Nonautonomous initial-boundary value problems in the viscoplasticity theory

作者：Pompe Waldemar^*

来源：Asymptotic Analysis, 2010, 66(2): 87-102.

DOI：10.3233/ASY-2009-0960

• viscoplasticity models
• Orlicz spaces
• semigroups of contractions

We prove existence of a solution to the nonautonomous, noncoercive, quasistatic models in the viscoplasticity theory. This extends the results shown earlier by the author in Math. Methods Appl. Sci. 27 (2004), 1347-1365 and Math. Methods Appl. Sci. 31 (2008), 775-792, for the autonomous case. As a special case we obtain existence of the solution to the nonautonomous kinematic hardening model, where the constitutive nonlinearity has a polynomial or a rapid growth at infinity.

• 出版日期2010