The Helmholtz decomposition in arbitrary unbounded domains - a theory beyond [PDF]
, 2005 . It is well known that the usual Lq-theory of the Stokes operator valid for bounded or exterior domains cannot be extended to arbitrary unbounded domains Ω ⊂ Rn when q 6 = 2.
Kozono, Hideo +5 more
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Energy Bounds for the Two-Dimensional Navier-Stokes Equations in an Infinite Cylinder
, 2014 International audienceWe consider the incompressible Navier-Stokes equations in the cylinder R × T, with no exterior forcing, and we investigate the long-time behavior of solutions arising from merely bounded initial data.
Slijepcevic, Sinisa, Gallay, Thierry
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Numerical simulation of a flow past an elliptic cylinder at moderately high Reynolds numbers
, 2020 In this paper we analyze a two-dimensional laminar flow past an elliptic cylinder in case the major axis is parallel to the flow. Attention is limited in high speed regions under a subcritical condition, using a potential function of series type ...
Daisuke Akita, Yoshihiro Mochimaru
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Remarks on analytical solutions to compressible Navier–Stokes equations with free boundaries
Advanced Nonlinear StudiesIn this paper, we consider the free boundary problem of the radially symmetric compressible Navier–Stokes equations with viscosity coefficients of the form μ(ρ) = ρ θ, λ(ρ) = (θ − 1)ρ θ in RN ${\mathbb{R}}^{N}$ .
Dong Jianwei, Yuen Manwai
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, 2014 Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」2010 Mathematics Subject Classification Numbers. 35Q30, 76N15.This paper is concerned with the convergence rates of the global strong solutions to
Okita, Masatoshi, 沖田, 匡聡
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Well/ill-posedness for the dissipative Navier–Stokes system in generalized Carleson measure spaces
Advances in Nonlinear Analysis, 2017 As an essential extension of the well known case β∈(12,1]{\beta\kern-1.0pt\in\kern-1.0pt({\frac{1}{2}},1]} to the hyper-dissipative case β∈(1,∞){\beta\kern-1.0pt\in\kern-1.0pt(1,\infty)}, this paper establishes both well-posedness and ill-posedness (not ...
Wang Yuzhao, Xiao Jie
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Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics
Forum of Mathematics, SigmaThis paper is devoted to the global analysis of the three-dimensional axisymmetric Navier–Stokes–Maxwell equations. More precisely, we are able to prove that, for large values of the speed of light $c\in (c_0, \infty )$ , for some threshold ...
Diogo Arsénio +2 more
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Maximal Lp -Lq regularity to the Stokes problem with Navier boundary conditions
Advances in Nonlinear Analysis, 2017 We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor.
Al Baba Hind
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Smooth imploding solutions for 3D compressible fluids
Forum of Mathematics, PiBuilding upon the pioneering work of Merle, Raphaël, Rodnianski and Szeftel [67, 68, 69], we construct exact, smooth self-similar imploding solutions to the 3D isentropic compressible Euler equations for ideal gases for all adiabatic exponents ...
Tristan Buckmaster +2 more
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Local and global solvability for the Boussinesq system in Besov spaces
Open MathematicsThis article focuses on local and global existence and uniqueness for the strong solution to the Boussinesq system in Rn{{\mathbb{R}}}^{n} (n≥3n\ge 3) with full viscosity in Besov spaces.
Yan Shuokai, Wang Lu, Zhang Qinghua
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