Global solutions of aggregation equations and other flows with random diffusion. [PDF]
Rosenzweig M, Staffilani G.
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Singularity \& Regularity Issues for Simplified Models of Turbulence
We consider a family of Leray-$\alpha$ models with periodic boundary conditions in three space dimensions. Such models are a regularization, with respect to a parameter $\theta$, of the Navier-Stokes equations. In particular, they share with the original
Ali, Hani, Ammari, Zied
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Some explicit solutions of the three-dimensional Euler equations with a free surface. [PDF]
Martin CI.
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A Finite Element Approximation for Nematic Liquid Crystal Flow with Stretching Effect Based on Nonincremental Pressure-Correction Method. [PDF]
Meng Z, Liu M, Jia H.
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Analytical solutions of cylindrical and spherical dust ion-acoustic solitary waves
In the present work, employing the conventional reductive perturbation method to the field equations of an unmagnetized dusty plasma consisting of inertial ions, Boltzmann electrons and stationary dust particles in the nonplanar geometry we derived ...
Essam. R. El-Zahar, Hilmi Demiray
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Free surface equatorial flows in spherical coordinates with discontinuous stratification depending on depth and latitude. [PDF]
Martin C, Petruşel A.
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Long time decay of incompressible convective Brinkman-Forchheimer in L2(ℝ3)
In this article, we study the global existence, uniqueness, and continuity for the solution of incompressible convective Brinkman-Forchheimer on the whole space R3{{\mathbb{R}}}^{3} when 4μβ≥14\mu \beta \ge 1.
Jlali Lotfi, Benameur Jamel
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Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem. [PDF]
Martin CI.
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Time decay estimates of solutions to a two-phase flow model in the whole space
In this article, we aim to establish the optimal time decay rates of strong solutions to a two-phase flow model derived from a type of coupled fluid-kinetic equation.
Wu Yakui, Wu Qiong, Zhang Yue
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On the convergence rate of the Kačanov scheme for shear-thinning fluids. [PDF]
Heid P, Süli E.
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