scholarly journals The second initial-boundary-value problem for a linear parabolic equation with a small parameter.

1968 ◽  
Vol 15 (4) ◽  
pp. 495-504 ◽  
Author(s):  
L. E. Bobisud
Keyword(s):  
Parabolic Equation ◽  
Boundary Value Problem ◽  
Small Parameter ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Linear Parabolic Equation ◽  
Initial Boundary Value

scholarly journals Boundary layer study of a nonlinear parabolic equation with a small parameter

2021 ◽  
Author(s):  
qin xulong ◽  
xu zhao ◽  
wenshu zhou
Keyword(s):  
Boundary Layer ◽  
Parabolic Equation ◽  
Boundary Value Problem ◽  
Small Parameter ◽  
Nonlinear Parabolic Equation ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Nonlinear Parabolic ◽  
Initial Boundary Value

This paper is concerned with the initial-boundary value problem for a nonlinear parabolic equation with a small parameter. The existence of a boundary layer as the parameter goes to zero is obtained together with the estimation on the thickness of the boundary layer. The main result extends an earlier work of Frid and Shelukhin (1999).

scholarly journals ON A 3D INITIAL-BOUNDARY VALUE PROBLEM FOR DETERMINING THE DYNAMICS OF IMPURITIES CONCENTRATION IN A HORIZONTAL LAYERED FINE-PORE MEDIUM

2019 ◽  
Vol 3 ◽  
pp. 60
Author(s):  
Sharif E. Guseynov ◽  
Ruslans Aleksejevs ◽  
Jekaterina V. Aleksejeva
Keyword(s):  
Parabolic Equation ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Analytical Approach ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Unsteady State ◽  
State Boundary ◽  
Initial Boundary Value

In the present paper, we propose an analytical approach for solving the 3D unsteady-state boundary-value problem for the second-order parabolic equation with the second and third types boundary conditions in two-layer rectangular parallelepipedic domain.

scholarly journals Smoothness of solutions of parabolic equations in regions with edges

1981 ◽  
Vol 84 ◽  
pp. 159-168 ◽  
Author(s):  
A. Azzam ◽  
E. Kreyszig
Keyword(s):  
Parabolic Equation ◽  
Boundary Value Problem ◽  
Bounded Domain ◽  
Parabolic Equations ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Smoothness Of Solutions ◽  
Initial Boundary Value ◽  
Simply Connected

We consider the mixed initial-boundary value problem for the parabolic equationin a region Ω × (0, T], where x = (x1, x2) and Ω ⊂ R2 is a simply-connected bounded domain having corners.

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