Add to ORKGIn this series of lectures, I discuss the mathematical description of phenomena which cover many different length or time scales. Namely, it is extremely com-mon that parts of the solution “living ” on different scales look identical under a rescaling of their dimensions: they are self-similar. Some of the reasonin
(ABSTRACT) This paper examines self-similar sets and some of their properties, including the natural...
Abstract. We discuss a methodology for studying the linear stability of self-similar solutions. We w...
The concept of similarity is widely used in many fields of geometry and mathematics; for applic...
We briefly introduce through examples taken from the physics of fluids and con-tinuous media, the co...
Dimensional Analysis and Physical Similarity are well understood subjects, and the general concepts ...
ISBN 981-238-402-2We briefly introduce through examples taken from the physics of fluids and continu...
AbstractSelf-similar solutions are considered to the incompressible Euler equations in , where the s...
We study self-similar measures defined by non-uniformly contractive iterated function systems of sim...
Self-similar solutions are considered to the incompressible Euler equations in R-3, where the simila...
The gravitational interaction is scale-free in both Newtonian gravity and general theory of relativi...
The properties of self-similar sets are discussed and a brief historical survey of ideas related to ...
We proof that non-uniform self-similar measure are either singular or equivalent to Lebesgue measure...
This idea of repeating a similar shape (often at a different scale) over and over again, is called s...
We study the models and their particular case, the so-called -models under the self-similarity hypo...
Many systems in nature have arborescent and bifurcated structures such as trees, fern, snails, lungs...
(ABSTRACT) This paper examines self-similar sets and some of their properties, including the natural...
Abstract. We discuss a methodology for studying the linear stability of self-similar solutions. We w...
The concept of similarity is widely used in many fields of geometry and mathematics; for applic...
We briefly introduce through examples taken from the physics of fluids and con-tinuous media, the co...
Dimensional Analysis and Physical Similarity are well understood subjects, and the general concepts ...
ISBN 981-238-402-2We briefly introduce through examples taken from the physics of fluids and continu...
AbstractSelf-similar solutions are considered to the incompressible Euler equations in , where the s...
We study self-similar measures defined by non-uniformly contractive iterated function systems of sim...
Self-similar solutions are considered to the incompressible Euler equations in R-3, where the simila...
The gravitational interaction is scale-free in both Newtonian gravity and general theory of relativi...
The properties of self-similar sets are discussed and a brief historical survey of ideas related to ...
We proof that non-uniform self-similar measure are either singular or equivalent to Lebesgue measure...
This idea of repeating a similar shape (often at a different scale) over and over again, is called s...
We study the models and their particular case, the so-called -models under the self-similarity hypo...
Many systems in nature have arborescent and bifurcated structures such as trees, fern, snails, lungs...
(ABSTRACT) This paper examines self-similar sets and some of their properties, including the natural...
Abstract. We discuss a methodology for studying the linear stability of self-similar solutions. We w...
The concept of similarity is widely used in many fields of geometry and mathematics; for applic...