Sufficient condition for the existence of an inertial manifold for a hyperbolic equation with weak and strong dissipation |
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| Authors: | N A Chalkina |
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| Institution: | 1.Department of Mechanics and Mathematics,Moscow State University Vorob’evy Gory,Moscow,Russia |
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| Abstract: | In the paper, sufficient conditions for the existence of an inertial manifold for the equation u
tt
+ 2γ
w
u
t
− 2γ
s
Δu
t
− Δu = f(u) + g(u
t) are obtained. The nonlinear functions f and g are assumed to have the Lipschitz property. |
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| Keywords: | |
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