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On Finite Fractal Dimension of the Global Attractor for the Wave Equation with Nonlinear Damping

✍ Scribed by Dalibor Pražák


Book ID
110400076
Publisher
Springer US
Year
2002
Tongue
English
Weight
123 KB
Volume
14
Category
Article
ISSN
1040-7294

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Dimension of the Global Attractor for St
✍ Shengfan Zhou 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 109 KB

The existence and estimate of the upper bound of the Hausdorff dimension of the global attractor for the strongly damped nonlinear wave equation with the Dirichlet boundary condition are considered by introducing a new norm in the phase space. The gained Hausdorff dimension decreases as the damping