Linear hyperbolic systems on networks: well-posedness and qualitative properties
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Publication:4999509
DOI10.1051/cocv/2020091OpenAlexW3116706704WikidataQ115554801 ScholiaQ115554801MaRDI QIDQ4999509
Delio Mugnolo, Serge Nicaise, Marjeta Kramar Fijavž
Publication date: 7 July 2021
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.08281
hyperbolic systemsinvariance propertiesoperator semigroupssecond soundPDEs on networksSaint-Venant system
One-parameter semigroups and linear evolution equations (47D06) First-order hyperbolic systems (35L40) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items (9)
Flows on metric graphs with general boundary conditions ⋮ Telegraph systems on networks and port-Hamiltonians. II: Network realizability ⋮ Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness ⋮ Doubly nonlinear Schrödinger ground states on metric graphs ⋮ Symmetry breaking in two-dimensional square grids: persistence and failure of the dimensional crossover ⋮ Stability and asymptotic properties of dissipative evolution equations coupled with ordinary differential equations ⋮ Dirac gauge theory for topological spinors in 3+1 dimensional networks ⋮ Dynamic transmission conditions for linear hyperbolic systems on networks ⋮ Telegraph systems on networks and port-Hamiltonians. III: Explicit representation and long-term behaviour
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