On the diffusion phenomenonof quasilinea
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Han Yang; Albert Milani
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Article
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2000
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Elsevier Science
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French
โ 109 KB
We consider the asymptotic behavior of solutions of the quasilinear hyperbolic equation with linear damping u tt + u tdiv(a(โu)โu) = 0, and show that they tend, as t โ +โ, to those of the nonlinear parabolic equation v tdiv(a(โv)โv) = 0, in the sense that the norm u(. , t)v(. , t) L โ (R n ) of the