DAEs arising from traveling wave solutions of PDEs

DOI10.1016/S0377-0427(97)00084-8zbMath0952.34002OpenAlexW2163306195MaRDI QIDQ1372049

Stephen L. Campbell, Wieslaw Marszalek

Publication date: 5 September 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(97)00084-8

zbMATH Keywords

differential-algebraic equationstraveling wavesequilibriaexplicit and implicit PDEs

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Bifurcation theory for ordinary differential equations (34C23) Magnetohydrodynamics and electrohydrodynamics (76W05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Ordinary differential equations and systems on manifolds (34C40)

Related Items

Fold points and singularity induced bifurcation in inviscid transonic flow, Singular bifurcations in higher index differential-algebraic equations, Singularity induced bifurcations in multiple transonic crossings of unsteady self-similar gravitational flows, DAEs arising from traveling wave solutions of PDEs. II, Estimation and global stability analysis of PDAEs with singular time derivative matrix and wetland conservation application, Center projections for smooth difference equations of mixed type, Stability of singular equilibria in quasilinear implicit differential equations, Singularity crossing phenomena in DAEs: A two-phase fluid flow application case study, The Flexibility of DAE Formulations, Criteria for the trivial solution of differential algebraic equations with small nonlinearities to be asymptotically stable, On singular equilibria of index-1 DAEs, On quasi-linear PDAEs with convection: Applications, indices, numerical solution

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