Singular solutions for a class of traveling wave equations arising in hydrodynamics

We give an exhaustive characterization of singular weak solutions for ordinary differential equations of the form üu+12u̇2+F′(u)=0, where F is an analytic function. Our motivation stems from the fact that in the context of hydrodynamics several prominent equations are reducible to an equation of th...

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Veröffentlicht in:	Nonlinear analysis: real world applications Jg. 31; S. 57 - 76
Hauptverfasser:	Geyer, Anna, Mañosa, Víctor
Format:	Journal Article Verlag
Sprache:	Englisch
Veröffentlicht:	Elsevier Ltd 01.10.2016
Schlagworte:	35 Partial differential equations 35Q Equations of mathematical physics and other areas of application 37 Dynamical systems and ergodic theory 37C Smooth dynamical systems: general theory 37N Applications 76 Fluid mechanics 76B Incompressible inviscid fluids Camassa-Holm equations Camassa–Holm equation Classificació AMS Differential equations Differential equations, Partial Equacions diferencials i integrals Equacions diferencials parcials Equacions diferencials singulars Fluid dynamics Fluid flow Hidrodinàmica Hydrodinamics Hydrodynamics Integrable vector fields Matemàtiques i estadística Mathematical analysis Periodic solutions Singular ordinary differential equations Stems Surface waves Traveling waves Àrees temàtiques de la UPC Camassa–Holm equation Traveling waves Integrable vector fields Singular ordinary differential equations
ISSN:	1468-1218, 1878-5719
Online-Zugang:	Volltext
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