Results 61 to 70 of about 2,785 (130)
, 2019 A stochastic three-dimensional Navier-Stokes system with the axisymmetric initial data and white noise is studied. It is shown that if the swirl component of the initial velocity field and the white noise are sufficiently small, then the axisymmetric ...
Lihuai Du, Ting Zhang
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Advances in Nonlinear AnalysisIn this study, we consider the initial boundary value problem of the planar magnetohydrodynamics (MHD) system when the viscous coefficients and heat conductivity depend on the temperature, which are assumed to be proportional to θα{\theta }^{\alpha }, α ...
Shang Zhaoyang, Yang Erjia
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, 2014 We give an example of a well posed, finite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can produce finite time singularities. In spite of its simplicity, this seems to
Chae, Dongho +2 more
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Stability on 3D Boussinesq system with mixed partial dissipation
Advances in Nonlinear AnalysisIn the article, we are concerned with the three-dimensional anisotropic Boussinesq equations with the velocity dissipation in x2{x}_{2} and x3{x}_{3} directions and the thermal diffusion in only x3{x}_{3} direction.
Lin Hongxia +3 more
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Regularity of weak solutions to the 3D stationary tropical climate model
Open MathematicsThis article studies the regularity of weak solutions to the 3D stationary tropical climate model. We prove that when (U,V,θ)\left(U,V,\theta ) belongs to the homogeneous Morrey space M˙2,p(R3){\dot{M}}^{2,p}\left({{\mathbb{R}}}^{3}) with p>3p\gt 3, then
Song Huiyang, Bie Qunyi, Zhou Yanping
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Advances in Nonlinear Analysis, 2017 In this paper, we study the following water wave model with a nonlocal viscous term:
Goubet Olivier, Manoubi Imen
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Analyticity of dissipative-dispersive systems in higher dimensions
, 2018 We investigate the analyticity of the attractors of a class of Kuramoto-Sivashinsky type pseudo-differential equations in higher dimensions, which are periodic in all spatial variables and possess a universal attractor.
Evripidou, Charalampos +1 more
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Canonically conjugate variables for the periodic Camassa-Holm equation
, 2004 The Camassa-Holm shallow water equation is known to be Hamiltonian with respect to two compatible Poisson brackets. A set of conjugate variables is constructed for both brackets using spectral theory.Comment: 10 pages, no figures, LaTeX; v.
Alber M S +8 more
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The spectral discretization of the second-order wave equation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper we deal with the discretization of the second order wave equation by the implicit Euler scheme for the time and the spectral method for the space. We prove that the time semi discrete and the full discrete problems are well posed.
Abdelwahed Mohamed, Chorfi Nejmeddine
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Blowup of Solutions of the Hydrostatic Euler Equations [PDF]
, 2012 In this paper we prove that for a certain class of initial data, smooth solutions of the hydrostatic Euler equations blow up in finite time.Comment: 7 pages; added 1 reference in section 1, paraphrased lemma 2.2, but all mathematical details remain ...
Wong, Tak Kwong
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