On the initial-boundary value problem for the one-dimensional motion of an emulsion in a field of micro-accelerations and thermocapillary forces

2010 ◽  
Vol 4 (3) ◽  
pp. 371-379
Author(s):  
A. G. Petrova
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
One Dimensional ◽  
Thermocapillary Forces ◽  
The One ◽  
Initial Boundary Value

scholarly journals An Initial Boundary Value Problem for the Zakharov Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Quankang Yang ◽  
Charles Bu
Keyword(s):  
Boundary Value Problem ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Zakharov Equation ◽  
One Dimensional ◽  
Global Strong Solution ◽  
The One ◽  
Initial Boundary Value

This paper studies an inhomogeneous initial boundary value problem for the one-dimensional Zakharov equation. Existence and uniqueness of the global strong solution are proved by Galerkin’s method and integral estimates.

scholarly journals Formulation and analysis of a parabolic transmission problem on disjoint intervals

2012 ◽  
Vol 91 (105) ◽  
pp. 111-123 ◽  
Author(s):  
Bosko Jovanovic ◽  
Lubin Vulkov
Keyword(s):  
Boundary Value Problem ◽  
Weak Solutions ◽  
Parabolic Equations ◽  
Input Data ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Well Posedness ◽  
One Dimensional ◽  
Initial Boundary Value

We investigate an initial-boundary-value problem for one dimensional parabolic equations in disjoint intervals. Under some natural assumptions on the input data we proved the well-posedness of the problem. Nonnegativity and energy stability of its weak solutions are also studied.

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