Variational approach to the inviscid compressible fluid

Acta Applicandae Mathematicae

Volumn 100, Issue 3, 2008, Pages 291-294

  Tao, Zhao Ling ^a  

^a NANJING UNIVERSITY OF INFORMATION SCIENCE AND TECHNOLOGY   (China)

Author keywords

Euler's equation; Semi inverse method; Variational theory

Indexed keywords

EULER EQUATIONS; INVERSE PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS; VARIATIONAL TECHNIQUES;

COMPRESSIBLE FLUID; VARIATIONAL PRINCIPLE;

COMPRESSIBLE FLOW;

EID: 38349098798     PISSN: 01678019     EISSN: 15729036     Source Type: Journal    
DOI: 10.1007/s10440-007-9187-x     Document Type: Article

References (14)

1. Choquard, F., Stromberg, T.: A one dimensional inviscid and compressible fluid in a harmonic potential well. Acta. Appl. Math. 99(2), 161-183 (2007)
2. He, J.H.: Variational principle for two-dimensional incompressible inviscid flow. Phys. Lett. A 371, 39-40 (2007)
3. He, J.H.: Variational theory for one-dimensional longitudinal beam dynamics. Phys. Lett. A 352, 276-277 (2006)
4. He, J.H.: Some asymptotic methods for strongly nonlinear equations. Int. J. Mod. Phys. B 20(10), 1141-1199 (2006)
5. He, J.H.: Variational principles for some nonlinear partial differential equations with variable coefficients. Chaos Solitons Fractals 19(4), 847-851 (2004)
6. He, J.H.: Generalized Variational Principles in Fluids. Sciences and Culture Publishing House of China, Hong Kong (2003) (in Chinese)
7. He, J.H.: Variational approach for nonlinear oscillators. Chaos Solitons Fractals 34(5), 1430-1439 (2007)
8. He, J.H.: Variational iteration method-some recent results and new interpretations. J. Comput. Appl. Math. 207(1), 3-17 (2007)
9. He, J.H., Wu, X.H.: Variational iteration method: New development and applications. Comput. Math. Appl. 54, 879-880 (2007)
10. Biazar, J., Ghazvini, H.: He's variational iteration method for solving hyperbolic differential equations. Int. J. Nonlinear Sci. 8(3), 311-314 (2007)
11. Sadighi, A., Ganji, D.D.: Solution of the generalized nonlinear Boussinesq equation using homotopy perturbation and variational iteration methods. Int. J. Nonlinear Sci. 8(3), 435-443 (2007)
12. Yusufoglu, E.: Variational iteration method for construction of some compact and noncompact structures of Klein-Gordon equations. Int. J. Nonlinear Sci. 8(2), 153-158 (2007)
13. Chao, P.C.P., Liao, P.Y., Huang, J.S.: A novel microscopic modeling on hysteresis effects on piezoelectric structures with assistance from finite element. Int. J. Nonlinear Sci. 7(3), 269-274 (2006)
14. Wu, H.A., Lei, Z.F., Wang, X.X.: Finite element simulation of drug release from swelling matrix. Int. J. Nonlinear Sci. 7(3), 309-312 (2006)