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    Article

    Global exact boundary controllability for general first-order quasilinear hyperbolic systems

    For general first-order quasilinear hyperbolic systems, based on the analysis of simple wave solutions along characteristic trajectories, the global two-sided exact boundary controllability is achieved in a re...

    Cunming Liu, Peng Qu in Chinese Annals of Mathematics, Series B (2015)

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    Article

    Asymptotic stability of equilibrium state to the mixed initial-boundary value problem for quasilinear hyperbolic systems

    Under the internal dissipative condition, the Cauchy problem for inhomogeneous quasilinear hyperbolic systems with small initial data admits a unique global C 1 solution, which exponentially decay...

    Yanzhao Li, Cunming Liu in Chinese Annals of Mathematics, Series B (2015)

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    Article

    Global classical solutions to partially dissipative quasilinear hyperbolic systems with one weakly linearly degenerate characteristic

    For a kind of partially dissipative quasilinear hyperbolic systems without Shizuta-Kawashima condition, in which all the characteristics, except a weakly linearly degenerate one, are involved in the dissipatio...

    Peng Qu, Cunming Liu in Chinese Annals of Mathematics, Series B (2012)