A mixed system of differential equations as a mathematical model of vibrations of continuum-discrete mechanical systems.
A mountain pass method for the numerical solution of semilinear wave equations.
A self-adjoint “simultaneous crossing of the axis”.
Asymptotic analysis, in a thin multidomain, of minimizing maps with values in
Asymptotic behaviour for a phase-field model with hysteresis in one-dimensional thermo-visco-plasticity
The asymptotic behaviour for of the solutions to a one-dimensional model for thermo-visco-plastic behaviour is investigated in this paper. The model consists of a coupled system of nonlinear partial differential equations, representing the equation of motion, the balance of the internal energy, and a phase evolution equation, determining the evolution of a phase variable. The phase evolution equation can be used to deal with relaxation processes. Rate-independent hysteresis effects in the strain-stress...