TY - JOUR
T1 - On initial boundary-value problems for symmetric nonhyperbolic systems of partial differential equations
AU - Sever, Michael
PY - 2006/11
Y1 - 2006/11
N2 - We obtain examples of continuous maps of initial boundary-value problem data into approximate solutions of symmetric, linear, nonhyperbolic first-order systems of partial differential equations. This discussion is motivated by recurring hyperbolicity failure in models of two-fluid flow, and provides a possible means of evaluating the validity of the underlying physical and mathematical assumptions in the limit of vanishing viscosity.
AB - We obtain examples of continuous maps of initial boundary-value problem data into approximate solutions of symmetric, linear, nonhyperbolic first-order systems of partial differential equations. This discussion is motivated by recurring hyperbolicity failure in models of two-fluid flow, and provides a possible means of evaluating the validity of the underlying physical and mathematical assumptions in the limit of vanishing viscosity.
UR - http://www.scopus.com/inward/record.url?scp=37849188884&partnerID=8YFLogxK
U2 - 10.1007/s00161-006-0029-2
DO - 10.1007/s00161-006-0029-2
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AN - SCOPUS:37849188884
SN - 0935-1175
VL - 18
SP - 305
EP - 318
JO - Continuum Mechanics and Thermodynamics
JF - Continuum Mechanics and Thermodynamics
IS - 5
ER -