20.500.12556/RUL-125104 Linear hyperbolic systems on networks well-posedness and qualitative properties We study hyperbolic systems of one-dimensional partial differential equations under general, possibly non-local boundary conditions. A large class of evolution equations, either on individual 1-dimensional intervals or on general networks, can be reformulated in our rather flexible formalism, which generalizes the classical technique of first-order reduction. We study forward and backward well-posedness; furthermore, we provide necessary and sufficient conditions on both the boundary conditions and the coefficients arising in the first-order reduction for a given subset of the relevant ambient space to be invariant under the flow that governs the system. Several examples are studied. hyperbolic systems operator semigroups PDEs on networks invariance properties Saint-Venant system second sound akademska matematika hiperbolični sistemi operatorske polgrupe PDE na omrežjih invariantne lastnosti Saint-Venantovi sistemi drugi zvok true false true Angleški jezik Slovenski jezik Članek v reviji 2021-03-04 15:11:40 2021-03-04 15:11:41 2025-05-13 15:39:53 0000-00-00 00:00:00 2021 0 0 46 str. art. 7 Vol. 27 2021 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51 1292-8119 10.1051/cocv/2020091 51482883 513891097 cocv200061.pdf cocv200061.pdf 1 4920105296BF8E518751E8399B66BECD 682e494da94aa1c5655e5fcda80a536d8b5c9cc8998025b1a1f6a0557eb0b92a b3cd13ed-146a-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=201467 https://www.esaim-cocv.org/articles/cocv/abs/2021/02/cocv200061/cocv200061.html 0 91259b4b-146a-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=201466 Fakulteta za gradbeništvo in geodezijo 0 0 0