Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Wojciech M. Zaja̧czkowski"'
Publikováno v:
Mathematics, Vol 12, Iss 17, p 2614 (2024)
The motion of viscous incompressible magnetohydrodynamics (MHD) is considered in a domain that is bounded by a free surface. The motion interacts through the free surface with an electromagnetic field located in a domain exterior to the free surface
Externí odkaz:
https://doaj.org/article/b2b1a158ad6c4cdfa00257a5831d3b24
Autor:
Wojciech M. Zaja̧czkowski
Publikováno v:
Mathematics, Vol 11, Iss 23, p 4731 (2023)
The axially symmetric solutions to the Navier–Stokes equations are considered in a bounded cylinder Ω⊂R3 with the axis of symmetry. S1 is the boundary of the cylinder parallel to the axis of symmetry and S2 is perpendicular to it. We have two pa
Externí odkaz:
https://doaj.org/article/5c722b4302094a02b7167081b677f4e9
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:6259-6281
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::58648d93dafdc05e5facb29b1967d5f2
https://doi.org/10.1002/mma.7156
https://doi.org/10.1002/mma.7156
Autor:
Wojciech M. Zajaczkowski
Publikováno v:
Applicationes Mathematicae. 46:155-173
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f51133001fd9006eecdde2bac4cbeb8
https://doi.org/10.4064/am2309-8-2018
https://doi.org/10.4064/am2309-8-2018
The existence of solutions to some initial-boundary value problem for the Stokes system is proved. The result is shown in Sobolev-Slobodetskii spaces such that the velocity belongs to $W_r^{2+\sigma,1+\sigma/2}(\Omega^T)$ and gradient of pressure to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbd50286220d23294c20be32c2c47fb1
Publikováno v:
Journal of Mathematical Fluid Mechanics. 20:1013-1034
We investigate the problem of the existence of regular solutions to the three-dimensional MHD equations in cylindrical domains with perfectly conducting boundaries and under the Navier boundary conditions for the velocity field. We show that if the i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a3dbdf184a4e5c45be64b658dfff613
https://doi.org/10.1007/s00021-017-0353-2
https://doi.org/10.1007/s00021-017-0353-2
Publikováno v:
Acta Applicandae Mathematicae. 152:147-170
In this paper we prove existence of global strong-weak two-dimensional solutions to the Navier-Stokes and heat equations coupled by the external force dependent on temperature and the heat dissipation, respectively. The existence is proved in a bound
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::104cc52efc35409e26dcc9e161a87dce
https://doi.org/10.1007/s10440-017-0116-3
https://doi.org/10.1007/s10440-017-0116-3
Autor:
Wojciech M. Zajaczkowski
Publikováno v:
Journal of Mathematical Analysis and Applications. 444:275-297
The Navier–Stokes motions in a cylindrical domain with Navier boundary conditions are considered. First the existence of global regular two-dimensional solutions is proved. The solutions are such that norms bounded with respect to time are controll
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::535cd87a8517f4fa023d48959661f337
https://doi.org/10.1016/j.jmaa.2016.05.059
https://doi.org/10.1016/j.jmaa.2016.05.059
Publikováno v:
Journal of Mathematical Fluid Mechanics. 21
We point out some criteria that imply regularity of axisymmetric solutions to Navier-Stokes equations. We show that boundedness of $\|{v_{r}}/{\sqrt{r^3}}\|_{L_2({\rm R}^3\times (0,T))}$ as well as boundedness of $\|{\omega_{\varphi}}/{\sqrt{r}}\|_{L
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6ee56682495bd26084e21789721b873
https://doi.org/10.1007/s00021-019-0447-0
https://doi.org/10.1007/s00021-019-0447-0
This monograph considers the motion of incompressible fluids described by the Navier-Stokes equations with large inflow and outflow, and proves the existence of global regular solutions without any restrictions on the magnitude of the initial velocit