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Initial value problem for the Newtonian boussinesq approximation with power-law type nonlinear viscous fluid

JAE-MYOUNG KIM
장전수학회 (Jangjeon Mathematical Society)|2022.01|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제25권 제1호|pp. 69-74|DOI 10.17777/pjms.2022.25.1.007

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키워드

existencenon-Newtonian fluidBoussinesq approximation flows
주제분류수학

초록

We show the existence of solutions to Newtonian Boussinesq approx-imation with the power-law type nonlinear viscous fluid in dimension three with p≥ 20/9 in the three-dimensional domains with periodic boundary conditions.

Abstract

We show the existence of solutions to Newtonian Boussinesq approx-imation with the power-law type nonlinear viscous fluid in dimension three with p≥ 20/9 in the three-dimensional domains with periodic boundary conditions.

참고문헌 (11)

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  8. J. Malek, "Weak and Measure-valued Solutions to Evolu-tionary PDEs" (1996), Chapman & Hall
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  10. W. L. Wilkinson, "Non-Newtonian uids: Fluid mechanics, mixing and heat transfer" (1960), Pergamon Press
  11. W. Yan, "Existence of weak solutions to the three-dimensional density-dependent generalized incompressible magnetohydrodynamic ows. Discrete Contin", Dyn. Syst, 35(3), pp.1359~1385 (2015)

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