scholarly journals Nonlinear Wave Equation for Ultrasound Beam in Nonuniform Bubbly Liquids

2011 ◽  
Vol 6 (2) ◽  
pp. 279-290 ◽  
Author(s):  
Tetsuya KANAGAWA ◽  
Takeru YANO ◽  
Masao WATANABE ◽  
Shigeo FUJIKAWA
Keyword(s):  
Wave Equation ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Ultrasound Beam ◽  
Bubbly Liquids

On the global existence and asymptotic behavior of the solution of a nonlinear wave equation with past history

2021 ◽  
Vol 62 (3) ◽  
pp. 031512
Author(s):  
Adel M. Al-Mahdi ◽  
Mohammad M. Al-Gharabli ◽  
Mohammad Kafini ◽  
Shadi Al-Omari
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Global Existence ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Past History
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