Global Weak Solutions to the Navier-Stokes-Vlasov-Poisson System [PDF]
, 2021 We consider the Navier-Stokes-Vlasov-Poisson system describing the flow of a viscous incompressible fluid containing small solid charged particles.
Khruslov, Evgeny +2 more
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A sequential regularization method for time-dependent incompressible Navier--Stokes equations [PDF]
, 1997 The objective of the paper is to present a method, called the sequential regularization method (SRM), for the nonstationary incompressible Navier--Stokes equations from the viewpoint of regularization of differential-algebraic equations (DAEs), and to ...
Lin, Ping
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Nonlocal Navier-Stokes problem with a small parameter [PDF]
, 2013 Initial nonlocal boundary value problems for a Navier-Stokes equation with a small parameter is considered. The uniform maximal regularity properties of the corresponding stationary Stokes operator, well-posedness of a nonstationary Stokes problem and ...
Shakhmurov, Veli B., Veli B Shakhmurov
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Intermittency and regularity issues in 3D Navier-Stokes turbulence [PDF]
, 2005 Two related open problems in the theory of 3 D Navier-Stokes turbulence are discussed in this paper. The first is the phenomenon of intermittency in the dissipation field.
Gibbon, J. D. +5 more
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Proper general decomposition (PGD) for the resolution of Navier–Stokes equations [PDF]
, 2011 In this work, the PGD method will be considered for solving some problems of fluid mechanics by looking for the solution as a sum of tensor product functions. In the first stage, the equations of Stokes and Burgers will be solved. Then, we will solve the
ALLERY, Cyrille +5 more
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Proper Generalized Decomposition method for incompressible Navier–Stokes equations with a spectral discretization [PDF]
, 2013 http://dx.doi.org/10.1016/j.amc.2013.02.022Proper Generalized Decomposition (PGD) is a method which consists in looking for the solution to a problem in a separate form.
ALLERY, Cyrille +2 more
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Regularity of solutions to the Navier-Stokes equations
, 2020 The present paper contains some microlocal regularity theorems for the solutions of the stationary and nonstationary Navier-Stokes ...
Shananin N.A.
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Approximation of Bayesian inverse problems for PDEs [PDF]
, 2010 Inverse problems are often ill posed, with solutions that depend sensitively on data. In any numerical approach to the solution of such problems, regularization of some form is needed to counteract the resulting instability.
Dashti, Massoumeh +6 more
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A remark on a Liouville problem with boundary for the Stokes and the Navier-Stokes equations [PDF]
, 2011 We construct a Poiseuille type ow which is a bounded entire solution of the nonstationary Navier-Stokes and the Stokes equations in a half space with non-slip boundary condition.
GIGA, YOSHIKAZU
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Adaptive time-stepping for incompressible flow. Part II: Navier-Stokes equations [PDF]
, 2010 We outline a new class of robust and efficient methods for solving the Navier–Stokes equations. We describe a general solution strategy that has two basic building blocks: an implicit time integrator using a stabilized trapezoid rule with an explicit ...
Kay, David A. +5 more
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