• Bulletin of the Korean Mathematical Society
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• v.50 no.1
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• pp.37-56
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• 2013

This paper deals with the behavior of positive solutions to the following nonlocal polytropic filtration system $$\{u_t=(\mid(u^{m_1})_x{\mid}^{{p_1}^{-1}}(u^{m_1})_x)_x+u^{l_{11}}{{\int_0}^a}v^{l_{12}}({\xi},t)d{\xi},\;(x,t)\;in\;[0,a]{\times}(0,T),\\{v_t=(\mid(v^{m_2})_x{\mid}^{{p_2}^{-1}}(v^{m_2})_x)_x+v^{l_{22}}{{\int_0}^a}u^{l_{21}}({\xi},t)d{\xi},\;(x,t)\;in\;[0,a]{\times}(0,T)}$$ with nonlinear boundary conditions $u_x{\mid}{_{x=0}}=0$, $u_x{\mid}{_{x=a}}=u^{q_{11}}u^{q_{12}}{\mid}{_{x=a}}$, $v_x{\mid}{_{x=0}}=0$, $v_x|{_{x=a}}=u^{q21}v^{q22}|{_{x=a}}$ and the initial data ($u_0$, $v_0$), where $m_1$, $m_2{\geq}1$, $p_1$, $p_2$ > 1, $l_{11}$, $l_{12}$, $l_{21}$, $l_{22}$, $q_{11}$, $q_{12}$, $q_{21}$, $q_{22}$ > 0. Under appropriate hypotheses, the authors establish local theory of the solutions by a regularization method and prove that the solution either exists globally or blows up in finite time by using a comparison principle.

• Journal of Integrative Natural Science
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• v.10 no.1
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• pp.14-19
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• 2017

Neuromedin, a neuropeptide, which is involved in various functions that include contractile activity on smooth muscle, controlling the blood flow and ion transport in the intestine, increased blood pressure and regulation of adrenocortical function. It is involved in the pathophysiology of various immune mediated inflammatory diseases like asthma. In this study, we have performed protein-protein docking analysis of neuromedin U - neuromedin U receptor 1 complex. We have developed homology models of neuromedin U, and selected a reliable model using model validation. The model was docked with the receptor model, to analyse the crucial interactions of the complex. This study could be helpful as a tool in developing novel and potent drugs for the diseases related with neuromedin U receptor 1.

• Journal of the korean Society of Automotive Engineers
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• v.2 no.1
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• pp.21-31
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• 1980

Two phase boundary layer equations of laminar filmwise condensation are solved by an approximate integral method under the following condition; saturated vapour flows vertically downward over a cooled surface of uniform temperature, the condensate film is so thin that the inertia and convection terms are neglected. The following conclusions are drawn under the above assumptions. 1. free convection In case of the linear temperature profile in a liquid film, numerical results for the average coefficients of heat transfer may be expressed as N $u_{m}$=4/3,(G $r_{l}$ /4.H)$^{1}$4/ and in case of the quadratic profile, numerical results may be expressed as N $u_{m}$=2/1.682,(G $r_{l}$ /H)$^{1}$4/. 2. Forced convection When the temperature profile is assumed to be linear in a liquid film, numerical results fir the average heat transfer coefficients may be expressed as N $u_{m}$=(A, R $e_{l}$ /H)$^{1}$2/. This expression is compared with the experimental results hitherto reported; For theoretical Nusselt number (N $u_{m}$)$_{th}$<2*10$^{4}$, the experimental Nusselt number (N $u_{m}$)$_{exp}$ is on the average larger than theoretical Nusselt number (N $u_{m}$)$_{th}$ by 30%. For (N $u_{m}$)$_{th}$>2*10$^{4}$, experimental Nusselt number (N $u_{m}$)$_{exp}$ is about 1.6 times as large as theoretical Nusselt number (N $u_{m}$)$_{th}$. These large deviation may be caused by the presence of turbulence in the liquid film. In case of the quadratic temperature profile in a liquid film, numerical results for the average coefficients of heat transfer may be expressed as N $u_{m}$'=(2,A,Re/H)$^{1}$2/. This formular shows that theoretical Nusselt number (N $u_{m}$)$_{th}$ is larger than experimental Nusselt number (N $u_{m}$)$_{exp}$ by 60%. It is speculated that when the temperature difference between cooled surface and saturated vapour is small, temperature profile in a liquid film is quadratic.quadratic.. quadratic.quadratic..atic..

• Communications of the Korean Mathematical Society
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• v.25 no.3
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• pp.327-333
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• 2010

Let R be a 2-torsion free prime ring, U a nonzero Lie ideal of R such that $u^2\;{\in}\;U$ for all $u\;{\in}\;U$. In the present paper, it is proved that if d is a nonzero derivation and [[d(u), u], u] = 0 for all $u\;{\in}\;U$, then $U\;{\subseteq}\;Z(R)$. Moreover, suppose that $d_1$, $d_2$, $d_3$ are nonzero derivations of R such that $d_3(y)d_1(x)\;=\;d_2(x)d_3(y)$ for all x, $y\;{\in}\;U$, then $U\;{\subseteq}\;Z(R)$. Finally, some examples are given to demonstrate that the restrictions imposed on the hypothesis of the above results are not superfluous.

• Korean Journal of Veterinary Research
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• v.31 no.1
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• pp.11-18
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• 1991

The purpose of this study was designed to investigate the methods for the functional elevations of sperm-host (utero-vaginal, U-V) glands in domestic hens. The laying hens were assigned to five groups of low-, medium-, high- fecundity, gonadotrophin-, and caffeinetreated hen groups, these group hens were sacrified at interval after last artificial inseminations (AI). Number of U-V gland observed in tissue preparation of each hen U-V region were investigated, and also the appearance rates of spermatozoa-contained U-V glands were calculated. 1. In low-fecundity hen groups, the appearance rates of spermatozoa-contained U-V glands were found to be 13.5, 15.6, 11.8, 13.6, 2.3, 0, and 0% respectively at the hens of 1, 3, 7, 10, 13, 16, and 19 days after AI. 2. In medium-fecunditiy hen groups, the appearance rates of spermatozoa-contained U-V glands were found to be 21.7, 22.7, 13.4, 10.4, 10.0, 7.7 and 0% respectively at the hens of 1, 3, 7, 10, 13, 16, and 19 days after AI. 3. In high-fecundity hen groups, the appearance rates of spermatozoa-contained U-V glands were found to be 30.8, 31.8, 28.9, 13.0, 10.3, 10.8, and 0.9 respectively at the hen of 1, 3, 7, 10, 13, 16, and 19 days after AI. 4. In gonadotrophin-treated hen groups, the appearance rates of spermatozoa-contained U-V glands were found to be 31.8, 33.7, 32.3, 17.3, 12.0, 5.0, and 1.0% respectively at hens of 1, 3, 7, 10, 13, 16, and 19 days after AI. 5. In caffeine-treated hen groups, the appearance rates of spermatozoa-contained U-V glands were found to be 33.2, 29.2, 22.4, 17.8, 12.7, 0, and 1.1% respectively at hens of 1, 3, 7, 10, 13, 16, and 19 days after AI. 6. The appearance rates of completely filled U-V glands and partially filled U-V glands of spermatozoa-contained U-V glands were found to be 3.8:1. So we suggested as follows: The appearance rates of spermatozoa-contained glands tend to be high from 1 day after AI to 7 days and tend to declined rapidly from 10 days. Also higher fecundity hen groups tend to be higher in the appearance rates and longer in spermatozoa-contained duration in U-V glands than in lower fecundity hen groups. Gonadotrophin hormone tend to increase the appearance rates of spermatozoa-contained U-V glands than those in control group, whereas caffeine tend to increase those rates at 1 day and to declined more rapidly from 3 day than in control group.

• Journal of the Korean Mathematical Society
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• v.34 no.1
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• pp.87-118
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• 1997

This paper is concerned with a mixed Lagrangian formulation of the wiscous, stationary, incompressible Navier-Stokes equations $$ (1.1) -\nu\Delta u + (u \cdot \nabla)u + \nabla_p = f in \Omega $$ and $$ (1.2) \nubla \cdot u = 0 in \Omega $$ along with inhomogeneous Dirichlet boundary conditions on a portion of the boundary $$ (1.3) u = ^{0 on \Gamma_0 _{g on \Gamma_g, $$ where $\Omega$ is a bounded open domain in $R^d, d = 2 or 3$, or with a boundary $\Gamma = \partial\Omega$, which is composed of two disjoint parts $\Gamma_0$ and $\Gamma_g$.

• Journal of the Chungcheong Mathematical Society
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• v.20 no.4
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• pp.551-560
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• 2007

We prove the existence of solutions for the system of the nonlinear biharmonic equations with Dirichlet boundary condition $$\{^{-{\Delta}^2u-c{\Delta}u+{\gamma}(bu^+-av^-)=s{\phi}_1\;in\;{\Omega},\;}_{-{\Delta}^2u-c{\Delta}u+{\delta}(bu^+-av^-)=s{\phi}_1\;in\;{\Omega}}$$, where $u^+$ = max{u, 0}, ${\Delta}^2$ denotes the biharmonic operator and ${\phi}_1$ is the positive eigenfunction of the eigenvalue problem $-{\Delta}$ with Dirichlet boundary condition.

• Journal of the Korean Mathematical Society
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• v.32 no.3
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• pp.483-492
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• 1995

In this paper we discuss the existence and uniqueness of singular solutions for equations of the form $$ (F) u_t = u{xx} - $\mid$u$\mid$^{q-1} u_x - $\mid$u$\mid$^{p-1}u, p,q > 1, $$ in the domain $Q = {(x,t) : x \in R, t > 0}$. This equation represents a model of diffusion-convection with absorption.

• Journal of the Korean Mathematical Society
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• v.32 no.3
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• pp.389-399
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• 1995

We consider the reaction-diffusion system of two-component model in one-dimensional space described by $$ (1) u_s = d_1 u_{xx} + f(u, \upsilon) \upsilon_t = d_2\upsilon_{xx} + \gammag(u, \upsilon) $$ where $d_1$ and $d_2$ are the diffusion rates of u and $\upsilon$, and $\gamma$ is the ration of reaction rates. It is interesting the case of that there are differences in the diffusion and reaction rates of u and $\upsilon$.

• Journal of applied mathematics & informatics
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• v.29 no.5_6
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• pp.1541-1547
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• 2011

In this paper, using B.Ricceri's three critical points theorem, we prove the existence of at least three classical solutions for the problem $$\{u^{(4)}(t)={\lambda}f(t,\;u(t)),\;t{\in}(0,\;1),\\u(0)=u(1)=u^{\prime}(0)=u^{\prime}(1)=0,$$ under appropriate hypotheses.