Second boundary-value problem in a half-strip for equation of parabolic type with the Bessel operator and Riemann–Liouvulle derivative

2017 ◽  
Vol 61 (7) ◽  
pp. 73-82
Author(s):  
F. G. Khushtova
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Parabolic Type ◽  
Bessel Operator ◽  
Half Strip

scholarly journals Global theorem of existence and uniqueness of the firstboundary value problem for nonlinear integrodifferential equations ofparabolic type

2017 ◽  
Vol 21 (3) ◽  
pp. 64-72
Author(s):  
O.P. Filatov
Keyword(s):  
Boundary Value Problem ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Parabolic Type ◽  
Current Application ◽  
Real Model ◽  
Fuel Tanks ◽  
The Difference ◽  
The Right ◽  
A Current

Global theorem of existence and uniqueness of solution of the first boundary value problem for nonlinear integrodifferential equation of parabolic type is proved. If the right-hand side of the equation is integrally bounded, then we have estimate of the norm of the difference of two solutions, which implies continuous dependence of solution on the initial function and uniqueness of so- lution of the first boundary value problem. The problem under consideration generalizes the real model for measuring the level of incompressible fluid in the fuel tanks missiles. Therefore, such problem have a current application.

scholarly journals Decay of Small Solutions for the Zakharov-Kuznetsov Equation posed on a half-strip

2011 ◽  
Vol 31 (1) ◽  
pp. 57
Author(s):  
Nikolai Larkin ◽  
Eduardo Tronco
Keyword(s):  
Initial Data ◽  
Boundary Value Problem ◽  
Global Solution ◽  
Exponential Decay ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Small Initial Data ◽  
Half Strip ◽  
Initial Boundary Value

We formulate in a half-strip an initial boundary value problem for the Zakharov-Kuznetsov equation. Assuming the existence of a regular global solution, we prove an exponential decay for small initial data.

Sign in / Sign up

Export Citation Format

Share Document