Wave Breaking Phenomena for the Fornberg–Whitham Equation

2020 ◽  
Author(s):  
Shaojie Yang
Keyword(s):  
Wave Breaking ◽  
Whitham Equation

scholarly journals Solution concepts, well-posedness, and wave breaking for the Fornberg–Whitham equation

2020 ◽  
Author(s):  
Günther Hörmann
Keyword(s):  
Cauchy Problem ◽  
Traveling Waves ◽  
Wave Breaking ◽  
Blow Up ◽  
Strong Solutions ◽  
Well Posedness ◽  
Solution Concepts ◽  
Nonlinear Operators ◽  
The Cauchy Problem ◽  
Whitham Equation

AbstractWe discuss concepts and review results about the Cauchy problem for the Fornberg–Whitham equation, which has also been called Burgers–Poisson equation in the literature. Our focus is on a comparison of various strong and weak solution concepts as well as on blow-up of strong solutions in the form of wave breaking. Along the way we add aspects regarding semiboundedness at blow-up, from semigroups of nonlinear operators to the Cauchy problem, and about continuous traveling waves as weak solutions.

scholarly journals Wave breaking for the Whitham equation with fractional dispersion

Nonlinearity ◽  
2014 ◽  
Vol 27 (12) ◽  
pp. 2937-2949 ◽  
Author(s):  
Vera Mikyoung Hur ◽  
Lizheng Tao
Keyword(s):  
Wave Breaking ◽  
Whitham Equation

scholarly journals Wave breaking in the Whitham equation

2017 ◽  
Vol 317 ◽  
pp. 410-437 ◽  
Author(s):  
Vera Mikyoung Hur
Keyword(s):  
Wave Breaking ◽  
Whitham Equation

scholarly journals Wave breaking for the Fornberg–Whitham equation

2017 ◽  
Vol 263 (12) ◽  
pp. 8178-8185 ◽  
Author(s):  
Susanna V. Haziot
Keyword(s):  
Wave Breaking ◽  
Whitham Equation
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