Results 21 to 30 of about 230,082 (281)

A Framework for Modeling Subgrid Effects for Two-Phase Flows in Porous Media [PDF]

, 2006
In this paper, we study upscaling for two-phase flows in strongly heterogeneous porous media. Upscaling a hyperbolic convection equation is known to be very difficult due to the presence of nonlocal memory effects.
Hou, Thomas Y., Westhead, Andrew, Yang, Danping   +2 more
core   +2 more sources

Search for Tracker Potentials in Quintessence Theory [PDF]

, 2001
We report a significant finding in Quintessence theory that the the scalar fields with tracker potentials have a model-independent scaling behaviour in the expanding universe.
Johri V B, Johri V B, Johri V B, Johri V B, Johri V B, Johri V B, Johri V B, Perlmutter S, Prigogine I, Prigogine I, Ratra B, Vinod B Johri   +11 more
core   +3 more sources

A non-linear hyperbolic equation

International Journal of Mathematics and Mathematical Sciences, 1980
In this paper the following Cauchy problem, in a Hilbert space H, is considered: (I+λA)u″+A2u+[α+M(|A12u|2)]Au=fu(0)=u0u′(0 ...
Eliana Henriques de Brito
doaj   +1 more source

Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations

Journal of Applied Mathematics, 2012
With the help of the generalized hyperbolic function, the subsidiary ordinary differential equation method is improved and proposed to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way.
Zeid I. A. Al-Muhiameed, Emad A.-B. Abdel-Salam   +1 more
doaj   +1 more source

Considerations on the hyperbolic complex Klein-Gordon equation

, 2010
The article summarizes and consolidates investigations on hyperbolic complex numbers with respect to the Klein-Gordon equation for fermions and bosons. The hyperbolic complex numbers are applied in the sense that complex extensions of groups and algebras
Ulrych, S.
core   +1 more source

Reducing Residual Moveout for Long Offset Data in VTI Media Using Padé Approximation [PDF]

E3S Web of Conferences, 2019
Modification of the hyperbolic travel time equation into non-hyperbolic travel time equation is important to increase the reduction residual moveout for long offset data.
Pratiwi Indah Nur, Rosid Mohammad Syamsu, Purba Humbang   +2 more
doaj   +1 more source

On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory

, 2007
Elliptic pseudoanalytic function theory was considered independently by Bers and Vekua decades ago. In this paper we develop a hyperbolic analogue of pseudoanalytic function theory using the algebra of hyperbolic numbers.
Bers L, Bers L, D Rochon, Kantor I L, Kravchenko V V, Kravchenko V V, Lavrentyev M A, Motter A F, Price G B, Rochon D, Rochon D, S Tremblay, V V Kravchenko, Vekua I N, Wen G C   +14 more
core   +2 more sources

ON GREEN’S FUNCTION OF DARBOUX PROBLEM FOR HYPERBOLIC EQUATION

Вестник КазНУ. Серия математика, механика, информатика, 2021
It is well known that the Darboux problem for the hyperbolic equation is correct, both in the senseof classical and generalized solutions. An integral form of the solution of the Darboux problem ina characteristic triangle for a general two-dimensional ...
M. A. Sadybekov, B. Derbissaly
doaj   +1 more source

Quasi hyperbolic function expansion method and tanh-function method for solving vibrating string equation and elastic rod equation

Journal of Low Frequency Noise, Vibration and Active Control, 2019
This paper applies the quasi hyperbolic function expansion method and the modified extended tanh-function method to exactly solve the nonlinear vibrating string equation and the elastic rod equation.
Yi Tian
doaj   +1 more source

The Cauchy problem for a system of the hyperbolic differential equations of the n-th order with the nonmultiple characteristics

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
In the paper the Cauchy problem is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The regular solution of the Cauchy problem for the hyperbolic differential equation of the n-th order with the ...
Aleksandr A Andreev, Julia O Yakovleva
doaj   +1 more source