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The geometry of 2x2 systems of conservation laws

Title
The geometry of 2x2 systems of conservation laws
Type
Article in International Scientific Journal
Year
2005
Authors
Basto Goncalves, J
(Author)
FCUP
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Helena Reis
(Author)
FEP
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Journal
Vol. 88 No. 3
Pages: 269-329
ISSN: 0167-8019
Publisher: Springer Nature
Other information
Authenticus ID: P-000-1DQ
Abstract (EN): We consider one typical two-parameter family of quadratic systems of 2 x 2 conservation laws, and study the geometry of the behaviour of the possible solutions of the Riemann problem near an umbilic point, following the geometric approach presented by Isaacson, Marchesin, Palmeira, Plohr, in A global formalism for nonlinear waves in conservation laws, Commun. Math. Phys. (1992). The corresponding phase portraits for the rarefaction curves, shock curves and composite curves are discussed.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 61
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