Existence and Uniqueness of a Classical Solution of an Initial-Boundary Value Problem of the Theory of Shallow Waters

1981 ◽  
Vol 12 (2) ◽  
pp. 229-241 ◽  
Author(s):  
Bui An Ton
Keyword(s):  
Boundary Value Problem ◽  
Classical Solution ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Shallow Waters ◽  
Initial Boundary Value

The initial value problem for a nonlinear semi-infinite string

1978 ◽  
Vol 82 (1-2) ◽  
pp. 19-26 ◽  
Author(s):  
R. W. Dickey
Keyword(s):  
Boundary Value Problem ◽  
Classical Solution ◽  
Initial Value Problem ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Initial Value ◽  
Galerkin Procedure ◽  
Initial Boundary Value ◽  
Infinite String

SynopsisThe existence of a classical solution to the initial boundary value problem for a semi-infinite extensible string is proved. The result is obtained by using a Galerkin procedure on a semi-infinite interval.

Initial-Boundary Value Problem on Unsteady Flows in a Canal

2015 ◽  
Vol 723 ◽  
pp. 136-139
Author(s):  
Da Yong Nie
Keyword(s):  
Boundary Value Problem ◽  
Classical Solution ◽  
Boundary Value ◽  
Unsteady Flows ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Initial Boundary Value

In this paper we consider initial-boundary value problem on unsteady flows in a canal, which is an important model in hydrodynamics, under certain assumptions, the global resolvability of classical solution is obtained by using the method of global extension.

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.

scholarly journals On dynamics of viscoelastic multidimensional medium with variable boundary

2002 ◽  
Vol 7 (9) ◽  
pp. 475-495
Author(s):  
V. P. Orlov
Keyword(s):  
Boundary Value Problem ◽  
Existence And Uniqueness ◽  
Continuous Medium ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Uniqueness Theorems ◽  
System Of Equations ◽  
Variable Boundary ◽  
Initial Boundary Value

We prove the existence and uniqueness theorems for solutions of an initial-boundary value problem to the system of equations, which describes dynamics of viscoelastic continuous medium with a variable boundary and a memory along the trajectories of particles in classes of summable functions.

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