This paper deals with the longterm properties of the thermoelastic nonlinear string-beam system related to the well-known Lazer-McKenna suspension bridge model. In particular no mechanical dissipation occurs in the equations, since the loss of energy is entirely due to thermal effects. The existence of regular global attractors for the associated solution semigroup is proved for time-independent supplies and any axial load
summary:We prove the existence of weak T-periodic solutions for a nonlinear mathematical model assoc...
In this paper, we analyze a linear problem describing the vibrations of a coupled suspension bridge....
In this paper we discuss some mathematical models describing the nonlinear vibrations of different k...
In this paper we study the long-term dynamics of a doubly nonlinear abstract system which involves a...
AbstractThis work is focused on the dissipative system{∂ttu+∂xxxxu+∂xxθ−(β+‖∂xu‖L2(0,1)2)∂xxu=f,∂tθ−...
In this paper we study the long-term dynamics of a doubly nonlinear abstract system which involves a...
This work is focused on the dissipative system $$ \begin{cases} \partial_{tt}u+\partial_{xxxx}u +\pa...
In this paper we study the long-term dynamics of a nonlinear suspension bridge system. The road bed...
AbstractIn this paper, we show the existence of the strong solutions for the coupled suspension brid...
We study the longtime behavior for thermoelastic coupled beam equations with strong damping and past...
AbstractA mathematical model of the suspension bridge describes the vibration of the road bed in the...
summary:We consider nonlinearly coupled string-beam equations modelling time-periodic oscillations i...
In this paper we discuss the well-posedness and the asymptotic behavior of a doubly nonlinear proble...
A nonlinear transmisson problem for an elastic full von Karman beam is considered here. We prove tha...
summary:We prove the existence of weak T-periodic solutions for a nonlinear mathematical model assoc...
In this paper, we analyze a linear problem describing the vibrations of a coupled suspension bridge....
In this paper we discuss some mathematical models describing the nonlinear vibrations of different k...
In this paper we study the long-term dynamics of a doubly nonlinear abstract system which involves a...
AbstractThis work is focused on the dissipative system{∂ttu+∂xxxxu+∂xxθ−(β+‖∂xu‖L2(0,1)2)∂xxu=f,∂tθ−...
In this paper we study the long-term dynamics of a doubly nonlinear abstract system which involves a...
This work is focused on the dissipative system $$ \begin{cases} \partial_{tt}u+\partial_{xxxx}u +\pa...
In this paper we study the long-term dynamics of a nonlinear suspension bridge system. The road bed...
AbstractIn this paper, we show the existence of the strong solutions for the coupled suspension brid...
We study the longtime behavior for thermoelastic coupled beam equations with strong damping and past...
AbstractA mathematical model of the suspension bridge describes the vibration of the road bed in the...
summary:We consider nonlinearly coupled string-beam equations modelling time-periodic oscillations i...
In this paper we discuss the well-posedness and the asymptotic behavior of a doubly nonlinear proble...
A nonlinear transmisson problem for an elastic full von Karman beam is considered here. We prove tha...
summary:We prove the existence of weak T-periodic solutions for a nonlinear mathematical model assoc...
In this paper, we analyze a linear problem describing the vibrations of a coupled suspension bridge....
In this paper we discuss some mathematical models describing the nonlinear vibrations of different k...