scholarly journals Initial-Boundary Value Problem for Stimulated Raman Scattering Model: Solvability of Whitham Type System of Equations Arising in Long-Time Asymptotic Analysis

2018 ◽  
Author(s):  
Rustem R. Aydagulov ◽  
◽  
Alexander A. Minakov ◽  
Keyword(s):  
Boundary Value Problem ◽  
Raman Scattering ◽  
Asymptotic Analysis ◽  
Stimulated Raman Scattering ◽  
Type System ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
System Of Equations ◽  
Long Time ◽  
Initial Boundary Value

scholarly journals Filtration of Liquid in a Non-isothermal Viscous Porous Medium

2020 ◽  
pp. 763-773
Author(s):  
Alexander A. Papin ◽  
Margarita A. Tokareva ◽  
Rudolf A. Virts
Keyword(s):  
Porous Medium ◽  
Boundary Value Problem ◽  
Fluid Motion ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Heat Conducting ◽  
System Of Equations ◽  
One Dimensional ◽  
Unsteady Fluid ◽  
Initial Boundary Value

The solvability of the initial-boundary value problem is proved for the system of equations of one-dimensional unsteady fluid motion in a heat-conducting viscous porous medium

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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