Similarity: generalizations, applications and open problems

被引:6
作者
Bluman, G. [1 ]
Broadbridge, P. [2 ]
King, J. R. [3 ]
Ward, M. J. [1 ]
机构
[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
[2] La Trobe Univ, Sch Engn & Math Sci, Bundoora, Vic 3086, Australia
[3] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England
关键词
SIMILAR BLOW-UP; CONSERVATION-LAWS; SINGULARITIES; INSTABILITY; REDUCTIONS; SYMMETRIES; ALGORITHM; EQUATIONS; SOFTWARE; ALGEBRA;
D O I
10.1007/s10665-009-9330-y
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
[No abstract available]
引用
收藏
页码:1 / 9
页数:9
相关论文
共 94 条
[1]   Direct construction method for conservation laws of partial differential equations - Part I: Examples of conservation law classifications [J].
Anco, SC ;
Bluman, G .
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2002, 13 :545-566
[2]   Direct construction method for conservation laws of partial differential equations - Part II: General treatment [J].
Anco, SC ;
Bluman, G .
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2002, 13 :567-585
[3]   Direct construction of conservation laws from field equations [J].
Anco, SC ;
Bluman, G .
PHYSICAL REVIEW LETTERS, 1997, 78 (15) :2869-2873
[4]   Invertible mappings of nonlinear PDEs to linear PDEs through admitted conservation laws [J].
Anco, Stephen ;
Bluman, George ;
Wolf, Thomas .
ACTA APPLICANDAE MATHEMATICAE, 2008, 101 (1-3) :21-38
[5]  
[Anonymous], 1915, T AM SOC MECH ENG, DOI DOI 10.1115/1.4059754
[6]  
[Anonymous], 1991, What is Integrability?
[7]  
Barenblatt G., 1996, Scaling, self-similarity, and intermediate asymptotics, DOI [10.1017/CBO9781107050242, DOI 10.1017/CBO9781107050242]
[8]  
Barenblatt G.I., 1979, Similarity, self-similarity and intermediate asymptotics
[9]  
Barenblatt G.I., 1996, Scaling, Self-Similarity, and Intermediate Asymptotics: Dimensional Analysis and Intermediate Asymptotics No. 14, V14
[10]   A RESCALING ALGORITHM FOR THE NUMERICAL-CALCULATION OF BLOWING-UP SOLUTIONS [J].
BERGER, M ;
KOHN, RV .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (06) :841-863