Elastoplastik-Mikro Yapı Modellerinde Ortaya Çıkan Doğrusal Olmayan Evolüsyon Denklemi İçin Varlık Sonuçları

Bu çalışmada, sınırlı bir alanda elastoplastik-mikroyapı modellerinde ortaya çıkan doğrusal olmayan bir evrim denklemi için global varlık sonuçları potential well metodu kullanılarak oluşturulmuştur. Potential well yöntemi için bir fonksiyonel tanımlanmış ve bu fonksiyonelin işaret değişmezliği kullanılarak yüksek başlangıç enerjili durumda global varlık kanıtlanmıştır.

Existence Results for a Nonlinear Evolution Equation Arising in ElastoplasticMicrostructure Models

We establish global existence results for a nonlinear evolution equation which arises in elastoplastic-microstructure models on a bounded domain, employing potential well method. A functional is defined for the potential well method, and global existence is proved by use of sign invariance of this functional in the case of high initial energy.

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