Idha Sihwaningrum
Jenderal Soedirman University

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GENERALIZED STUMMEL CLASS AND MORREY SPACES OF NONHOMOGENEOUS TYPE Budhi, Wono Setya; Sihwaningrum, Idha; Soeharyadi, Yudi
Journal of the Indonesian Mathematical Society Volume 20 Number 2 (October 2014)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.20.2.187.141-147

Abstract

In the context of the spaces of nonhomogeneous type, in this paper we study a relation between the generalized Stummel class and the generalized Morrey spaces. The stummel class is a class of functions related to local behavior of mapping by fractional integral operators. Meanwhile, the generalized Morrey spaces are classes of functions related to local behavior of Hardy-Littlewood maximal function. Our results employ the doubling condition of functions under consideration.DOI : http://dx.doi.org/10.22342/jims.20.2.187.141-147
SILINDER BERPENAMPANG AIRFOIL DARI PENJUMLAHAN DUA LINGKARAN sihwaningrum, Idha
MATEMATIKA Vol 5, No 1 (2002): Jurnal Matematika
Publisher : MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (202.441 KB)

Abstract

In two dimensional nonviscous incompressible irrotational fluid flow, the equipotential lines and the streamlines can be related to the real and imaginary part of the complex function respectively.  By taking the streamlines equal to zero as the boundary fluid flows, we get several types of fluid flows such as fluid flow past a circular cylinder.  Having addition of two cylinder in a certain position result in an airfoil, it it reseanoble for asking whether addition of two equation of fluid flow past a cylinder give an equation of fluid flow past an airfoil cylinder.  This can be answer by examining  a lift from the airfoil equation. It is difficult to obtain the actual value of the lift.  To gain an understanding, we examine the change of square of the velocity in the neighbourhood of the airfoil.  Bernoulli's equation provides the connection between the pressure and the square of the velocity . Then the knowledge of the square of the fluid flow velocity gives an indication of the pressure.  Since the square of the fluid flow velocity in the neighbourhood below the airfoil is smaller than it is in the neighbourhood above the airfoil, then the pressure in the neighbourhood below the airfoil is greater than it is the neighbourhood above the airfoil.  This indicates that we have a lift from the equation of fluid flow past an airfoil in which its equation formed by summing two equation of fluid flow past a cylinder.  
Partial Fourier Transform Methods to Solve the Solution Formula of Stokes Equation in Half-Space Maryani, Sri; Zahratunnisa, Siti Fauziah; Sihwaningrum, Idha; Wardayani, Ari; Guswanto, Bambang Hendriya
JST (Jurnal Sains dan Teknologi) Vol 11, No 1 (2022)
Publisher : Universitas Pendidikan Ganesha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/jst-undiksha.v11i1.39523

Abstract

Fluids are a shape of a matter which have substance liquids, gases and plasmas. In our daily life, fluids become important part, such as part of our blood and also help our body getting nutrients. It is well known that fluid motion can be described in mathematical model in especially in form of partial differential equations (PDE) and called as Navier Stokes Equations  (NSE). The Navier Stokes equation is derived from balance of conservation of mass and conservation of momentum. In this paper, we consider the solution formula of the linearized of the Navier Stokes Equation (NSE) with the initial boundary value (IBV) problem in half space without surface tension. The model problem under consideration covers of non-linear fluid type. We solve the solution formula of velocity and density of the model problem by using Fourier transform and partial Fourier transform method. The strategy geting the solution of the model problem is based on the analysis of some resolvent of the model problem which obtained by using Laplace transform of the Stokes equations. Therefore, In particular, the formula of velocity and density of the Stokes equation are obtained.