Group Theoretic Methods and Similarity Solutions of the Savage-Hutter Equations

Lecture Notes in Applied and Computational Mechanics

Volumn 11, Issue , 2003, Pages 251-261

  Chugunov, Vladimir ^a   Gray, John Mark Nicholas Timm ^b   Hutter, Kolumban ^c  

^a KAZAN FEDERAL UNIVERSITY   (Russian Federation)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

^c DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

POROUS MATERIALS;

EXPLICIT SOLUTIONS; FREE-SURFACE FLOW; GRANULAR AVALANCHE; GROUP THEORETIC METHOD; PHYSICAL INTERPRETATION; SAVAGE-HUTTER EQUATIONS; SIMILARITY SOLUTION; TIME-DEPENDENT SYSTEMS;

GROUP THEORY;

EID: 84880168896     PISSN: 16137736     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-36565-5_8     Document Type: Article

References (7)

1. Aksenov A.V., Baikov V.A., Chugunov V.A., Gazizov R.K., Meshkov A.G. (1995) Lie group analysis of differential equations. Volume 2. Applications in engineering and physical sciences. (Ed.) N.H. Ibragimov. CRC Press
2. Gray J. M. N. T., Wieland M., Hutter K. (1999) Free surface flow of cohesionless granular avalanches over complex basal topography. Proc. Roy. Soc. London A 455, 1841-1874
3. Gray J.M.N.T., Tai Y.C. (1998) Particle size segregation, granular shocks and stratification patterns. NATO ASI series, H.J. Herrmann et al. (eds.), Physics of dry granular media. Kluwer Academic., 697-702
4. Hydon P.E. (2000) Symmetry Methods for Differential Equations. Cambridge University Press
5. Ibragimov N.H. (2000) Introduction to modern group analysis. Ufa, Russia
6. Savage S. B., Hutter K. (1989) The motion of a finite mass of granular material down a rough incline. J. Fluid Mech. 199, 177-215
7. Savage S.B., Hutter K. (1991) The dynamics of avalanches of granular materials from initiation to runout. Acta Mech. Part I: Analysis. 86, 201-223