Singular ordinary differential equations - Search Results

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Articles, 2 records found

Articles	2 records found

53 p, 1.1 MB

Topological moduli space for germs of foliations II : universal deformations / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mattei, Jean-François (Université Paul Sabatier. Institut de Mathématiques de Toulouse) ; Salem, Eliane (Sorbonne Université. Institut de Mathématiques de Jussieu-Paris Rive Gauche)
This work deals with the topological classification of singular foliation germs on (C2,0). Working in a suitable class of foliations we fix the topological invariants given by the separatrix set, the Camacho-Sad indices and the projective holonomy representations and we prove the existence of a topological universal deformation through which every equisingular deformation uniquely factorizes up to topological conjugacy. [...]
2023 - DOI (Digital Object Identifier)

10.2422/2036-2145.202111_006
Annali della Scuola normale superiore di Pisa - Classe di scienze, In press 2023

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24 p, 563.0 KB

Singular solutions for a class of traveling wave equations arising in hydrodynamics / Geyer, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)
We give an exhaustive characterization of singular weak solutions for ordinary differential equations of the form 12^2 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 this form upon passing to a moving frame. [...]
2016 - DOI (Digital Object Identifier)

10.1016/j.nonrwa.2016.01.009
Nonlinear Analysis: Real World Applications, Vol. 31 (2016) , p. 57-76

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