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Global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator

Duong Trong Luyen, Nguyen Minh Tri (2016)

Annales Polonici Mathematici

The aim of this paper is to prove the existence of the global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator with a locally Lipschitz nonlinearity satisfying a subcritical growth condition.

Global existence and asymptotic behavior of solutions for a class of nonlinear degenerate wave equations.

Ye, Yaojun (2007)

Differential Equations & Nonlinear Mechanics

Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials

Elisabetta Rocca, Riccarda Rossi (2008)

Applications of Mathematics

This paper is devoted to the analysis of a one-dimensional model for phase transition phenomena in thermoviscoelastic materials. The corresponding parabolic-hyperbolic PDE system features a strongly nonlinear internal energy balance equation, governing the evolution of the absolute temperature $ϑ$ , an evolution equation for the phase change parameter $χ$ , including constraints on the phase variable, and a hyperbolic stress-strain relation for the displacement variable $𝐮$ . The main novelty of the model...

Displaying 1 – 7 of 7

Global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator

Global existence and asymptotic behavior of solutions for a class of nonlinear degenerate wave equations.

Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials

Global solutions to some nonlinear dissipative mildly degenerate Kirchhoff equations.

Global solvability for the degenerate Kirchhoff equation

Global solvability of a mixed problem for a nonlinear hyperbolic-parabolic equation in noncylindrical domains.

Global sovability for the degenerate Krichhoff equation with real anlytic data.

Currently displaying 1 – 7 of 7