Global existence of nonlinear elastic waves
نویسندگان
چکیده
منابع مشابه
The Null Condition and Global Existence of Nonlinear Elastic Waves
The equations of motion for the displacement of an isotropic, homogeneous, hyperelastic material form a quasilinear hyperbolic system, Lu = ∂ t u− c2∆u− (c1 − c2)∇(∇ · u) = F (∇u)∇u, in three space dimensions, with wave speeds 0 < c2 < c1 and a nonlinearity, the precise form of which will be spelled out in later sections. We shall prove that for certain classes of materials, small initial distu...
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ژورنال
عنوان ژورنال: Inventiones Mathematicae
سال: 2000
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s002220000084