Results 11 to 20 of about 3,173,665 (255)
Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations [PDF]
Communications on Pure and Applied Mathematics, 2021 We investigate the long‐time properties of the two‐dimensional inviscid Boussinesq equations near a stably stratified Couette flow, for an initial Gevrey perturbation of size ε.
J. Bedrossian +3 more
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Robust output regulation of the linearized Boussinesq equations with boundary control and observation [PDF]
MCSS. Mathematics of Control, Signals and Systems, 2020 We study a temperature and velocity output tracking problem for a two-dimensional room model with the fluid dynamics governed by the linearized translated Boussinesq equations. Additionally, the room model includes finite-dimensional models for actuation
N. Leppla +32 more
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A Regularity Criterion in Weak Spaces to Boussinesq Equations [PDF]
Mathematics, 2020 In this paper, we study the regularity of weak solutions to the incompressible Boussinesq equations in R 3 × ( 0 , T ) . The main goal is to establish the regularity criterion in terms of one velocity component and the gradient of temperature in Lorentz ...
R. Agarwal, S. Gala, M. Ragusa
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The Physics of Fluids, 2021 Undular bores, also termed dispersive shock waves, generated by an initial discontinuity in height as governed by two forms of the Boussinesq system of weakly nonlinear shallow water wave theory, the standard formulation and a Hamiltonian formulation ...
R. Vargas-Magaña +2 more
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Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system [PDF]
Nonlinearity, 2020 The inviscid 2D Boussinesq system with thermal diffusivity and multiplicative noise of transport type is studied in the L 2-setting. It is shown that, under a suitable scaling of the noise, weak solutions to the stochastic 2D Boussinesq equations ...
Dejun Luo
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Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data II: Rigorous Numerics [PDF]
arXiv.org, 2023 This is Part II of our paper in which we prove finite time blowup of the 2D Boussinesq and 3D axisymmetric Euler equations with smooth initial data of finite energy and boundary.
Jiajie Chen, T. Hou
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On the Boussinesq Equations with Non-monotone Temperature Profiles [PDF]
Journal of nonlinear science, 2020 In this article, we consider the asymptotic stability of the two-dimensional Boussinesq equations with partial dissipation near a combination of Couette flow and temperature profiles T(y).
C. Zillinger
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On the periodic “good” Boussinesq equation [PDF]
Proceedings of the American Mathematical Society, 2009 We study the well-posedness of the initial-value problem for the periodic nonlinear “good” Boussinesq equation. We prove that this equation is locally well posed for initial data in Sobolev spaces H s ( T ) H^s(\mathbb {T}) for s > −
Farah, Luiz Gustavo, Scialom, Márcia
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Demonstratio Mathematica, 2023 In this article, we study the regularity criteria of the weak solutions to the Boussinesq equations involving the horizontal component of velocity or the horizontal derivatives of the two components of velocity in anisotropic Lorentz spaces.
Agarwal Ravi P. +3 more
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The regularity properties and blow-up of the solutions for improved Boussinesq equations
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we study the Cauchy problem for linear and nonlinear Boussinesq type equations that include the general differential operators. First, by virtue of the Fourier multipliers, embedding theorems in Sobolev and Besov spaces, the existence ...
Veli Shakhmurov, Rishad Shahmurov
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