Existence Results for a Nonlinear Evolution Equation Arising in ElastoplasticMicrostructure Models

Abstract

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

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

Abstract

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

Keywords

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

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