Dynamical interface transition in ramified media with diffusion

DOI10.1080/03605309608821184zbMath0852.35057OpenAlexW2004448954MaRDI QIDQ4872527

Joachim von Below, Serge Nicaise

Publication date: 9 December 1996

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309608821184

zbMATH Keywords

interaction problems in ramified spacesinterface transition

Mathematics Subject Classification ID

Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (17)

Poincaré--Perron's method for the Dirichlet problem on stratified sets ⋮ Well-posedness and exponential stability of boundary control systems with dynamic boundary conditions ⋮ Blow Up for Reaction Diffusion Equations Under Dynamical Boundary Conditions† ⋮ Spectrum of a network of Euler-Bernoulli beams ⋮ Transmission problems with nonlocal boundary conditions and rough dynamic interfaces ⋮ The vanishing viscosity limit for Hamilton-Jacobi equations on networks ⋮ Effective junction conditions for degenerate parabolic equations ⋮ Viscosity solutions of eikonal equations on topological networks ⋮ Control of a network of Euler-Bernoulli beams ⋮ Riesz basis property and stability of planar networks of controlled strings ⋮ Boundary controllability of a chain of serially connected Euler-Bernoulli beams with interior masses ⋮ Stationary Mean Field Games Systems Defined on Networks ⋮ Stochastic reaction-diffusion equations on networks ⋮ The eigenvalue problem for networks of beams ⋮ Large deviation principle for spatial economic growth model on networks ⋮ Control of networks of Euler-Bernoulli beams ⋮ A model problem for mean field games on networks

Cites Work

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• Classical solvability of linear parabolic equations on networks
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Regular solutions of transmission and interaction problems for wave equations
• Oblique derivative and interface problems on polygonal domains and networks
• Nonlinear interaction problems

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