A variational model for an asymptotic magnetohydrodynamic system

Communications in Nonlinear Science and Numerical Simulation

Volumn 3, Issue 3, 1998, Pages 176-179

  He, Jihuan ^a  

^a SHANGHAI UNIVERSITY   (China)

Author keywords

Magnetohydrodynamic; Semi inverse method; Unsteady flow; Variational technique

Indexed keywords

FINITE ELEMENT METHOD; HELIUM; MATHEMATICAL MODELS; NONLINEAR SYSTEMS;

ASYMPTOTIC GAS MAGNETOHYDRODYNAMIC SYSTEM; SEMI-INVERSE METHOD; VARIATIONAL MODELS;

MAGNETOHYDRODYNAMICS;

MAGNETOHYDRODYNAMICS;

EID: 0000778665     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1007-5704(98)90011-9     Document Type: Article

References (10)

1. He, J.H., Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics, Int. J. Turbo & Jet-Engines, 1997, 14(1):23-28.
2. He, J.H., A generalized variational principle for 3-D unsteady transonic rotational flow in rotor using Clebsch variables, Int. J. Turbo & Jet-Engines, 1997, 14(1): 17-22.
3. He, J.H., Modified Lagrange multiplier method and generalized variational principles in fluid mechanics, J. Shanghai University (English Edition) 1997, 1(2): 117-122.
4. He, J.H., A Family of variational principles for compressible rotational blade-to-blade flow using semi-inverse method, Int. J. Turbo &: Jet-Engine 1998, 15.
5. He, J.H., Generalized variational principles for compressible S2-flow in mixed-flow turbomachinery using semi-inverse method, Int. J. Turbo & Jet-Engines 1998, 15.
6. He, J.H., A Variational theory for 1-D unsteady compressible flow -An imagine plane approach, Applied Mathematical Modelling, 1998, 22(6):395-403.
7. He, J.H., Generalized Hellinger-Reissner Principle, ASME J. Appl. Mech. (accepted)
8. Hayes, B.T., et al, Measure solutions to a strictly hyperbolic system of conservation laws, Nonlinearity, 1996, 9: 1547-1563.
9. Tan, D.C., Zhang, T. and Zheng, Y.X., Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws, J. Differential Equations, 1994, 112: 1-32.
10. Liu, G.L., A unified variational theory of hybrid problems for fully 3-D transonic rotor flow with shocks, Part I, Acta Mechanica, 1995, 108: 207-217.