Some remarks on the null condition for nonlinear elastodynamic system

Chinese Annals of Mathematics. Series B

Volumn 23, Issue 3, 2002, Pages 311-316

  Xin, Jie ^a  

^a FUDAN UNIVERSITY   (China)

Author keywords

Elastodynamic system; Null condition; Stored energy function

Indexed keywords

EID: 0036035007     PISSN: 02529599     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0252959902000286     Document Type: Article

References (10)

1. Agemi, R., Global existence of nonlinear elastic waves [J], Invent. Math., 142(2000), 225-250.
2. John, F., Blow-up for quasi-linear waves equations in three space dimensions [J], Comm. Pure Appl. Math., 34(1981), 29-51.
3. John, F., Lower bounds for the life span of solutions of nonlinear wave equations in three space dimensions [J], Comm. Pure Appl. Math., 36(1983), 1-35.
4. John, F., Formation of singularities in elastic waves [A], Lecture Notes in Physics [C], 195(1984), 194-210.
5. Klainerman, S., The null condition and global existence to nonlinear wave equations [A], Lectures in Appl. Math. [C], American Math. Soc., 23(1986), 293-326.
6. Sideris, T., Global behavior of solutions to nonlinear wave equations in three dimensions [J], Comm. P.D.E., 8(1983), 1291-1323.
7. Sideris, T., Nonresonance and global existence of prestressed nonlinear elastic waves [J], Ann. Math., 151(2000), 849-874.
8. Tahvilder-Zadeh, A.Z., Relativistic and nonrelativistic elastodynamics with small shear strains [J], Ann. Inst. H. Poincaré-Phys. Théor., 69(1998), 275-307.
9. Ciarlet, P.G., Mathematical elasticity, three-dimensional elasticity [M], Vol. I, North-Holland, Amesterdam, 1988.
10. Li Ta-tsien & Qin Tiehu, Physics and partial differential equations [M], Vol. II, Higher Educational Press, Beijing, 2000.