Time-Periodic Solutions to Quasilinear Hyperbolic Systems on General Networks

Peng Qu

doi:10.1007/s11401-024-0003-y

Chinese Annals of Mathematics, Series B ›› 2024, Vol. 45 ›› Issue (1) : 41 -72. DOI: 10.1007/s11401-024-0003-y

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Time-Periodic Solutions to Quasilinear Hyperbolic Systems on General Networks

Peng Qu ¹^,^a

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Abstract

For quasilinear hyperbolic systems on general networks with time-periodic boundary-interface conditions with a dissipative structure, the existence and stability of the time-periodic classical solutions are discussed.

Keywords

Time-periodic solution / Quasilinear hyperbolic system / General network / Classical solution / Asymptotic stability

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Peng Qu. Time-Periodic Solutions to Quasilinear Hyperbolic Systems on General Networks. Chinese Annals of Mathematics, Series B, 2024, 45(1): 41-72 DOI:10.1007/s11401-024-0003-y