Results 41 to 50 of about 163 (148)
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 9, Page 501-516, 2002., 2002 We study asymptotic behavior in time of global small solutions to the quadratic nonlinear Schrödinger equation in two‐dimensional spaces i∂tu + (1/2)Δu = 𝒩(u), (t, x) ∈ ℝ × ℝ2; u(0, x) = φ(x), x ∈ ℝ2, where 𝒩(u)=Σj,k=12(λjk(∂xju)(∂xku)+μjk(∂xju¯)(∂xku¯)), where λjk, μjk ∈ ℂ.
Nakao Hayashi, Pavel I. Naumkin
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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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Spatial Decay Estimates for Elastic Plate System With Type II Heat Conduction
Journal of Mathematics, Volume 2026, Issue 1, 2026.The classical Saint‐Venant principle has been extensively studied for harmonic and biharmonic models but remains largely unexplored for thermomechanical plates governed by hyperbolic (Type II) heat conduction, a conservative thermal model with unique dynamical features. This paper investigates the spatial decay properties of solutions to such a coupled
Jincheng Shi, Yiwu Lin, Pramita Mishra
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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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Regularity for Micropolar Fluid Equations Subjected to Hall Current
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this paper, we consider the density‐dependent incompressible Hall‐magnetomicropolar fluid equations and establish a regularity condition involving the Lt1Lx∞ norm of the velocity gradient and the microrotational velocity gradient and the Lt2r/r−3Lxr norm of the magnetic field gradient for r > 3.
Mingyu Zhang, Arpan Hazra
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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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Advances in Nonlinear Analysis, 2020 The Keller-Segel-Stokes ...
Wang Yulan +2 more
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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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On the differential system govering flows in magnetic field with data in Lp
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 299-305, 1998., 1996 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. For initial data in space Lp, we obtained the local in time existence and uniqueness ofweak solutions of the system subject to appropriate initial and boundary conditions.
Fengxin Chen, Ping Wang, Chaoshun Qu
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Computational and Mathematical BiophysicsThis study presents a comprehensive mathematical framework that applies fluid dynamics to model the spatial spread of infectious diseases with low mortality rates.
Nnaji Daniel Ugochukwu +4 more
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