Diffusion in networks with time-dependent transmission conditions

DOI10.1007/s00245-013-9225-1zbMath1301.35192arXiv1303.4951OpenAlexW2140753857WikidataQ122657903 ScholiaQ122657903MaRDI QIDQ742537

Marjeta Kramar Fijavž, Wolfgang Arendt, Dominik Dier

Publication date: 18 September 2014

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4951

zbMATH Keywords

diffusionasymptotic behaviorsesquilinear formsnon-autonomous evolution equationstime-dependent networks

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Parabolic equations and parabolic systems (35K99) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (7)

Well-posedness and exponential stability of boundary control systems with dynamic boundary conditions ⋮ Approximations with deep neural networks in Sobolev time-space ⋮ A time-dependent metric graph with a fourth-order operator on the edges ⋮ Classical and quantum wave dynamics on time-dependent geometric graph ⋮ Non-autonomous maximal regularity for forms of bounded variation ⋮ Random evolution equations: well-posedness, asymptotics, and applications to graphs ⋮ Population dynamics in river networks

Cites Work

• Maximal regularity for evolution equations governed by non-autonomous forms
• Functional analysis, Sobolev spaces and partial differential equations
• Classical solvability of linear parabolic equations on networks
• Modeling, analysis and control of dynamic elastic multi-link structures
• Asymptotic periodicity of flows in time-depending networks
• Variational and semigroup methods for waves and diffusion in networks
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