TY - JOUR
T1 - Extensions of hyperbolic systems of balance laws
AU - Sever, Michael
PY - 2006/4
Y1 - 2006/4
N2 - An algorithm is presented for the extension of a hyperbolic system of balance laws to a system of higher dimension, in such a manner that weak solutions of the original system form a subset of the weak solutions of the extended system. Hyperbolicity and the symmetry group of the original system survive the extension, and some information on the characteristic speeds of the extended system is obtained. Applying the method to isentropic fluid flow, a new form of model for two-fluid flow is obtained.
AB - An algorithm is presented for the extension of a hyperbolic system of balance laws to a system of higher dimension, in such a manner that weak solutions of the original system form a subset of the weak solutions of the extended system. Hyperbolicity and the symmetry group of the original system survive the extension, and some information on the characteristic speeds of the extended system is obtained. Applying the method to isentropic fluid flow, a new form of model for two-fluid flow is obtained.
KW - Nonlinear hyperbolic systems
KW - Two-fluid flow
UR - http://www.scopus.com/inward/record.url?scp=33645293986&partnerID=8YFLogxK
U2 - 10.1007/s00161-006-0011-z
DO - 10.1007/s00161-006-0011-z
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AN - SCOPUS:33645293986
SN - 0935-1175
VL - 17
SP - 453
EP - 468
JO - Continuum Mechanics and Thermodynamics
JF - Continuum Mechanics and Thermodynamics
IS - 6
ER -