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Global existence and optimal decay rate of solutions for the degenerate quasilinear wave equation with a strong dissipation

✍ Scribed by Mimouni, Salima; Benaissa, Abbes; Amroun, Nour-Eddine


Book ID
127164264
Publisher
Taylor and Francis Group
Year
2010
Tongue
English
Weight
193 KB
Volume
89
Category
Article
ISSN
0003-6811

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Global existence and optimal decay rate
✍ Yanjin Wang; Zhong Tan πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 230 KB

We prove the global existence of a unique strong solution to the compressible Navier-Stokes equations when the initial perturbation is small in H 2 . If further that the L 1 norm of initial perturbation is finite, we prove the optimal L 2 decay rates for such a solution and its first-order spatial d