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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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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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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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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Modelling of the fluid flow in a thin domain with injection through permeable boundary
European Journal of Applied MathematicsIn this paper, we derive the effective model describing a thin-domain flow with permeable boundary through which the fluid is injected into the domain. We start with incompressible Stokes system and perform the rigorous asymptotic analysis.
Eduard Marušić-Paloka, Igor Pažanin
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Neural-Inspired Spectral–Temporal Continuation for Smooth Global Navier–Stokes Solutions on T³ [PDF]
Recent advances demonstrate that generative adversarial networks can approximate fluid flows by reframing computational fluid dynamics as image-to-image translation, and motivated by continuity mechanisms in transformer architectures that maintain ...
Camlin, Jeffrey
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On the global large regular solutions of the 1D degenerate compressible Navier-Stokes equations
Advances in Nonlinear AnalysisWhen the viscosity coefficients depend on the mass density ρ\rho in the power ρδ(δ>0){\rho }^{\delta }\left(\delta \gt 0), the existence of smooth solutions with vacuum of the compressible Navier-Stokes equations have received extensive attentions in ...
Cao Yue, Jiang Xun, Xi Shuai
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Two-Level Finite Element Iterative Algorithm Based on Stabilized Method for the Stationary Incompressible Magnetohydrodynamics. [PDF]
Entropy (Basel), 2022 Tang Q, Hou M, Xiao Y, Yin L.
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PSEUDOSPECTRAL SOLUTION OF THE TWO-DIMENSIONAL NAVIER{STOKES EQUATIONS IN A DISK [PDF]
, 1999 AMS subject classifcations. 76D05, 35Q30, 65M70, 65N35 PII. S1064827597330157An efficient and accurate algorithm for solving the two-dimensional (2D) incompressible Navier-Stokes equations on a disk with no-slip boundary conditions is described.
Torres, David J., Coutsias, Evangelos A.
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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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