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Creators/Authors contains: "Zhao, Kun"

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  1. ; ; (, JMLR)
    Free, publicly-accessible full text available June 30, 2026
  2. ; (, European Journal of Applied Mathematics)
    Abstract This article studies the dynamical behaviour of classical solutions of a hyperbolic system of balance laws, derived from a chemotaxis model with logarithmic sensitivity, with time-dependent boundary conditions. It is shown that under suitable assumptions on the boundary data, solutions starting in the$$H^2$$-space exist globally in time and the differences between the solutions and their corresponding boundary data converge to zero as time goes to infinity. There is no smallness restriction on the magnitude of the initial perturbations. Moreover, numerical simulations show that the assumptions on the boundary data are necessary for the above-mentioned results to hold true. In addition, numerical results indicate that the solutions converge asymptotically to time-periodic states if the boundary data are time-periodic. 
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  3. ; ; ; ; ; ; ; ; ; ; et al (, Nature Communications)
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  4. ; ; ; ; ; ; ; ; ; ; et al (, Proceedings of the International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI))
    Accepted Manuscript Full Text Available
  5. ; ; ; ; ; ; ; ; ; ; et al (, The 27th International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI 2024))
    Accepted Manuscript Full Text Available
  6. ; (, Journal of Differential Equations)
    Full Text Available 
  7. ; ; ; ; ; ; ; ; ; ; et al (, Springer Nature Switzerland)
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  8. ; ; ; ; ; ; ; ; ; ; et al (, Springer Nature Switzerland)
    Accepted Manuscript Full Text Available
  9. ; ; (, Journal of the Mechanics and Physics of Solids)
    Full Text Available 
  10. ; (, Journal of Differential Equations)
    Full Text Available