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| Time-Periodic Solutions to Quasilinear HyperbolicSystems on General Networks |
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Citation： |
Peng QU.Time-Periodic Solutions to Quasilinear HyperbolicSystems on General Networks[J].Chinese Annals of Mathematics B,2024,45(1):41~72 |
| Page view： 326
Net amount： 312 |
Authors： |
Peng QU; |
Foundation： |
This work was supported by the National Natural Science Foundation of China (Nos. 12122104,
11831011) and Shanghai Science and Technology Programs (Nos. 21ZR1406000, 21JC1400600,
19JC1420101). |
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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 |
Classification： |
35L50, 35L60, 35B10, 35B40, 35A09 |
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