Results 31 to 40 of about 3,244,761 (335)
Blow-up or no blow-up? A unified computational and analytic approach to 3D incompressible Euler and Navier–Stokes equations [PDF]
Acta Numerica, 2009 Whether the 3D incompressible Euler and Navier–Stokes equations can develop a finite-time singularity from smooth initial data with finite energy has been one of the most long-standing open questions. We review some recent theoretical and computational studies which show that there is a subtle dynamic depletion of nonlinear vortex stretching due to ...
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On Unique Continuation for Navier-Stokes Equations
Abstract and Applied Analysis, 2015 We study the unique continuation properties of solutions of the Navier-Stokes equations. We take advantage of rotation transformation of the Navier-Stokes equations to prove the “logarithmic convexity” of certain quantities, which measure the suitable ...
Zhiwen Duan, Shuxia Han, Peipei Sun
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Lid-driven cavity flow using dual reciprocity [PDF]
MATEC Web of Conferences, 2020 The paper presents the use of the multi-domain dual reciprocity method of fundamental solutions (MD-MFSDR) for the analysis of the laminar viscous flow problem described by Navier-Stokes equations.
Mužík Juraj, Bulko Roman
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Interpolation, extrapolation, Morrey spaces and local energy control for the Navier--Stokes equations [PDF]
, 2019 Barker recently proved new weak-strong uniqueness results for the Navier-Stokes equations based on a criterion involving Besov spaces and a proof through interpolation between Besov-H{\"o}lder spaces and L 2.
Lemarié-Rieusset, Pierre Gilles
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Wild solutions of the Navier–Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1 [PDF]
Journal of the European Mathematical Society (Print), 2018 We prove non-uniqueness for a class of weak solutions to the Navier-Stokes equations which have bounded kinetic energy, integrable vorticity, and are smooth outside a fractal set of singular times with Hausdorff dimension strictly less than 1.
T. Buckmaster, Maria Colombo, V. Vicol
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, 2010 We study some particular solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure, in radial symmetry. With extension of the previous known blowup solutions for the Euler-Poisson equations / pressureless Navier ...
Hei, Yeung Ling, Manwai, Yuen
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Navier-Stokes Equations with Potentials
Abstract and Applied Analysis, 2007 We study Navier-Stokes equations perturbed with a maximal monotone operator, in a bounded domain, in 2D and 3D. Using the theory of nonlinear semigroups, we prove existence results for strong and weak solutions. Examples are also provided.
Adriana-Ioana Lefter
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Results on existence for generalized nD Navier-Stokes equations
Open Mathematics, 2019 In this paper we consider a class of nD Navier-Stokes equations of Kirchhoff type and prove the global existence of solutions by using a new approach introduced in [Jday R., Zennir Kh., Georgiev S.G., Existence and smoothness for new class of n ...
Zennir Khaled
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Almost Periodic Solutions and Global Attractors of Non-autonomous Navier-Stokes Equations
, 2004 The article is devoted to the study of non-autonomous Navier-Stokes equations. First, the authors have proved that such systems admit compact global attractors.
Cheban, David, Duan, Jinqiao
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Mathematics, 2023 In this paper, we first present an overview of the results related to energy conservation in spaces of Hölder-continuous functions for weak solutions to the Euler and Navier–Stokes equations.
Luigi C. Berselli
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