Results 1 to 10 of about 67,419 (287)
Dynamic programming approach to structural optimization problem - numerical algorithm [PDF]
Opuscula Mathematica, 2014 In this paper a new shape optimization algorithm is presented. As a model application we consider state problems related to fluid mechanics, namely the Navier-Stokes equations for viscous incompressible fluids.
Piotr Fulmański +2 more
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Mathematics, 2021 In this paper, we investigate the existence of an optimal solution of a functional restricted to non-linear partial differential equations, which ruled the dynamics of viscous and incompressible stratified fluids in R3.
Edgardo Alvarez +2 more
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A new upper bound for the largest growth rate of linear Rayleigh–Taylor instability
Journal of Inequalities and Applications, 2021 We investigate the effect of (interface) surface tensor on the linear Rayleigh–Taylor (RT) instability in stratified incompressible viscous fluids.
Changsheng Dou +2 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020 The paper discusses a class of exact solutions of the Oberbeck–Boussinesq equations suitable for describing three-dimensional nonlinear layered flows of a vertically swirling viscous incompressible fluid.
Natal'ya Vladimirovna Burmasheva +1 more
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On the Evolution of Compressible and Incompressible Viscous Fluids with a Sharp Interface
Mathematics, 2021 In this paper, we consider some two phase problems of compressible and incompressible viscous fluids’ flow without surface tension under the assumption that the initial domain is a uniform Wq2−1/q domain in RN (N≥2). We prove the local in the time unique
Takayuki Kubo, Yoshihiro Shibata
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Convective two-layered flow and temperature distribution through an inclined porous medium in a rotating system [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2020 The convective motion of two incompressible viscous fluids that are different in thermal conductivities, viscosities and densities with heat transfer aspects in a rotating inclined channel, in which the pressure gradient is kept constant, is studied ...
Karuna Sree Chitturi +2 more
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Nonlinear instability for nonhomogeneous incompressible viscous fluids [PDF]
Science China Mathematics, 2013 We investigate the nonlinear instability of a smooth steady density profile solution of the threedimensional nonhomogeneous incompressible Navier-Stokes equations in the presence of a uniform gravitational field, including a Rayleigh-Taylor steady-state solution with heavier density with increasing height (referred to the Rayleigh-Taylor instability ...
Jiang, Fei, Jiang, Song, Ni, GuoXi
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Traveling Waves of Some Symmetric Planar Flows of Non-Newtonian Fluids [PDF]
Journal of Applied and Computational Mechanics, 2019 We present some variants of Burgers-type equations for incompressible and isothermal planar flow of viscous non-Newtonian fluids based on the Cross, the Carreau and the power-law rheology models, and on a symmetry assumption on the flow.
Dongming Wei, Yupeng Shu
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On Rayleigh–Taylor instability in Navier–Stokes–Korteweg equations
Journal of Inequalities and Applications, 2023 This paper focuses on the Rayleigh–Taylor instability in the two-dimensional system of equations of nonhomogeneous incompressible viscous fluids with capillarity effects in a horizontal periodic domain with infinite height.
Xuyan Zhang, Fangfang Tian, Weiwei Wang
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Revisiting plane Couette-Poiseuille flows of a piezo-viscous fluid [PDF]
, 2008 We re-examine fully developed isothermal unidirectional plane Couette-Poiseuille flows of an incompressible fluid whose viscosity depends linearly on the pressure as previously considered in Hron et al 2001.
Suslov, Sergey A., Tran, Thien Duc
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