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Volumn 58, Issue 6, 2005, Pages 750-788

Global existence for three-dimensional incompressible isotropic elastodynamics via the incompressible limit

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EID: 19844366897     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/cpa.20049     Document Type: Article
Times cited : (99)

References (22)
  • 1
    • 0034348197 scopus 로고    scopus 로고
    • Global existence of nonlinear elastic waves
    • Agemi, R. Global existence of nonlinear elastic waves. Invent. Math. 142 (2000), 225-250.
    • (2000) Invent. Math. , vol.142 , pp. 225-250
    • Agemi, R.1
  • 2
    • 19844366464 scopus 로고    scopus 로고
    • Weighted uniform decay estimates for solutions to Isotropic elastic wave equations
    • Agemi, R. Weighted uniform decay estimates for solutions to Isotropic elastic wave equations. Adv. Math. Sci. Appl. 12 (2002), 151-173.
    • (2002) Adv. Math. Sci. Appl. , vol.12 , pp. 151-173
    • Agemi, R.1
  • 4
    • 0027229325 scopus 로고
    • Global solutions of the equations of elastodynamics of incompressible neo-Hookean materials
    • Ebin, D. Global solutions of the equations of elastodynamics of incompressible neo-Hookean materials. Proc. Nat. Acad. Sci. U.S.A. 90 (1993), 3802-3805.
    • (1993) Proc. Nat. Acad. Sci. U.S.A. , vol.90 , pp. 3802-3805
    • Ebin, D.1
  • 5
    • 19844369310 scopus 로고    scopus 로고
    • Global solutions of the equations of elastodynamics for incompressible materials
    • Ebin, D. Global solutions of the equations of elastodynamics for incompressible materials. Electron. Res. Announc. Amer. Math. Soc. 2 (1996), 50-59.
    • (1996) Electron. Res. Announc. Amer. Math. Soc. , vol.2 , pp. 50-59
    • Ebin, D.1
  • 6
    • 84980163084 scopus 로고
    • Finite amplitude waves in a homogeneous Isotropic solid
    • John, F. Finite amplitude waves in a homogeneous Isotropic solid. Comm. Pure Appl. Math. 30 (1977), 421-446.
    • (1977) Comm. Pure Appl. Math. , vol.30 , pp. 421-446
    • John, F.1
  • 7
    • 0000014345 scopus 로고
    • Relativistic elastomechanics as a Lagrangian field theory
    • Kijowski, J.; Magli, G. Relativistic elastomechanics as a Lagrangian field theory. J. Geom. Phys. 9 (1992), 207-223.
    • (1992) J. Geom. Phys. , vol.9 , pp. 207-223
    • Kijowski, J.1    Magli, G.2
  • 8
    • 84990602599 scopus 로고
    • Uniform decay estimates and the Lorentz invariance of the classical wave equation
    • Klainerman, S. Uniform decay estimates and the Lorentz invariance of the classical wave equation. Comm. Pure Appl. Math. 38 (1985), 321-332.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 321-332
    • Klainerman, S.1
  • 10
    • 84980156074 scopus 로고
    • Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
    • Klainerman, S.; Majda, A. Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Comm. Pure Appl. Math. 34 (1981), 481-524.
    • (1981) Comm. Pure Appl. Math. , vol.34 , pp. 481-524
    • Klainerman, S.1    Majda, A.2
  • 11
    • 84990557419 scopus 로고
    • Compressible and incompressible fluids
    • Klainerman, S.; Majda, A. Compressible and incompressible fluids. Comm. Pure Appl. Math. 35 (1982), 629-651.
    • (1982) Comm. Pure Appl. Math. , vol.35 , pp. 629-651
    • Klainerman, S.1    Majda, A.2
  • 12
    • 0030549709 scopus 로고    scopus 로고
    • On almost global existence for nonrelativistic wave equations in 3D
    • Klainerman, S.; Sideris, T. On almost global existence for nonrelativistic wave equations in 3D. Comm. Pure Appl. Math. 49 (1996), 307-321.
    • (1996) Comm. Pure Appl. Math. , vol.49 , pp. 307-321
    • Klainerman, S.1    Sideris, T.2
  • 14
    • 0035615741 scopus 로고    scopus 로고
    • An Eulerian description of fluids containing visco-elastic particles
    • Liu, C.; Walkington, N. An Eulerian description of fluids containing visco-elastic particles. Arch. Ration. Mech. Anal. 159 (2001), no. 3, 229-252.
    • (2001) Arch. Ration. Mech. Anal. , vol.159 , Issue.3 , pp. 229-252
    • Liu, C.1    Walkington, N.2
  • 15
    • 0040027791 scopus 로고
    • The incompressible limit in nonlinear elasticity
    • Schochet, S. The incompressible limit in nonlinear elasticity. Comm. Math. Phys. 102 (1985), 207-215.
    • (1985) Comm. Math. Phys. , vol.102 , pp. 207-215
    • Schochet, S.1
  • 16
    • 0038139247 scopus 로고
    • The lifespan of smooth solutions to the three-dimensional compressible Euler equations and the incompressible limit
    • Sideris, T. The lifespan of smooth solutions to the three-dimensional compressible Euler equations and the incompressible limit. Indiana Univ. Math. J. 40 (1991), 535-550.
    • (1991) Indiana Univ. Math. J. , vol.40 , pp. 535-550
    • Sideris, T.1
  • 17
    • 0030532454 scopus 로고    scopus 로고
    • The null condition and global existence of nonlinear elastic waves
    • Sideris, T. The null condition and global existence of nonlinear elastic waves. Invent. Math. 123 (1996), 323-342.
    • (1996) Invent. Math. , vol.123 , pp. 323-342
    • Sideris, T.1
  • 18
    • 0001376924 scopus 로고    scopus 로고
    • Delayed singularity formation in 2d compressible flow
    • Sideris, T. Delayed singularity formation in 2d compressible flow. Amer. J. Math. 119 (1997), 371-422.
    • (1997) Amer. J. Math. , vol.119 , pp. 371-422
    • Sideris, T.1
  • 19
    • 0034399662 scopus 로고    scopus 로고
    • Nonresonance and global existence of prestressed nonlinear elastic waves
    • Sideris, T. Nonresonance and global existence of prestressed nonlinear elastic waves. Ann. of Math. (2) 151 (2000), 849-874.
    • (2000) Ann. of Math. (2) , vol.151 , pp. 849-874
    • Sideris, T.1
  • 20
    • 0036050729 scopus 로고    scopus 로고
    • Global existence for systems of nonlinear wave equations in 3D with multiple speeds
    • Sideris, T.; Tu, S.-Y. Global existence for systems of nonlinear wave equations in 3D with multiple speeds. SIAM J. Math. Anal. 33 (2001), 477-488.
    • (2001) SIAM J. Math. Anal. , vol.33 , pp. 477-488
    • Sideris, T.1    Tu, S.-Y.2
  • 21
    • 0005146806 scopus 로고    scopus 로고
    • Relativistic and nonrelativistic elastodynamics with small shear strains
    • Tahvildar-Zadeh, A. S. Relativistic and nonrelativistic elastodynamics with small shear strains. Ann. Inst. H. Poincare ́ Phys. Théor. 69 (1998), 275-307.
    • (1998) Ann. Inst. H. Poincare ́ Phys. Théor. , vol.69 , pp. 275-307
    • Tahvildar-Zadeh, A.S.1
  • 22
    • 0000570341 scopus 로고
    • The incompressible limit and the initial layer of the compressible Euler equation
    • Ukai, S. The incompressible limit and the initial layer of the compressible Euler equation. J. Math. Kyoto Univ. 26 (1986), 497-506.
    • (1986) J. Math. Kyoto Univ. , vol.26 , pp. 497-506
    • Ukai, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.