Mathematical Apparatus for Boundary Value Problems in Gravity Field Studies and the Geometry of the Solution Domain

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F14%3A%230002084" target="_blank" >RIV/00025615:_____/14:#0002084 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Mathematical Apparatus for Boundary Value Problems in Gravity Field Studies and the Geometry of the Solution Domain
Original language description
A relation between the description of the physical surface of the Earth and the structure of the Laplace operator seems to be an important moment in the solution of boundary value problems in physical geodesy. Here, similarly as in other branches of engineering and mathematical physics a transformation of coordinates may be used to solve an alternative between the boundary complexity and the complexity of the coefficients of the partial differential equation governing the solution. In a sense, in the theory of the figure of the Earth the problem is of an intrinsic nature. For instance the Laplace operator has a relatively simple structure in terms of spherical coordinates which are frequently used in geodesy. However, the physical surface of the Earthsubstantially differs from a (geocentric) sphere of (even optimally chosen) radius. The situation may be more convenient in a system of curvilinear coordinates such that the physical surface of the Earth is imbedded in the family of coord
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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