scholarly journals Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data

2021 ◽  
Author(s):  
Marius Paicu ◽  
Ping Zhang
Keyword(s):  
Global Existence ◽  
Decay Of Solutions ◽  
Prandtl System

Global existence and decay of solutions of a singular nonlocal viscoelastic system

2018 ◽  
Vol 69 (1) ◽  
pp. 125-149 ◽  
Author(s):  
Alaeddin Draifia ◽  
Abderrahmane Zarai ◽  
Salah Boulaaras
Keyword(s):  
Global Existence ◽  
Viscoelastic System ◽  
Decay Of Solutions

Global existence, nonexistence, and decay of solutions for a wave equation of p-Laplacian type with weak and p-Laplacian damping, nonlinear boundary delay and source terms

2021 ◽  
pp. 1-16
Author(s):  
Nouri Boumaza ◽  
Billel Gheraibia
Keyword(s):  
Global Existence ◽  
Nonlinear Boundary ◽  
Blow Up ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Asymptotic Behavior Of Solutions ◽  
Source Terms ◽  
Delay Term ◽  
Laplacian Equation ◽  
Decay Of Solutions

In this paper, we consider the initial boundary value problem for the p-Laplacian equation with weak and p-Laplacian damping terms, nonlinear boundary, delay and source terms acting on the boundary. By introducing suitable energy and perturbed Lyapunov functionals, we prove global existence, finite time blow up and asymptotic behavior of solutions in cases p > 2 and p = 2. To our best knowledge, there is no results of the p-Laplacian equation with a nonlinear boundary delay term.

Global existence and decay of solutions for the generalized bad Boussinesq equation

2013 ◽  
Vol 28 (3) ◽  
pp. 253-268 ◽  
Author(s):  
Hatice Taskesen ◽  
Necat Polat ◽  
Abdulkadir Ertaş
Keyword(s):  
Global Existence ◽  
Boussinesq Equation ◽  
Decay Of Solutions
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