GLOBAL SOLUTION TO 1D MODEL OF A COMPRESSIBLE VISCOUS MICROPOLAR HEAT-CONDUCTING FLUID WITH A FREE BOUNDARY

doi:10.1016/S0252-9602(16)30090-X

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (6): 1541-1576.doi: 10.1016/S0252-9602(16)30090-X

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GLOBAL SOLUTION TO 1D MODEL OF A COMPRESSIBLE VISCOUS MICROPOLAR HEAT-CONDUCTING FLUID WITH A FREE BOUNDARY

Nermina MUJAKOVIC¹, Nelida CRNJARIC-ZIC²

1. Department of Mathematics, University of Rijeka, Radmile Matej?i? 2, Rijeka 51000, Croatia;
2. Section of Applied Mathematics, Faculty of Engineering, University of Rijeka, Vukovarska 58, Rijeka 51000, Croatia

收稿日期:2015-03-10 修回日期:2016-04-29 出版日期:2016-12-25 发布日期:2016-12-25
作者简介:Nermina MUJAKOVIC;,E-mail:nmujakovic@math.uniri.hr;Nelida CRNJARIC-ZIC,E-mail:nelida@riteh.hr
基金资助:
This work was supported by Scientific Research of the University of Rijeka (13.14.1.3.03).

GLOBAL SOLUTION TO 1D MODEL OF A COMPRESSIBLE VISCOUS MICROPOLAR HEAT-CONDUCTING FLUID WITH A FREE BOUNDARY

Nermina MUJAKOVIC¹, Nelida CRNJARIC-ZIC²

1. Department of Mathematics, University of Rijeka, Radmile Matejcic 2, Rijeka 51000, Croatia;
2. Section of Applied Mathematics, Faculty of Engineering, University of Rijeka, Vukovarska 58, Rijeka 51000, Croatia

Received:2015-03-10 Revised:2016-04-29 Online:2016-12-25 Published:2016-12-25
Supported by:
This work was supported by Scientific Research of the University of Rijeka (13.14.1.3.03).

摘要/Abstract

摘要：

In this paper we consider the nonstationary 1D flow of the compressible viscous and heat-conducting micropolar fluid, assuming that it is in the thermodynamically sense perfect and polytropic. The fluid is between a static solid wall and a free boundary connected to a vacuum state. We take the homogeneous boundary conditions for velocity, microrotation and heat flux on the solid border and that the normal stress, heat flux and microrotation are equal to zero on the free boundary. The proof of the global existence of the solution is based on a limit procedure. We define the finite difference approximate equations system and construct the sequence of approximate solutions that converges to the solution of our problem globally in time.

关键词: micropolar fluid flow, initial-boundary value problem, free boundary, finite difference approximations, strong and weak convergence

Abstract:

Key words: micropolar fluid flow, initial-boundary value problem, free boundary, finite difference approximations, strong and weak convergence

中图分类号:

35Q35

Nermina MUJAKOVIC, Nelida CRNJARIC-ZIC. GLOBAL SOLUTION TO 1D MODEL OF A COMPRESSIBLE VISCOUS MICROPOLAR HEAT-CONDUCTING FLUID WITH A FREE BOUNDARY[J]. 数学物理学报(英文版), 2016, 36(6): 1541-1576.

Nermina MUJAKOVIC, Nelida CRNJARIC-ZIC. GLOBAL SOLUTION TO 1D MODEL OF A COMPRESSIBLE VISCOUS MICROPOLAR HEAT-CONDUCTING FLUID WITH A FREE BOUNDARY[J]. Acta mathematica scientia,Series B, 2016, 36(6): 1541-1576.

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GLOBAL SOLUTION TO 1D MODEL OF A COMPRESSIBLE VISCOUS MICROPOLAR HEAT-CONDUCTING FLUID WITH A FREE BOUNDARY

GLOBAL SOLUTION TO 1D MODEL OF A COMPRESSIBLE VISCOUS MICROPOLAR HEAT-CONDUCTING FLUID WITH A FREE BOUNDARY

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