Journal of Mathematics Research, Issue: Vol.12, No.3JMRWed, 03 Jun 2020 20:53:57 +0000Zend_Feed_Writer 2 (http://framework.zend.com)
http://www.ccsenet.org/journal/index.php/jmr
jmr@ccsenet.org (Journal of Mathematics Research)Journal of Mathematics ResearchOn the Construction of Approximate Solutions for the 1D Pollutant Transport ModelThe purpose of this paper is to build sequences of suitably smooth approximate solutions to the 1D pollutant transport model that preserve the mathematical structure discovered in (Roamba, Zabsonré, Zongo, 2017). The stability arguments in this paper then apply to such sequences of approximate solutions, which leads to the global existence of weak solutions for this model. We show that when the Reynold number goes to infinity, we have always an existence of global weak solutions result for the corresponding model.]]>Thu, 16 Apr 2020 01:56:28 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/42496
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/424960α-level Fuzzy Soft SetsIn this paper, based on soft lattices, with the help of fuzzy level (cut) set, -level fuzzy soft sets and -level fuzzy soft lattices are defined, and the structure and characteristics of our definitions are explained with examples, at the same time, their di erences and relations are compared with classic soft set.]]>Wed, 27 May 2020 09:44:29 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/42589
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/425890Oscillate Criteria of Third Order Semi-linear Neutral Delay Differential EquationsThe oscillation of a class of neutral third-order semi-linear differential equations is studied. The Riccati transform technique is used to construct different functions and classical inequalities. Some new oscillation theories of differential equations are established. Our results differ from the results in other literature, and use examples to illustrate the application of the conclusions.]]>Thu, 28 May 2020 01:45:41 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/42591
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/425910Optimal Control Problem for the Weak Nonlinear Equation of Thin Plate With Control at the Coefficient of Lowest TermThe paper deals with an inverse problem of determining the right-hand side of the linear equation of oscillations of thin plates. The problem is reduced to the optimal control problem. Differentiability of the functional is studied. Necessary condition of optimality is derived.]]>Mon, 27 Apr 2020 08:31:07 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/42592
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/425920Spherical Images of W-Direction Curves in Euclidean 3-SpaceIn this paper, we study the spherical indicatrices of W-direction curves in three dimensional Euclidean space which were defined by using the unit Darboux vector field W of a Frenet curve. We obtain the Frenet apparatus of these spherical indicatrices and the characterizations of being general helix and slant helix. Moreover we give some properties between the spherical indicatrices and their associated curves.]]>Thu, 07 May 2020 02:59:48 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/42685
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/426850Mixed Finite Element-Characteristic Mixed Finite Element Method for Simulating Three-Dimensional Incompressible Miscible Displacement ProblemsA mixed finite element with the characteristics is presented as a local conservative numerical approximation for an incompressible miscible problem in porous media. A mixed finite element (MFE) is used for the pressure and Darcy velocity, and a characteristic method is for the saturation. The convection term is discretized along the characteristic direction and the diffusion term is discretized by zero-order mixed finite element method. The method of characteristics confirms the strong stability without numerical dispersion at sharp fronts. Moreover, large time step is possibly adopted without any accuracy loss. The scalar unknown function and the adjoint vector function are obtained simultaneously and the law of mass conservation holds in every element by the zero-order mixed finite element discretization of diffusion flux. In order to derive the optimal $3/2$-order error estimate in $L^2$ norm, a post-processing technique is included in the approximation to the scalar unknown saturation. This method can be used to solve the complicated problem.]]>Thu, 28 May 2020 01:58:06 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/42737
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/427370A Portfolio of Risky Assets and Its Intrinsic PropertiesWe show a canonical expression of a univariate risky asset. We find out a canonical expression of the product of two univariate risky assets when they are jointly considered. We find out a canonical expression of a portfolio of two univariate risky assets when it is viewed as a stand-alone entity. We prove that a univariate risky asset is an isometry. We define different distributions of probability on R inside of metric spaces having di erent dimensions. We use the geometric property of collinearity in order to obtain this thing. We obtain the expected return on a portfolio of two univariate risky assets when it is viewed as a stand-alone entity. We also obtain its variance. We show that it is possible to use two di erent quadratic metrics in order to analyze a portfolio of two univariate risky assets. We consider two intrinsic properties of it. If a portfolio of two univariate risky assets is viewed as a stand-alone entity then it is an antisymmetric tensor of order 2. What we say can be extended to a portfolio of more than two univariate risky assets.]]>Thu, 21 May 2020 06:27:12 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/42801
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/428010Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 12, No. 3Reviewer Acknowledgements for Review of European Studies, Vol. 12, No. 3, 2020.]]>Thu, 28 May 2020 02:03:52 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/42873
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/428730