Traveling-wave solutions of convection-diffusion systems by center manifold reduction

DOI10.1016/S0362-546X(01)00097-9zbMath1037.34023OpenAlexW1985277124MaRDI QIDQ1348729

Stephen Schecter

Publication date: 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00097-9

zbMATH Keywords

shock wavestraveling wavescenter manifold reductionnonconservation formconvection-diffusion systems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items

GRAPH SOLUTIONS OF NONLINEAR HYPERBOLIC SYSTEMS, APPROXIMATE SHOCK CURVES FOR NON-CONSERVATIVE HYPERBOLIC SYSTEMS IN ONE SPACE DIMENSION, Singularity crossing phenomena in DAEs: A two-phase fluid flow application case study

Cites Work

• Stable viscosity matrices for systems of conservation laws
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Two-phase flow: Models and methods
• Center manifolds and contractions on a scale of Banach spaces
• Geometric singular perturbation theory for ordinary differential equations
• Definition and weak stability of nonconservative products
• A higher-order Godunov method for modeling finite deformation in elastic-plastic solids
• Existence theory for nonlinear hyperbolic systems in nonconservative form
• A NONCONSERVATIVE HYPERBOLIC SYSTEM MODELING SPRAY DYNAMICS. PART I: SOLUTION OF THE RIEMANN PROBLEM
• Traveling-Wave Solutions of Convection-Diffusion Systems in Nonconservation Form
• Unnamed Item
• Unnamed Item