Mathematical analysis for a model system of complex fluids

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  • Mathematical analysis for a model system of complex fluids (Theoretical Developments to Phenomenon Analyses based on Nonlinear Evolution Equations)

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説明

We study a model system of complex fluids in one-dimensional case. We observe that our model system is transformed into a hyperbolic system of balance laws. Moreover we show that the system has a mathematical entropy and satisfies the stability condition. As the result, by applying the general theory for hyperbolic balance laws, we can prove the global existence and asymptotic decay of solutions to our model system.

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