scholarly journals Existence of solutions for the Eulerian flamelet model equations

2013 ◽  
Vol 57 (9-10) ◽  
pp. 2196-2206
Author(s):  
Greice S. Lorenzzetti ◽  
Álvaro L. de Bortoli ◽  
Lígia D.F. Marczak
Keyword(s):  
Existence Of Solutions ◽  
Flamelet Model ◽  
Model Equations

ON THE ZERO THICKNESS LIMIT OF THIN FERROMAGNETIC FILMS WITH SURFACE ANISOTROPY ENERGY

2001 ◽  
Vol 11 (08) ◽  
pp. 1469-1490 ◽  
Author(s):  
K. HAMDACHE ◽  
M. TILIOUA
Keyword(s):  
Maxwell Equations ◽  
Existence Of Solutions ◽  
Anisotropy Energy ◽  
Surface Anisotropy ◽  
Magnetic Polarization ◽  
One Dimensional ◽  
Ferromagnetic Films ◽  
Lifshitz Equation ◽  
Global Existence Of Solutions ◽  
Model Equations

We discuss the behaviour, when the thickness ε tends to 0, of thin ferromagnetic films with surface anisotropy energy. The model equations are given by the Landau–Lifshitz equation coupled to Maxwell equations with magnetic polarization. We consider two types of materials: flat and slender cylinders. Two scalings for the surface anisotropy coefficient are used. In the first one it is assumed that the coefficient is of order ε while in the second one we suppose that it is of order 1. We prove global existence of solutions and show that the zero-thickness limit induces new effects. For example, for slender media we get a nonlocal effect for the magnetic excitation while for flat media we obtain a one-dimensional magnetic field.

Study of solutions of a continuous-discrete model of HIV infection spread

2016 ◽  
Vol 31 (5) ◽  
Author(s):  
Nikolay V. Pertsev
Keyword(s):  
Hiv Infection ◽  
Existence Of Solutions ◽  
Social Groups ◽  
Monotone Operators ◽  
Model Parameters ◽  
Risk Of Infection ◽  
Model Equations ◽  
And Migration ◽  
Discrete Mathematical Model ◽  
Number Of Individuals

AbstractEquations of a continuous-discrete mathematical model describing the propagation of HIV infection among the population of several regions are presented. The model equations take into account the reproduction and migration of the population, the risk of infection of individuals from different social groups, an impulse change in the number of individuals at discrete time moments under the action of various factors. The results of the study of the model solutions are also presented. We obtain conditions for the model parameters and initial data that provide the existence of solutions interpreted as full eradication of HIV infection in all considered regions or maintenance of sizes of groups of infected individuals at some acceptable level. The solutions analysis uses the monotone operators method and properties of nonsingular M-matrices.

Model Equations for Quasi-Twodimensional Pattern Forming Systems

1994 ◽  
Vol 19 (6) ◽  
pp. 721-733 ◽  
Author(s):  
M. Neufeld ◽  
R. Friedrich
Keyword(s):  
Model Equations ◽  
Pattern Forming

Modelling Of Transport And Capture Of Particles In A Porous Medium

2019 ◽  
pp. 56-60
Keyword(s):  
Porous Medium ◽  
Asymptotic Solution ◽  
Retention Mechanism ◽  
Inverse Filtering ◽  
Underground Structures ◽  
Loose Soil ◽  
Monodisperse Suspension ◽  
Homogeneous Porous Medium ◽  
Model Equations ◽  
Pass Through

The study of the transport and capture of particles moving in a fluid flow in a porous medium is an important problem of underground hydromechanics, which occurs when strengthening loose soil and creating watertight partitions for building tunnels and underground structures. A one-dimensional mathematical model of long-term deep filtration of a monodisperse suspension in a homogeneous porous medium with a dimensional particle retention mechanism is considered. It is assumed that the particles freely pass through large pores and get stuck at the inlet of small pores whose diameter is smaller than the particle size. The model takes into account the change in the permeability of the porous medium and the permissible flow through the pores with increasing concentration of retained particles. A new spatial variable obtained by a special coordinate transformation in model equations is small at any time at each point of the porous medium. A global asymptotic solution of the model equations is constructed by the method of series expansion in a small parameter. The asymptotics found is everywhere close to a numerical solution. Global asymptotic solution can be used to solve the inverse filtering problem and when planning laboratory experiments.

THE NEW ALGORITHM OF SOLVING HARMONIC BALANCE EQUATIONS

2019 ◽  
Author(s):  
Vladimir Lantsov ◽  
A. Papulina
Keyword(s):  
Harmonic Balance ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Balance Equations ◽  
Model Order ◽  
Cad Systems ◽  
Computational Costs ◽  
Reduction Methods ◽  
Model Equations

The new algorithm of solving harmonic balance equations which used in electronic CAD systems is presented. The new algorithm is based on implementation to harmonic balance equations the ideas of model order reduction methods. This algorithm allows significantly reduce the size of memory for storing of model equations and reduce of computational costs.

Reduction of Acquisition Time for RIL, SDL, and LADA

2007 ◽  
Author(s):  
Arjan Mels ◽  
Frank Zachariasse
Keyword(s):  
Background Noise ◽  
Signal Strength ◽  
Acquisition Time ◽  
Optimal Conditions ◽  
Signal Collection ◽  
Defect Localization ◽  
Model Equations ◽  
Set Up ◽  
Main Operating ◽  
Quantitative Tool

Abstract Although RIL, SDL and LADA are slightly different, the main operating principle is the same and the theory for defect localization presented in this paper is applicable to all three methods. Throughout this paper the authors refer to LADA, as all experimental results in this paper were obtained with a 1064nm laser on defect free circuits. This paper first defines mathematically what 'signal strength' actually means in LADA and then demonstrates a statistical model of the LADA situation that explains the optimal conditions for signal collection and the parameters involved. The model is tested against experimental data and is also used to optimise the acquisition time. Through this model, equations were derived for the acquisition time needed to discern a LADA response from the background noise. The model offers a quantitative tool to estimate the feasibility of a given LADA measurement and a guide to optimising the required experimental set-up.

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