On a quasilinear wave equation with memory

1991 ◽  
Vol 16 (1) ◽  
pp. 61-78 ◽  
Author(s):  
Ricardo Torrejón ◽  
Jiongmin Yong
Keyword(s):  
Wave Equation ◽  
Quasilinear Wave Equation ◽  
With Memory

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.

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