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Mathematical Aspects of A Model for Granular Flow
2011The model for granular flow being studied by the authors was proposed by Hadeler and Kuttler in [21]. In one space dimension, by a change of variable, the system can be written as a 2 × 2 hyperbolic system of balance laws. Various results are obtained for this system, under suitable assumptions on initial data which leads to a strictly hyperbolic ...
AMADORI, DEBORA, SHEN W.
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Extensional flow ?a mathematical perspective
Rheologica Acta, 1995Extensional flow has been studied extensively for less than half the lifetime of the word “rheology”, although measurement of viscosity from extensional flow experiments can be traced back to the beginning of this century. In recent years extensional flow has, however, attracted a great deal of attention in conferences, workshops and special issues of ...
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Mathematical Description of Fluid Flow
2015With the grounds laid in Sect. 1.7, we are now in a position to apply the laws of motion at every point within a body of fluid. The equations of motion obtained in this way can be thought of as point equations in the sense that they do not govern the motion of the fluid body as a whole but the motion of individual material points (fluid elements ...
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Mathematical Models of Fluid Flows
1983In this book we are concerned with mathematical solutions to the equations of fluid flow. We shall consider almost exclusively situations in which viscosity can be neglected but will deal with both incompressible and compressible fluids. In this chapter we derive the equations of flow.
Alan B. Tayler, Hilary Ockendon
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Mathematical Modelling of Traffic Flows
2003We are concerned with mathematical modeHng of of traffic flow. In particular, well-posedness theory of various nonequilibrium continuum models of traffic flow are established.
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Mathematical Modelling in Fluid Flow
1994A group of about twelve members of the NATO-ARW chose to attend the mathematical modelling (MM) in fluid flow sessions. The sessions consisted of the following: • A presentation on the industrial requirements of fluid flow courses • A presentation on experiences of teaching Computational Fluid Dynamics (CFD) • Discussion ...
A. W. Bush, R. Mattheys
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Mathematical analysis of time flow
Analysis, 2015Abstract The mathematical analysis of time flow in physical many-body systems leads to the study of long-time limits. This article discusses the interdisciplinary problem of local stationarity, how stationary solutions can remain slowly time dependent after a long-time limit.
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Visualizing mathematics: Evolution of vortical flows
Physica D: Nonlinear Phenomena, 1986zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Flow Processes and Mathematical Models
1984In the following discussions, several mathematical models of flow processes will be developed. Each model is an attempt to precisely describe some physical process by using experimentally calibrated relationships assumed by man. Generally, the assumed relationship (or physical law) expresses a rate of flow or flux of some type of specie as a function ...
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Mathematical problems of liquid crystal flows
Mathematical Methods in the Applied Sciences, 1994AbstractThis article deals with flow phenomena in liquid crystal materials. The model that I analyse is that due to Ericksen for liquid crystals with variable degree of orientation. One of the goals is understanding the role of the order parameter in the model.
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