scholarly journals A generalization of the weighted Strichartz estimates for wave equations and an application to self-similar solutions

2006 ◽  
Vol 60 (2) ◽  
pp. 164-186 ◽  
Author(s):  
Jun Kato ◽  
Makoto Nakamura ◽  
Tohru Ozawa
Keyword(s):  
Wave Equations ◽  
Strichartz Estimates ◽  
Self Similar ◽  
Similar Solutions

KINEMATIC WAVE EQUATIONS FOR MOVABLE RIVERBEDS

2021 ◽  
pp. 43-54
Author(s):  
A. N. Krutov ◽  
◽  
S. Ya. Shkol’nikov ◽  
Keyword(s):  
Mathematical Model ◽  
Numerical Method ◽  
Wave Equations ◽  
Simple Wave ◽  
Kinematic Wave ◽  
Calculation Results ◽  
Self Similar ◽  
Similar Solutions ◽  
The Mathematical Model ◽  
Good Agreement

The mathematical model of kinematic wave, that is widely used in hydrological calculations, is generalized to compute processes in deformable channels. Self-similar solutions to the kinematic wave equations, namely, the discontinuous wave of increase and the “simple” wave of decrease are generalized. A numerical method is proposed for solving the kinematic wave equations for deformable channels. The comparison of calculation results with self-similar solutions revealed a good agreement.

scholarly journals On the Stability of Self-Similar Solutions to Nonlinear Wave Equations

2016 ◽  
Vol 343 (1) ◽  
pp. 299-310 ◽  
Author(s):  
Ovidiu Costin ◽  
Roland Donninger ◽  
Irfan Glogić ◽  
Min Huang
Keyword(s):  
Nonlinear Wave ◽  
Wave Equations ◽  
Nonlinear Wave Equations ◽  
Self Similar ◽  
The Stability ◽  
Similar Solutions
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