2015
DOI: 10.1016/j.na.2015.05.014
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Stability of two-dimensional heat-conducting incompressible motions in a cylinder

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Cited by 4 publications
(5 citation statements)
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“…The existence of these solutions is proved in Section 3. In Lemmas 3.1 and 3.2, applying the step by step in time arguments from [ZZ1,ZZ2,Z1,Z2] we find a global estimate for…”
mentioning
confidence: 89%
See 1 more Smart Citation
“…The existence of these solutions is proved in Section 3. In Lemmas 3.1 and 3.2, applying the step by step in time arguments from [ZZ1,ZZ2,Z1,Z2] we find a global estimate for…”
mentioning
confidence: 89%
“…Assuming that the external forces do not vanish in time, we are looking for solutions non-decaying in time. This is the reason why the step by step in time technique is used (see [ZZ1,ZZ2,Z1,Z2]). This approach enables one to prove existence of stationary solutions via stability.…”
mentioning
confidence: 99%
“…In paper [22] we proved the existence of a strong global solution to (1) 1,2,3,6,7 with the slip boundary conditions for velocity which are close for all time to a two-dimensional solution.…”
Section: Introductionmentioning
confidence: 95%
“…We have to emphasize that derivation of the differential inequality (4.2) for magnetohydrodynamics equations is far from trivial. The technique presented in this paper was already developed in [16,17,14,15].…”
Section: Wojciech M Zaja Czkowskimentioning
confidence: 99%
“…Then the equations describing axially-symmetric incompressible viscous magnetohydrodynamics have the form 15) where…”
Section: Wojciech M Zaja Czkowskimentioning
confidence: 99%