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Boundary stabilization of Bresse systems
We analyze the Bresse system with partial boundary dissipation. Our main result is to prove that these dissipative mechanisms are enough to stabilize...
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Polynomial decay of an elastic/viscoelastic waves interaction system
In this paper, we consider a coupled system which models elastic and viscoelastic waves, evolving in two distinct domains, connected through a common...
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KDV limit of the hydromagnetic waves in cold plasma
In this paper, we study the long wavelength limit for the hydromagnetic waves propagating across a magnetic field in cold plasma. Based on the...
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On the sensitivity of the transmission of boundary dissipation for strongly coupled and indirectly damped systems of wave equations
We consider the stability of a system of two strongly coupled wave equations by means of only one boundary feedback. We show that the stability of...
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Pullback attractors of nonautonomous nonclassical diffusion equations with nonlocal diffusion
In this paper, we are concerned with the long-time behavior of solutions to a nonautonomous nonclassical diffusion equation with nonlocal diffusion...
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Global attractors for a nonlinear one-dimensional compressible viscous micropolar fluid model
This paper considers the dynamical behavior of solutions of constitutive systems for 1D compressible viscous and heat-conducting micropolar fluids....
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Convergence to equilibria of global solutions to a degenerate quasilinear Keller–Segel system
This paper is devoted to the longtime behavior of global weak solutions to initial-boundary value problems of the following degenerate quasilinear...
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On the stabilization of viscoelastic laminated beams with interfacial slip
In this paper, we consider a viscoelastic laminated beam model. This structure is given by two identical uniform layers on top of each other, taking...
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Moore–Gibson–Thompson equation with memory in a history framework: a semigroup approach
This paper is concerned with existence and uniform (exponential) stability results for a Moore–Gibson–Thompson equation with memory recently...
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Asymptotic behavior and global existence of solutions to a two-species chemotaxis system with two chemicals
We study a nonlinear system of differential equations describing the evolution of a competitive two-species chemotaxis system with two chemicals in a...
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Uniform stabilization of wave equation with localized internal dam** and acoustic boundary condition with viscoelastic dam**
In this paper, we deal with the uniform stabilization to the mixed problem for a nonlinear wave equation and acoustic boundary conditions on a...
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Dynamical behaviors of solutions to nonlinear wave equations with vanishing local dam** and Wentzell boundary conditions
We are concerned with dynamical behaviors of solutions to nonlinear damped wave equations with nonlinear dam**s and force terms, and subject to...
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Traveling waves in the Kermack–McKendrick epidemic model with latent period
We study traveling waves for a diffusive susceptible–infected–recovery model, due to Kermack and McKendrick, of an epidemic with standard incidence...
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Asymptotic behavior of solutions to an electromagnetic fluid model
In the present paper, we investigate the asymptotic behavior of solutions to an electromagnetic fluid system for viscous compressible flow without...
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Asymptotic decay and non-rupture of viscous sheets
For a nonlinear system of coupled PDEs, that describes evolution of a viscous thin liquid sheet and takes account of surface tension at the free...
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Large-time behavior of the spherically symmetric compressible Navier–Stokes equations with degenerate viscosity coefficients
This paper is concerned with the vacuum free boundary problem for the compressible spherically symmetric Navier–Stokes equations with an external...