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

Anahtar Kelimeler:

Evolüsyon denklemi, Yüksek başlangıç enerjisi, Global çözüm, Başlangıç-sınır değer problemi

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.

Keywords:

Evolution equation, High initial energy level, Global solution, Initial-boundary value problem,

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