Optimality of Serrin type extension criteria to the Navier-Stokes equations
Advances in Nonlinear Analysis, 2021 We prove that a strong solution u to the Navier-Stokes equations on (0, T) can be extended if either u ∈ Lθ(0, T; U˙∞,1/θ,∞−α$\begin{array}{} \displaystyle \dot{U}^{-\alpha}_{\infty,1/\theta,\infty} \end{array}$) for 2/θ + α = 1, 0 < α < 1 or u ∈ L2(0, T;
Farwig Reinhard, Kanamaru Ryo
doaj +1 more source
Development of local, global, and trace estimates for the solutions of elliptic equations
, 2001 Abstract and Applied Analysis, Volume 6, Issue 3, Page 131-150, 2001.
Moulay D. Tidriri
wiley +1 more source
Spatially-Periodic Solutions for Evolution Anisotropic Variable-Coefficient Navier–Stokes Equations: I. Weak Solution Existence [PDF]
Data Availability Statement: This paper has no associated data.MSC: 35A1; 35B10; 35K45; 35Q30; 76D05.We consider evolution (non-stationary) spatially-periodic solutions to the n-dimensional non-linear Navier–Stokes equations of anisotropic fluids with ...
Mikhailov, SE
core +1 more source
Nash embedding, shape operator and Navier-Stokes equation on a Riemannian manifold
, 2019 What is the suitable Laplace operator on vector fields for the Navier-Stokes equation on a Riemannian manifold? In this note, by considering Nash embedding, we will try to elucidate different aspects of different Laplace operators such as de Rham-Hodge ...
Fang, Shizan
core +1 more source
On the Regularity Properties of the Pressure Field Associated to a Hopf Weak Solution to the Navier-Stokes Equations [PDF]
, 2014 2000 Mathematics Subject Classification: 76D05, 35Q30 ...
Mauro, Jimmy Alfonso
core
Partial Regularity of Hopf Weak Solutions of the Navier-Stokes Equations, which Satisfy a Suitable Extra-Condition [PDF]
, 2018 We estimate the Hausdorff dimension of the set S of the possible singular points, associated to a Hopf weak solution which satisfies a suitable extracondition.
Mauro, Jimmy Alfonso
core
SOME CONTROLLABILITY RESULTS FOR LINEARIZED COMPRESSIBLE NAVIER-STOKES SYSTEM. [PDF]
, 2015 . In this article, we study the null controllability of linearized compressible Navier-Stokes system in one and two dimension. We first study the one-dimensional compressible Navier-Stokes system for non-barotropic fluid linearized around a constant ...
Debayan Maity, Maity, Debayan
core +1 more source
Estimates in Morrey-Campanato Spaces of a Suitable Weak Solution of the Navier-Stokes Equations, Satisfying an Extra-Condition [PDF]
, 2019 We consider a study of regularity, by means of the theory of Morrey-Campanato spaces, of suitable weak solutions of the Cauchy problem for the non-stationary Navier-Stokes equations, which satisfy a suitable extra-condition. According to what is known at
Mauro, Jimmy Alfonso
core
Heat Transfer Analysis from an Elliptic Cylinder at Moderately High Reynolds Number Flows [PDF]
, 2015 Heat transfer from an elliptic cylinder placed normal to a uniform flow at moderately high Reynolds numbers is analyzed, using a spectral finite difference scheme.
Akita, Daisuke, Mochimaru, Yoshihiro
core
, 2018 We study the stabilization of solutions to a 2d fluid-structure system by a feedback control law acting on the acceleration of the structure. The structure is described by a finite number of parameters.
Delay, Guillaume
core +1 more source