether classical solutions of the surface quasi-geostrophic (SQG) equation preserve their regularity for all time.
Chae, Dongho +2 more
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