Oblique repulsion in the nonnegative quadrant

We consider an electrostatic attractive-repulsive differential system in the nonnegative quadrant. Under some condition on the constants there exists a unique global solution. The main difficulty is to prove uniqueness when starting at the corner of the quadrant.

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Source https://hal.science/hal-00937563
Author Lépingle, Dominique
Maintainer CCSD
Last Updated May 7, 2026, 05:35 (UTC)
Created May 7, 2026, 05:35 (UTC)
Identifier hal-00937563
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) ; Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS)
creator Lépingle, Dominique
date 2014-01-28T00:00:00
harvest_object_id 4cc05839-7d19-4678-96dd-309f4f8acb6a
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-07-16T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1401.7209
set_spec type:UNDEFINED