Mathematics, mechanics, and astronomy

Mathematics and explanation in astronomy and astrophysics

The purpose of this paper is to expound and clarify the mathematics and explanations commonly employed in certain notable areas of astronomy and astrophysics. The first section concentrates upon the mathematics employed to represent and understand stellar structure and evolution. The second section analyses two different explanations for the structure of spiral galaxies. 1 Stellar structure and...

Rational Mechanics and Natural Mathematics

Chu spaces have found applications in computer science, mathematics, and physics. They enjoy a useful categorical duality analogous to that of lattice theory and projective geometry. As natural mathematics Chu spaces borrow ideas from the natural sciences, particularly physics, while as rational mechanics they cast Hamiltonian mechanics in terms of the interaction of body and mind. This paper a...

Faculty of Mathematics , Informatics and Mechanics

In this dissertation two models of morphogen transport are studied analytically. Both models are based on the concept of positional signalling as introduced by Wolpert in the late sixties. Positional signalling explains the mechanism of cell differentiation and pattern formation in developing embryo using the process of morphogen gradient formation. Both models couple semilinear parabolic equat...

Mathematics and mechanics of granular materials

Warsaw University Faculty of Mathematics , Informatics and Mechanics Karol Palka

The thesis is devoted to studying normal complex Q-acyclic algebraic surfaces S ′. Let S0 be the smooth locus of such a surface. The following results have been obtained. If S ′ has non-negative Kodaira dimension then it is logarithmic, i.e. its singularities are of quotient type. We classify possible S ′ with non-quotient singularities. S ′ can be nonrational. The completion of the resolution ...