Existence Results for a Nonlinear Evolution Equation Arising in ElastoplasticMicrostructure Models

Year 2019, Volume: 7 Issue: 2, 312 - 315, 25.05.2019

Hatice Taşkesen

https://doi.org/10.21541/apjes.477603

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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