دورية أكاديمية
Existence and uniqueness for a viscoelastic Kelvin-Voigt model with nonconvex stored energy
| العنوان: | Existence and uniqueness for a viscoelastic Kelvin-Voigt model with nonconvex stored energy |
|---|---|
| المؤلفون: | Koumatos, Konstantinos, Tzavaras, Athanasios, Spirito, Stefano, Lattanzio, Corrado |
| بيانات النشر: | World Scientific |
| سنة النشر: | 2023 |
| المجموعة: | University of Sussex: Sussex Research Online |
| الوصف: | We consider nonlinear viscoelastic materials of Kelvin-Voigt type with stored energies satisfying an Andrews-Ball condition, allowing for non convexity in a compact set. Existence of weak solutions with deformation gradients in H1 is established for energies of any superquadratic growth. In two space dimensions, weak solutions notably turn out to be unique in this class. Conservation of energy for weak solutions in two and three dimensions, as well as global regularity for smooth initial data in two dimensions are established under additional mild restrictions on the growth of the stored energy. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| العلاقة: | http://sro.sussex.ac.uk/id/eprint/111765/1/KLST.pdfTest; Koumatos, Konstantinos, Tzavaras, Athanasios, Spirito, Stefano and Lattanzio, Corrado (2023) Existence and uniqueness for a viscoelastic Kelvin-Voigt model with nonconvex stored energy. Journal of Hyperbolic Differential Equations. ISSN 0219-8916 (Accepted) |
| الإتاحة: | http://sro.sussex.ac.uk/id/eprint/111765Test/ http://sro.sussex.ac.uk/id/eprint/111765/1/KLST.pdfTest |
| رقم الانضمام: | edsbas.C9ADB430 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |