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- W4381466671 abstract "We consider the Dirichlet–Neumann problem and the spatially periodic Cauchy problem for a nonlinear hyperbolic system with damping and diffusion introduced in [13] for the study of chaos. Firstly, the existence and uniqueness of global solutions with large initial data is established. Then the zero diffusion limits are justified. Moreover, the $ L^2 $ convergence rate in terms of the diffusion coefficient is obtained. Based on a new observation of the structure of the system, two equalities are found to show the existence of global large solutions of the system." @default.
- W4381466671 created "2023-06-22" @default.
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- W4381466671 date "2023-01-01" @default.
- W4381466671 modified "2023-09-28" @default.
- W4381466671 title "Unique solvability and zero diffusion limits of global large solution for a nonlinear hyperbolic system with damping and diffusion" @default.
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- W4381466671 doi "https://doi.org/10.3934/dcdsb.2023083" @default.
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