Results 41 to 50 of about 2,783 (131)
, 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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Norm inflation for generalized magneto-hydrodynamic system [PDF]
, 2015 We consider the three-dimensional incompressible magneto-hydrodynamic system with fractional powers of the Laplacian. We discover a wide range of spaces where the norm inflation occurs and hence small initial data results are out of reach.
Cheskidov, Alexey, Dai, Mimi
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Convex dynamics in Hele‐Shaw cells
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 11, Page 639-650, 2002., 2002 We study geometric properties of a contracting bubble driven by a homogeneous source at infinity and surface tension. The properties that are preserved during the time evolution are under consideration. In particular, we study convex dynamics of the bubble and prove that the rate of the area change is controlled by variation of the bubble logarithmic ...
Dmitri Prokhorov, Alexander Vasil′ev
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Regularity Criteria on the 2D Anisotropic Magnetic Bénard Equations
Journal of Mathematical Study, 2019 In this paper, we study the global regularity issue of two dimensional incompressible magnetic Bénard equations with partial dissipation and magnetic diffusion.
Dipendra Sharma
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Existence of global solution for a differential system with initial data in Lp
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 4, Page 823-834, 1999., 1999 In this paper, we study the system governing flows in the magnetic field within the earth. The system is similar to the magnetohydrodynamic (MHD) equations. By establishing a new priori estimates and following Calderón′s procedure for the Navier Stokes equations [1], we obtained, for initial data in space Lp, the global in time existence and uniqueness
Peter Bates, Fengxin Chen, Ping Wang
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Advances in Nonlinear Analysis, 2020 The Keller-Segel-Stokes ...
Wang Yulan +2 more
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Magneto‐micropolar fluid motion: global existence of strong solutions
Abstract and Applied Analysis, Volume 4, Issue 2, Page 109-125, 1999., 1999 By using the spectral Galerkin method, we prove a result on global existence in time of strong solutions for the motion of magneto‐micropolar fluid without assuming that the external forces decay with time. We also derive uniform in time estimates of the solution that are useful for obtaining error bounds for the approximate solutions.
Elva E. Ortega-Torres +1 more
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Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type [PDF]
, 2003 2000 Mathematics Subject Classification: 35B35, 35B40, 35Q35, 76B25, 76E30.This paper concerns the orbital stability and instability of solitary waves of the system of coupling equations of Benjamin-Bona-Mahony type.
Hakkaev, Sevdzhan
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, 2013 In this paper, we show the convergence rate of a solution toward the stationary solution to the initial boundary value problem for the one-dimensional bipolar compressible Navier-Stokes-Poisson equations.
Fang Zhou, Yeping Li
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Decay Rate on the Radius of Spatial Analyticity to Solutions for the Modified Camassa–Holm Equation
Journal of Mathematics, Volume 2025, Issue 1, 2025.The initial value problem associated with the modified Camassa–Holm equation for initial data u0(x) that is analytic on the line and having uniform radius of spatial analyticity σ0 is considered. We have shown the persistence of the radius of spatial analyticity till some time δ.
Tegegne Getachew, Yongqiang Fu
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