A STUDY OF NONLOCAL SOLVABILITY CONDITIONS FOR THE EQUATION OF STATIONARY DISSIPATIVE STRUCTURES |
| 1 | |
| 2012 |
| scientific article | 517.9 | ||
| 122-128 | dislocation density, stationary dissipative structures, first-order nonlinear partial differential equation, method of an additional argument, global estimates |
| On the basis of a diffusion-dislocation model, a first-order nonlinear partial differential equation, called an equation of stationary dissipative structures, is derived from the second-order dislocation density equation. The conditions are found which provide the existence of a smooth nonlocal solution of this equation in an annulus with a width determined by internal characteristics of the problem. |
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