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Pré-Publication, Document De Travail Année : 2008

On Solutions of a Non linear Wave Equation Derived From Brain Activity Modeling

Résumé

In this work, we analyze a cerebral activity model proposed by Jirsa. Using a Galerkin approximation scheme, we prove existence and stability of global weak solutions to a damped non-linear wave equation that generalizes the cerebral activity equation. We prove uniqueness as well.
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Dates et versions

hal-00126996 , version 1 (27-01-2007)
hal-00126996 , version 2 (31-03-2007)
hal-00126996 , version 3 (19-04-2008)

Identifiants

  • HAL Id : hal-00126996 , version 3

Citer

Mouhamad Jradeh, Maïtine Bergounioux. On Solutions of a Non linear Wave Equation Derived From Brain Activity Modeling. 2008. ⟨hal-00126996v3⟩
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