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Global Existence and Energy Decay Rates for a Kirchhoff-Type Wave Equation with Nonlinear Dissipation Public Deposited

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  • The first objective of this paper is to prove the existence and uniqueness of global solutions for a Kirchhoff-type wave equation with nonlinear dissipation of the form Kuⁿ + 𝑀(|𝐴¹/²𝑢|²)𝐴𝑢 + 𝑔(𝑢')=0 under suitable assumptions on 𝐾, 𝐴, 𝑀(⋅), and 𝑔(⋅). Next, we under some growth conditions on the nonlinear dissipation 𝑔. Lastly, numerical simulations in order to verify the analytical results are given.
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  • Kim, D., Kim, D., Hong, K. S., & Jung, I. H. (2014). Global Existence and Energy Decay Rates for a Kirchhoff-Type Wave Equation with Nonlinear Dissipation. Scientific World Journal, 2014, 716740. doi:10.1155/2014/716740
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  • 2014
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  • Basic Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (Grant no. NRF-2013R1A1A2010704), Basic Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (Grant no. NRF-2012R1A1B3000599).
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