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Abstract The paper investigates the existence of global attractor of the quasi-linear wave equation with strong damping u t t − γ Δ u t − Δ u + f… Click to show full abstract
Abstract The paper investigates the existence of global attractor of the quasi-linear wave equation with strong damping u t t − γ Δ u t − Δ u + f ( u ) = ∇ ⋅ ϕ ′ ( ∇ u ) + g . It proves that the energy solution of the equation is stable and the related dynamical system possesses a (strong) global attractor in natural energy space (rather than a weak one as known before). These results improve the recent ones in [13] .
Keywords:
global attractor;
attractor quasi;
attractor;
linear wave;
equation;
quasi linear
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
Link to full text (if available)
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
Link to full text (if available)
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recommendations!