Traveling waves for conservation laws with cubic nonlinearity and BBM type dispersion

DOI10.1016/j.jde.2015.04.019zbMath1320.35142arXiv1410.5121OpenAlexW2051984744WikidataQ57435814 ScholiaQ57435814MaRDI QIDQ2351990

Michael Shearer, Kimberly R. Spayd, Ellen R. Swanson

Publication date: 29 June 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.5121

zbMATH Keywords

non-convex fluxesdissipative and dispersive higher-order terms

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Traveling wave solutions (35C07)

Related Items (3)

Capillary hysteresis and gravity segregation in two phase flow through porous media ⋮ Travelling wave solutions for the Richards equation incorporating non-equilibrium effects in the capillarity pressure ⋮ Potential systems of a Buckley-Leverett equation: Lie point symmetries and conservation laws

Cites Work

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• Macroscopic models for vehicular flows and crowd dynamics: theory and applications. Classical and non-classical advanced mathematics for real life applications
• Travelling wave solutions of the modified Korteweg-deVries-Burgers equation
• Kinetic relations and the propagation of phase boundaries in solids
• Travelling wave solutions for degenerate pseudo-parabolic equations modelling two-phase flow in porous media
• Convergence of vanishing capillarity approximations for scalar conservation laws with discontinuous fluxes
• The Buckley–Leverett Equation with Dynamic Capillary Pressure
• Hyperbolic systems of conservation laws II
• Admissible solutions of hyperbolic conservation laws
• Undercompressive shocks and Riemann problems for scalar conservation laws with non-convex fluxes
• The Riemann problem for a system of conservation laws of mixed type with a cubic nonlinearity
• Discontinuous solutions of non-linear differential equations
• Solutions in the large for nonlinear hyperbolic systems of equations
• Model equations for long waves in nonlinear dispersive systems
• Pedestrian flows and non-classical shocks

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