Now showing items 21-30 of 348
Monotone Method for Equations Describing Transport Phenomena in a Banach Space
(University of Texas at Arlington, 1981-06)
Existence of extremal solutions of initial and boundary value problems (B.V.P. for short) of differential equations in a Banach space has been recently considered in [2,7] by utilizing monotone iterative method. A ...
A Molecular Mechanics Simulation of Cracks and Fractures in a Sheet of Ice
(University of Texas at Arlington, 1998-07)
Rectangular, two dimensional sheets of ice molecules are both stressed and compressed. Computer examples compare dynamical responses when the plate has a slot or does not have a slot. The mechanisms for both crack and ...
Monotone Iterative Technique for Delay Differantial Equations in Abstract Cones
(University of Texas at Arlington, 1982-04)
Monotone iterative technique is developed for delay differential equations in a Banach space by utilizing the method of upper and lower solutions.
Generalized Hopf Bifurcation and h-Asymptotic stability
(University of Texas at Arlington, 1979-11)
The prevalent approach to the Hopf bifurcation problem is to prove directly the existence of the bifurcating periodic orbits by using such standard procedures as the implicit function theorem, the LiapunovSchmidt method ...
Numerical Simulation of Miscible and Immiscible Fluid Flows in Porous Media
(University of Texas at Arlington, 1981-02)
Fast, economical, and accurate finite difference numerical methods are developed for approximating continuum models of both miscible and immiscible fluid flows in porous media. The methods apply to very general systems ...
Particle Simulation in Contact Mechanics of a Bouncing Elastic Ball
(University of Texas at Arlington, 1999-05)
An elastic ball is simulated by considering lumped mass molecular sets called particles. Particles are allowed to interact only locally in a fashion similar to that employed in molecular mechanics. Under local and gravity ...
Existence of Solutions in a Closed Set for Delay Differential Equations in Banach Spaces
(University of Texas at Arlington, 1977-01)
The study of the Cauchy problem for ordinary differential equations in a Banach space has been extensive [1,3-7,9-12]. The two main directions that are followed in such a study are (i) finding monotonicity type conditions ...
Stochastic Analysis of Compressible Gas Lubrication Slider Bearing Problem
(University of Texas at Arlington, 1981)
By employing the theory of stochastic differential inequalities and a comparison result for the stochastic boundary value problem, the effects of roughness for nonlinear gas lubricated problem is analyzed. In particular, ...
Supercomputer Simulation of Sessile and Pendent Drops
(University of Texas at Arlington, 1987)
A intermolecular approach is developed for the modeling of sessile and pendent drops. Fundamental mechanisms of drop formation are formulated in terms of gravity and classical intermolecular type forces. CRAY X-MP/24 ...
Local Molecular Temperature
(University of Texas at Arlington, 1989-11)
For the study of phase-transition by molecular dynamics, the concept of local temperature is desirable. Such a concept, defined and studied previously for atoms, is extended in this paper to molecules. The fundamental ...