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REGULARITY CRITERIA FOR THE p-HARMONIC AND OSTWALD-DE WAELE FLOWS
Jishan Fan,나까무라,Yong Zhou 대한수학회 2015 대한수학회보 Vol.52 No.2
This paper considers regularity for the p-harmonic and Ostwald-de Waele flows. Some Serrin’s type regularity criteria are established for 1 < p < 2.
Jishan Fan,Yuxi Hu,Gen Nakamura 대한수학회 2020 대한수학회보 Vol.57 No.4
In this paper we prove the local existence of strong solutions to an isentropic compressible Navier-Stokes-$P1$ approximate model arising in radiation hydrodynamics in a bounded domain with vacuum.
Ahmed, Jishan Department of Mathematics 2017 Kyungpook mathematical journal Vol.57 No.4
Some computational fluid dynamics problems concerning the thin films flow of viscous fluid with a free surface and draining or coating fluid-flow problems can be delineated by third-order ordinary differential equations. In this paper, the aim is to introduce the numerical solutions of the boundary value problems of such equations by variational iteration method. In this paper, it is shown that the third-order boundary value problems can be written as a system of integral equations, which can be solved by using the variational iteration method. These solutions are gleaned in terms of convergent series. Numerical examples are given to depict the method and their convergence.
REGULARITY CRITERIA FOR THE p-HARMONIC AND OSTWALD-DE WAELE FLOWS
Fan, Jishan,Nakamura, Gen,Zhou, Yong Korean Mathematical Society 2015 대한수학회보 Vol.52 No.2
This paper considers regularity for the p-harmonic and Ostwald-de Waele flows. Some Serrin's type regularity criteria are established for 1 < p < 2.
Fan, Jishan,Hu, Yuxi,Nakamura, Gen Korean Mathematical Society 2020 대한수학회보 Vol.57 No.4
In this paper we prove the local existence of strong solutions to an isentropic compressible Navier-Stokes-P1 approximate model arising in radiation hydrodynamics in a bounded domain with vacuum.
Liping Zhao,Jishan Qiu,Xiaojun Cao,Wenyong Dong,Jichun You,Yongjin LI 한국고분자학회 2013 Macromolecular Research Vol.21 No.4
We present a facile strategy, for the first time as the best of our known, to prepare high conducting poly(3,4-ethylenedioxythiophene)/poly(4-styrenesulfonate) (PEDOT:PSS) film with a novel nanoporous morphology directly from a commercial PEDOT:PSS dispersion. Both conducting properties and surface morphology of PEDOT:PSS film can be systematically tunable by simply controlling addition of an ionic liquid, 1,3-dihydroxy-2-methylimidazolium bis(trifluoromethylsulfonyl)-imide (DHIL). The electrical conductivity increases from 0.07 for pristine PEDOT:PSS to 55 S cm-1 after addition of 2 wt% DHIL, with no necessary of any further heat treatment, which is around 800 times increase in the electrical conductivity. On the other hand, the discrete compact PEDOT:PSS film is gradually transformed into the nanoporous film with addition of DHIL. It is considered that such size-tunable porous PEDOT:PSS films with high surface area as well as high conductivity combining solution-processibility show great potential in applications that require high interfacial area, such as flexible electronic components, nextgeneration catalytic, and separation supports.