Variational statements of a statical problem of the elasticity theory under the preset external forces

• Дата: 2025
• Автори: Molchanov , I. N., Galba , E. F., Молчанов , И. Н., Галба , Е. Ф.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2025
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/9350
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The initial-value problem is considered for the equations of elastic equilibrium of moving bodies when stresses are specified on the surface of the body. Two variational problems that may be solved in unique fashion over the entire space are formulated for this problem, which is known to possess a u...