Long time estimate of solutions to 3d Navier-Stokes equations coupled with heat convection

• Autorzy: Jolanta Socała , Wojciech M. Zajączkowski
• Języki publikacji: EN

Abstrakty

EN

We examine the Navier-Stokes equations with homogeneous slip boundary conditions coupled with the heat equation with homogeneous Neumann conditions in a bounded domain in ℝ³. The domain is a cylinder along the x₃ axis. The aim of this paper is to show long time estimates without assuming smallness of the initial velocity, the initial temperature and the external force. To prove the estimate we need however smallness of the L₂ norms of the x₃-derivatives of these three quantities.

Kategorie tematyczne

• 76D03: Existence, uniqueness, and regularity theory
• 35K05: Heat equation
• 76D05: Navier-Stokes equations
• 35K20: Initial-boundary value problems for second-order parabolic equations
• 35Q30: Navier-Stokes equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2012
• Tom: 39
• Numer: 1
• Strony: 23-41

Daty

wydano

2012

Twórcy

autor

Jolanta Socała

• State Higher Vocational School in Racibórz, Słowacki St. 55, 47-400 Racibórz, Poland

autor

Wojciech M. Zajączkowski

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland
• Institute of Mathematics and Cryptology, Cybernetics Faculty, Military University of Technology, Kaliskiego 2, 00-908 Warszawa, Poland

Identyfikatory

DOI

10.4064/am39-1-2