Shape maps for second order partial differential equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F17%3AA1801OQ8" target="_blank" >RIV/61988987:17310/17:A1801OQ8 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.matpur.2016.07.010" target="_blank" >http://dx.doi.org/10.1016/j.matpur.2016.07.010</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matpur.2016.07.010" target="_blank" >10.1016/j.matpur.2016.07.010</a>

Result language
angličtina
Original language name
Shape maps for second order partial differential equations
Original language description
We analyse the singularity formation of congruences of solutions of systems of second order PDEs via the construction of shape maps. The trace of such maps represents a congruence volume whose collapse we study through an appropriate evolution equation, akin to Raychaudhuri's equation. We develop the necessary geometric framework on a suitable jet space in which the shape maps appear naturally associated with certain linear connections. Explicit computations are given, along with a nontrivial example.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA14-02476S" target="_blank" >GA14-02476S: Variations, geometry and physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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