Variational theory for physiological flow

Computers and Mathematics with Applications

Volumn 54, Issue 7-8, 2007, Pages 1000-1002

  Zhou, Xin Wei ^a  

^a Kunming Teacher's College   (China)

Author keywords

Blood flow; Semi inverse method; Variational theory

Indexed keywords

BLOOD; INVERSE PROBLEMS;

BLOOD FLOW; SEMI-INVERSE METHOD;

HEMODYNAMICS;

EID: 34748857931     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.12.043     Document Type: Article

References (22)

1. Lighthill J. Mathematical biofluid dynamics (1975), SIAM, Philadelphia
2. Pedley T.J. Wave phenomena in physiological flows. IMA J. Appl. Math. 32 (1984) 267
3. He J.H. Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics. Int. J. Turbo Jet-Eng. 14 1 (1997) 23
4. He J.H. Variational principles for some nonlinear partial differential equations with variable coefficients. Chaos Solitons Fractals 19 4 (2004) 847
5. Hao T.H. Search for variational principles in electrodynamics by Lagrange method. Int. J. Nonlinear Sci. 6 2 (2005) 209
6. He J.H. Variational approach to (2+1)-dimensional dispersive long water equations. Phys. Lett. A 335 2-3 (2005) 182
7. He J.H. A generalized variational principle in micromorphic thermoelasticity. Mech. Res. Comm. 32 1 (2005) 93
8. He J.H. Variational principle for non-Newtonian lubrication: Rabinowitsch fluid model. Appl. Math. Comput. 157 1 (2004) 281
9. He J.H. A family of variational principles for linear micromorphic elasticity. Comput. & Structures 81 21 (2003) 2079
10. He J.H. A variational principle for magnetohydrodynamics with high Hartmann number flow. Int. J. Eng. Sci. 40 12 (2002) 1403
11. He J.H. Variational theory for linear magneto-electro-elasticity. Int. J. Nonlinear Sci. 2 4 (2001) 309
12. He J.H. Hamilton principle and generalized variational principles of linear thermopiezoelectricity. J. Appl. Mech.-T. ASME 68 4 (2001) 666
13. He J.H. Generalized Hellinger-Reissner principle. J. Appl. Mech.-T. ASME 67 2 (2000) 326
14. Liu H.M. Generalized variational principles for ion acoustic plasma waves by He's semi-inverse method. Chaos Solitons Fractals 23 2 (2005) 573
15. Liu H.M., et al. Variational approach to chemical reaction. Comput. Chem. Eng. 28 9 (2004) 1549
16. Liu H.M. Variational approach to nonlinear electrochemical system. Int. J. Nonlinear Sci. 5 1 (2004) 95
17. Zhang J., Yu J.-Y., and Pan N. Variational principles for nonlinear fiber optics. Chaos Solitons Fractals 24 1 (2005) 309
18. He J.H., and Wu X.H. Construction of solitary solution and compacton-like solution by variational iteration method. Chaos Solitons Fractals 29 1 (2006) 108
19. Odibat Z.M., and Momani S. Application of variational iteration method to Nonlinear differential equations of fractional order. Int. J. Nonlinear Sci. 7 1 (2006) 27
20. Bildik N., and Konuralp A. The use of Variational Iteration Method, Differential Transform Method and Adomian Decomposition Method for solving different types of nonlinear partial differential equations. Int. J. Nonlinear Sci. 7 1 (2006) 65
21. He J.H. Some asymptotic methods for strongly nonlinear equations. Int. J. Mod. Phys. B 20 10 (2006) 1141
22. He J.H. Non-perturbative Methods for Strongly Nonlinear Problems (2006), dissertation.de-Verlag im Internet GmbH, Berlin