Results 11 to 20 of about 654 (33)
On the complete phase synchronization for the Kuramoto model in the mean-field limit [PDF]
, 2014 We study the Kuramoto model for coupled oscillators. For the case of identical natural frequencies, we give a new proof of the complete frequency synchronization for all initial data; extending this result to the continuous version of the model, we ...
Benedetto, Dario +2 more
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Global regularity of two-dimensional flocking hydrodynamics [PDF]
, 2017 We study the systems of Euler equations which arise from agent-based dynamics driven by velocity \emph{alignment}. It is known that smooth solutions of such systems must flock, namely -- the large time behavior of the velocity field approaches a limiting
He, Siming, Tadmor, Eitan
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Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vaccum [PDF]
, 2016 This paper considers the initial boundary problem to the planar compressible magnetohydrodynamic equations with large initial data and vacuum. The global existence and uniqueness of large strong solutions are established when the heat conductivity ...
Fan, Jishan, Huang, Shuxiang, Li, Fucai
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, 2011 Based on Makino's solutions with radially symmetry, we extend the corresponding ones with elliptic symmetry for the compressible Euler and Navier-Stokes equations in R^{N} (N\geq2).
Yuen, Manwai
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, 2015 In this paper the method of compensated compactness is applied to the problem of isometric immersion of a two dimensional Riemannian manifold with negative Gauss curvature into three dimensional Euclidean space.
Christoforou, Cleopatra +1 more
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, 2014 In this paper, we investigate the analytical solutions of the compressible Navier-Stokes equations with dependent-density viscosity. By using the characteristic method, we successfully obtain a class of drifting solutions with elliptic symmetry for the ...
An, Hongli, Yuen, Manwai
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Entropy-Preserving Coupling Conditions for One-dimensional Euler Systems at Junctions
, 2018 This paper is concerned with a set of novel coupling conditions for the $3\times 3$ one-dimensional Euler system with source terms at a junction of pipes with possibly different cross-sectional areas.
Lang, Jens, Mindt, Pascal
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Pointwise wave behavior of the Navier-Stokes equations in half space
, 2017 In this paper, we investigate the pointwise behavior of the solution for the compressible Navier-Stokes equations with mixed boundary condition in half space. Our results show that the leading order of Green's function for the linear system in half space
Du, Linglong, Wang, Haitao
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Finite Volume Method for the Relativistic Burgers Model on a (1+1)-Dimensional de Sitter Spacetime
, 2016 Several generalizations of the relativistic models of Burgers equations have recently been established and developed on different spacetime geometries. In this work, we take into account the de Sitter spacetime geometry, introduce our relativistic model ...
Ceylan, Tuba, Okutmustur, Baver
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Global well-posedness for the dynamical Q-tensor model of liquid crystals
, 2015 In this paper, we consider a complex fluid modeling nematic liquid crystal flows, which is described by a system coupling Navier-Stokes equations with a parabolic Q-tensor system.
Ding, Shijin, Huang, Jinrui
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