On existence of a global solution to the initial-boundary value problem for the Boltzmann equation

1992 ◽  
Vol 34 (1) ◽  
pp. 128-138
Author(s):  
A. Sakabekov
Keyword(s):  
Boltzmann Equation ◽  
Boundary Value Problem ◽  
Global Solution ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
The Boltzmann Equation ◽  
Initial Boundary Value

scholarly journals On Initial-Boundary Value Problem on Semiaxis for Generalized Kawahara Equation

2019 ◽  
Vol 65 (4) ◽  
pp. 683-699
Author(s):  
A. V. Faminskii ◽  
E. V. Martynov
Keyword(s):  
Boundary Value Problem ◽  
Global Solution ◽  
Existence And Uniqueness ◽  
Large Time ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Higher Order ◽  
Kawahara Equation ◽  
Initial Boundary Value

In this paper, we consider initial-boundary value problem on semiaxis for generalized Kawahara equation with higher-order nonlinearity. We obtain the result on existence and uniqueness of the global solution. Also, if the equation contains the absorbing term vanishing at infinity, we prove that the solution decays at large time values.

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