Zobrazeno 1 - 10
of 258
pro vyhledávání: '"35Q30, 76D03"'
We establish various results concerning the uniqueness of zero velocity solutions for the static barotropic Navier--Stokes system. Some of them can be seen as Liouville-type theorems for problems in unbounded physical space.
Comment: 27 pages
Comment: 27 pages
Externí odkaz:
http://arxiv.org/abs/2412.17585
Autor:
Mitrovic, Darko
We prove existence of smooth solutions to the Navier-Stokes equations with divergence free Schwartz initial data. We demonstrate the latter by considering an (implicit) iterative procedure involving solutions to the Navier-Stokes equations approximat
Externí odkaz:
http://arxiv.org/abs/2411.02568
We investigate the global unique Fujita-Kato solution to the 3-D inhomogeneous incompressible Navier-Stokes equations with initial velocity $u_0$ being sufficiently small in critical spaces and with initial density being bounded from above and below.
Externí odkaz:
http://arxiv.org/abs/2410.09386
Autor:
Liao, Xian, Zimmermann, Rebekka
We establish the global-in-time well-posedness of the two-dimensional incompressible Navier-Stokes equations with freely transported viscosity coefficient, under a scaling-invariant smallness condition on the initial data. The viscosity coefficient i
Externí odkaz:
http://arxiv.org/abs/2409.06517
Autor:
Yang, Qixiang, Li, Hongwei
Publikováno v:
SCIENCE CHINA Mathematics (2024)
Inspired by Caffarelli-Kohn-Nirenberg, Fefferman and Lin, we try to investigate how to control the set of large value points for the strong solution of Navier-Stokes equations. Besov-Lorentz spaces have multiple indices which can reflect complex chan
Externí odkaz:
http://arxiv.org/abs/2407.04107
Autor:
Galdi, Giovanni P., Yamamoto, Tatsuki
We study the nonhomogeneous boundary value problem for the steady-state Navier-Stokes equations under the slip boundary conditions in two-dimensional multiply-connected bounded domains. Employing the approach of Korobkov-Pileckas-Russo (Ann. Math. 18
Externí odkaz:
http://arxiv.org/abs/2403.00164
The nonhomogeneous Navier-Stokes equations are considered in a cylindrical domain in ${\mathbb R}^3$, parallel to the $x_3$-axis with large inflow and outflow on the top and the bottom. Moreover, on the lateral part of the cylinder the slip boundary
Externí odkaz:
http://arxiv.org/abs/2402.04793
Autor:
Niu, Dongjuan, Wang, Lu
The issue of global well-posedness for the 3D inhomogenous incompressible Navier-Stokes equations was first addressed by Kazhikov in 1974. In this manuscript, we obtain its global well-posedness for the system with density-dependent viscosity under t
Externí odkaz:
http://arxiv.org/abs/2401.13265
We propose a modification to the nonlinear term of the three-dimensional incompressible Navier-Stokes equations (NSE) in either advective or rotational form which "calms" the system in the sense that the algebraic degree of the nonlinearity is effect
Externí odkaz:
http://arxiv.org/abs/2312.17371
In this paper, we establish the global existence and uniqueness of solution to $2$-D inhomogeneous incompressible Navier-Stokes equations \eqref{1.2} with initial data in the critical spaces. Precisely, under the assumption that the initial velocity
Externí odkaz:
http://arxiv.org/abs/2312.03990