Generalized semi-geostrophic theory on a sphere

Semi-geostrophic System with Variable Coriolis Parameter

We prove short time existence and uniqueness of smooth solutions ( in C with k ≥ 2) to the 2-D semi-geostrophic system and semi-geostrophic shallow water system with variable Coriolis parameter f and periodic boundary conditions, under the natural convexity condition on the initial data. The dual space used in analysis of the semi-geostrophic system with constant f does not exist for the variab...

Generalized semi-infinite programming: Theory and methods

Generalized semi-infinite optimization problems (GSIP) are considered. The difference between GSIP and standard semi-infinite problems (SIP) is illustrated by examples. By applying the ’Reduction Ansatz’, optimality conditions for GSIP are derived. Numerical methods for solving GSIP are considered in comparison with methods for SIP. From a theoretical and a practical point of view it is investi...

On Generalized Hyperinterpolation on the Sphere

It is shown that second-order results can be attained by the generalized hyperinterpolation operators on the sphere, which gives an affirmative answer to a question raised by Reimer in Constr. Approx. 18(2002), no. 2, 183–203.

Euclidean field theory on a sphere

This paper is concerned with a structural analysis of euclidean field theories on the euclidean sphere. In the first section we give proposal for axioms for a euclidean field theory on a sphere in terms of C*algebras. Then, in the second section, we investigate the short-distance behavior of euclidean field theory models on the sphere by making use of the concept of scaling algebras, which has ...

Wave-activity conservation laws and stability theorems for semi-geostrophic dynamics. Part 1. Pseudomomentum-based theory