Hyperbolicity, convexity and shock waves in one-dimensional crystalline solids

Journal of Physics A: Mathematical and General

Volumn 38, Issue 20, 2005, Pages 4337-4347

  Ruggeri, Tommaso ^a   Sugiyama, Masaru ^b  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b NAGOYA INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18744390025     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/20/003     Document Type: Article

References (16)

1. Dafermos C 2001 Hyperbolic Conservation Laws in Continuum Physics (Berlin: Springer)
2. Ruggeri T 2005 The entropy principle: from continuum mechanics to hyperbolic systems of balance laws Boll. Un. Mat. Ital. B 8 1
3. Boillat G 1974 C. R. Acad. Sc. Paris A 278 909
4. Boillat G 1996 CIME Course: Recent Mathematical Methods in Nonlinear Wave Propagation (Lecture Notes in Mathematics vol 1640) ed T Ruggeri (Berlin: Springer) pp 1-47
5. Ruggeri T and Strumia A 1981 Ann. Inst. Henri Poincaré A 34 65
6. Truesdell C and Toupin R 1960 The Classical Field Theories, Encyclopedia of Physics ed S Flügge (Berlin: Springer)
7. Müller I and Ruggeri T 1998 Rational Extended Thermodynamics (Springer Tracts in Natural Philosophy vol 37) 2nd edn (New York: Springer)
8. Fischer A E and Marsden J E 1972 Commun. Math. Phys. 28 1
9. Majda A 1984 Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables (New York: Springer)
10. Sugiyama M and Isogai T 1996 Japan. J. Appl. Phys. 35 3505
11. Toda M 1981 Theory of Nonlinear Lattices (Berlin: Springer)
12. Girifalco L A and Weizer V G 1959 Phys. Rev. 114 687
13. Torrens I M 1972 Interatomic Potentials (New York: Academic)
14. Sugiyama M 1992 J. Phys. Soc. Japan 61 2260
15. Boillat G and Ruggeri T 1979 Wave Motion 1 149
16. Boillat G and Ruggeri T 1980 Acta Mech. 35 271