scholarly journals Global Solution and Asymptotic Behaviour for a Wave Equation type p-Laplacian with Memory

2018 ◽  
Vol 2(2018) (2) ◽  
pp. 156-171 ◽  
Author(s):  
Carlos Alberto Raposo ◽  
◽  
Adriano Pedreira Cattai ◽  
Joilson Oliveira Ribeiro ◽  
◽  
...  
Keyword(s):  
Wave Equation ◽  
Asymptotic Behaviour ◽  
Global Solution ◽  
With Memory

scholarly journals Global existence and dynamic structure of solutions for damped wave equation involving the fractional Laplacian

2021 ◽  
Vol 54 (1) ◽  
pp. 245-258
Author(s):  
Younes Bidi ◽  
Abderrahmane Beniani ◽  
Khaled Zennir ◽  
Ahmed Himadan
Keyword(s):  
Wave Equation ◽  
Global Solution ◽  
Fractional Laplacian ◽  
Necessary Conditions ◽  
Dynamic Structure ◽  
Decay Estimates ◽  
Damped Wave Equation ◽  
Structure Of Solutions ◽  
Nonlinear Source ◽  
Galerkin Approximations

Abstract We consider strong damped wave equation involving the fractional Laplacian with nonlinear source. The results of global solution under necessary conditions on the critical exponent are established. The existence is proved by using the Galerkin approximations combined with the potential well theory. Moreover, we showed new decay estimates of global solution.

scholarly journals Generalized diffusion-wave equation with memory kernel

2018 ◽  
Vol 52 (1) ◽  
pp. 015201 ◽  
Author(s):  
Trifce Sandev ◽  
Zivorad Tomovski ◽  
Johan L A Dubbeldam ◽  
Aleksei Chechkin
Keyword(s):  
Wave Equation ◽  
Memory Kernel ◽  
Diffusion Wave ◽  
With Memory

scholarly journals Wave equation with memory

1999 ◽  
Vol 5 (4) ◽  
pp. 881-896 ◽  
Author(s):  
Eugenio Sinestrari ◽  
Keyword(s):  
Wave Equation ◽  
With Memory

On the solutions of fractional-time wave equation with memory effect involving operators with regular kernel

2018 ◽  
Vol 115 ◽  
pp. 283-299 ◽  
Author(s):  
B. Cuahutenango-Barro ◽  
M.A. Taneco-Hernández ◽  
J.F. Gómez-Aguilar
Keyword(s):  
Wave Equation ◽  
Memory Effect ◽  
Regular Kernel ◽  
With Memory

scholarly journals On the Jordan–Moore–Gibson–Thompson Wave Equation in Hereditary Fluids with Quadratic Gradient Nonlinearity

2020 ◽  
Vol 23 (1) ◽  
Author(s):  
Vanja Nikolić ◽  
Belkacem Said-Houari
Keyword(s):  
Wave Equation ◽  
Nonlinear Effects ◽  
Global Solvability ◽  
Acoustic Wave Equation ◽  
Third Order ◽  
Memory Kernel ◽  
Energy Bounds ◽  
Ultrasonic Propagation ◽  
Gradient Nonlinearity ◽  
With Memory

AbstractWe prove global solvability of the third-order in time Jordan–More–Gibson–Thompson acoustic wave equation with memory in $${\mathbb {R}}^n$$ R n , where $$n \ge 3$$ n ≥ 3 . This wave equation models ultrasonic propagation in relaxing hereditary fluids and incorporates both local and cumulative nonlinear effects. The proof of global existence is based on a sequence of high-order energy bounds that are uniform in time, and derived under the assumption of an exponentially decaying memory kernel and sufficiently small and regular initial data.

Uniform decay of the solution to a wave equation with memory conditions on the boundary

2010 ◽  
Vol 73 (7) ◽  
pp. 2213-2220 ◽  
Author(s):  
Jieqiong Wu ◽  
Shengjia Li ◽  
Shugen Chai
Keyword(s):  
Wave Equation ◽  
Uniform Decay ◽  
With Memory
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