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Nonlinear Stability in Non-Newtonian Flows
In this paper, we discuss recent results on the nonlinear stability of discontinuous steady states of a model initial-boundary value problem in one...
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Embedded Triply-Periodic Minimal Surfaces and Related Soap Film Experiments
Some aspects of the modelling of embedded triply-periodic minimal surfaces (ETPMS) by both soap films and plastic models are discussed. Eight new...
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Liquid-Vapor Adiabatic Phase Changes and Related Phenomena
Adiabatic phase changes in liquid-vapor systems are described experimentally and theoretically. The emphasis is on real systems, with departures from...
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Intermediate asymptotics and renormalization group theory
The principles of the renormalization group (RG) are presented pedagogically from the point of view of intermediate asymptotics (IA), which is...
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A second order splitting method for the Cahn-Hilliard equation
A semi-discrete finite element method requiring only continuous element is presented for the approximation of the solution of the evolutionary,...
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Monte Carlo Simulations in Statistical Physics
In Statistical Physics one mostly deals with thermal motion of a system of particles at nonzero temperatures. For example, in a classical ideal gas...
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Monte Carlo Simulations in Statistical Physics
In Statistical Physics one mostly deals with thermal motion of a system of particles at nonzero temperatures. For example, in a classical ideal gas...
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Attractors of the Dissipative Evolution Equation of the First Order in Time: Reaction—Diffusion Equations. Fluid Mechanics and Pattern Formation Equations
Our aim in this chapter is to describe some nonlinear evolution equations of the first order in time, which arise in mechanics and physics. In each...
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Instabilities, Turbulence, and the Physics of Fixed Points
By solving the recursion relation of a reaction-diffusion equation on a lattice, we find two distinct routes to turbulence, both of which reproduce...
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The role of convection in the standard fluid-mechanical model for morphogenesis
The effect of convection on reaction-diffusion instabilities in a visco-elastic medium is studied by using the standard continuum theory of a fluid...
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A generalized diffusion model for growth and dispersal in a population
A reaction-diffusion model is presented in which spatial structure is maintained by means of a diffusive mechanism more general than classical...
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Limit theorems for sums of dependent random variables occurring in statistical mechanics
By the use of conditioning, we extend previously obtained results on the asymptotic behavior of partial sums for certain triangular arrays of...
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Nonequilibrium Phase Transition in Highly Excited Semiconductors
In the last ten years the properties of highly excited semiconductors have been studied thoroughly [1,2,3,4]. If the frequency of the exciting laser...
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Scaling Theory of Instability, Nonlinear Fluctuation and Formation of Macroscopic Structure
The general scheme of the scaling theory of transient phenomena near the instability point is reviewed. The essence of this theory is to evaluate...
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New Method in Non-Equilibrium Statistical Mechanics of Cooperative Systems
It is a common every-day experience that a system of macroscopic size composed of a great number of interacting particles exhibits well-organized...
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Die Zustandsgleichung
Dieselben wie Enc. V 3, Art. Bryan, mit Ausnahme von x ... und X ... und von der Unterscheidung zwischen Grössen in kleiner und in kapitaler kursiver...