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Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds
Thomas C. Sideris, Shu-Yi Tu
Global smooth solutions to the initial value problem for systems of nonlinear wave equations with multiple propagation speeds will be constructed in the case of small initial data…
math.AP2000
Nonresonance and global existence of prestressed nonlinear elastic waves
Thomas C. Sideris
The nonlinear hyperbolic system of pde's governing the evolution of the deformation of isotropic hyperelastic materials is considered. In the absence of boundaries and with an addi…