Cauchy problem for a system of equations of plane dynamic elasticity theory

1978 ◽  
Vol 14 (5) ◽  
pp. 513-518
Author(s):  
V. I. Delei ◽  
M. P. Lenyuk
Keyword(s):  
Cauchy Problem ◽  
Elasticity Theory ◽  
System Of Equations ◽  
Dynamic Elasticity

Cauchy problem for a system of equations of three-dimensional elasticity theory

1992 ◽  
Vol 33 (1) ◽  
pp. 154-158 ◽  
Author(s):  
Sh. Ya. Yarmukhamedov ◽  
T. I. Ishankulov ◽  
O. I. Makhmudov
Keyword(s):  
Cauchy Problem ◽  
Elasticity Theory ◽  
Three Dimensional ◽  
System Of Equations ◽  
Three Dimensional Elasticity

scholarly journals Remarks on the Systems of Semilinear Fractional Rayleigh-Stokes Equation

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Le Dinh Long
Keyword(s):  
Cauchy Problem ◽  
Fourier Analysis ◽  
Stokes Equation ◽  
Stokes Equations ◽  
Newtonian Fluids ◽  
System Of Equations ◽  
Main Technique ◽  
The Cauchy Problem ◽  
The Stability

In this paper, we study the Cauchy problem for a system of Rayleigh-Stokes equations. In this system of equations, we use derivatives in the classical Riemann-Liouville sense. This system has many applications in some non-Newtonian fluids. We obtained results for the existence, uniqueness, and frequency of the solution. We discuss the stability of the solutions and find the solution spaces. Our main technique is to use the Banach mapping theorem combined with some techniques in Fourier analysis.

Cauchy Problem for Dynamic Elasticity Equations

2020 ◽  
Vol 56 (9) ◽  
pp. 1130-1139
Author(s):  
O. I. Makhmudov ◽  
I. E. Niyozov
Keyword(s):  
Cauchy Problem ◽  
Dynamic Elasticity ◽  
Elasticity Equations

Determination of eigenvalues and discontinuous eigenfunctions of the system of equations of elasticity theory

1994 ◽  
Vol 72 (2) ◽  
pp. 2998-3003
Author(s):  
V. V. Skopetskii ◽  
V. S. Deineka ◽  
O. A. Marchenko
Keyword(s):  
Elasticity Theory ◽  
System Of Equations

scholarly journals Asymptotic Integration of Dynamic Elasticity Theory Equations in the Case of Multilayered Thin Shell

2012 ◽  
Vol 12 (2) ◽  
pp. 56-64 ◽  
Author(s):  
Maria Vladimirovna Wilde ◽  
◽  
Leonid Yurievich Kossovich ◽  
Yulia Vladislavovna Shevtsova ◽  
◽  
...  
Keyword(s):  
Elasticity Theory ◽  
Thin Shell ◽  
Asymptotic Integration ◽  
Dynamic Elasticity

scholarly journals THE CAUCHY PROBLEM FOR THE SYSTEM OF EQUATIONS OF THERMOELASTICITY IN E^n

2014 ◽  
Vol 15 (1) ◽  
Author(s):  
Ikbol E. Niyozov ◽  
O. I. Makhmudov
Keyword(s):  
Cauchy Problem ◽  
Bounded Domain ◽  
Analytical Continuation ◽  
System Of Equations ◽  
The Cauchy Problem

ABSTRACT: In this paper we consider the problem of analytical continuation of solutions to the system of equations of thermoelasticity in a bounded domain from their values and values of their strains on a part of the boundary of this domain, i.e., we study the Cauchy problem. ABSTRAK: Di dalam kajian ini, kami menyelidiki masalah keselanjaran analitik bagi penyelesaian-penyelesaian terhadap sistem persamaan-persamaan termoelastik di dalam domain bersempadan berdasarkan nilai-nilainya dan nilai tegasannya bagi sebahagian daripada sempadan domain tersebut, iaitu kami mengkaji masalah Cauchy.

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