Open AccessEnergy of wave and solutions of C-Holm equation under Lagrangian point of view
Author(s) -
Shkelqim Hajrulla,
Leonard Bezati,
Fatmir Hoxha
Publication year - 2018
Publication title -
international journal of scientific research and management (ijsrm)
Language(s) - English
Resource type - Journals
ISSN - 2321-3418
DOI - 10.18535/ijsrm/v6i11.m01
Subject(s) - lagrangian and eulerian specification of the flow field , semigroup , lagrangian , transformation (genetics) , energy (signal processing) , measure (data warehouse) , mathematics , point (geometry) , radon measure , mathematical analysis , physics , computer science , geometry , pure mathematics , chemistry , locally compact space , statistics , database , biochemistry , gene , eulerian path
Abstract:
We deal with the Camassa-Holm equation possesses a global continuous semigroup of weak conservative solutions for initial data. The result is obtained by introducing a coordinate transformation into Lagrangian coordinates. To characterize conservative solutions it is necessary to include the energy density given by the positive Radon measure µ with . The total energy is preserved by the solution.
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