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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...
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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...
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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...