basic boundary
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2017 ◽  
Vol 36 (3) ◽  
pp. 111-123 ◽  
Author(s):  
Pier Luigi Dall’Aglio ◽  
Mauro de Donatis ◽  
Carlotta Franceschelli ◽  
Cristiano Guerra ◽  
Veronica Guerra ◽  
...  

Abstract The geomorphological analysis of historically urbanized areas is the best scientific way to understand how the extant geomorphological factors conditioned urbanization. It also provides a baseline to enable comparisons to be made with the modern environment. This paper considers four urbanized historical sites on the Adriatic coast (Italy) that owe their urban development to particular geomorphological and environmental conditions that were modified over the centuries from the Roman age to the present day. The focus here is on the evolution of the shoreline and associated geomorphic variables (streambeds and river mouths migration). These factors are fundamental for determining the development of a city, both as basic boundary elements – therefore including defence and protection – and also for the development of harbours.


Author(s):  
Manana Chumburidze ◽  
David Lekveishvili

This paper is devoted to the development of approximation method for numerical solution of basic boundary-contact problems of coupled thermo-elasticity in the Green-Lindsay formulation. In particular, we consider a static system of partial differential equations for two-dimensional isotropic inhomogeneous elastic materials in assumptions that surfaces are sufficiently smooth. The tools applied in this development are based on singular integral equations, the potential method and the generalized Fourier series analysis.


2012 ◽  
Vol 134 (6) ◽  
Author(s):  
W. A. Khan ◽  
I. M. Pop

The effects of homogeneous–heterogeneous reactions on the steady viscoelastic fluid toward a stretching sheet are numerically investigated in this paper. The model developed by Chaudhary and Merkin for homogeneous–heterogeneous reactions in stagnation-point boundary-layer flow with equal diffusivities for reactant and autocatalyst is used for present stretching sheet problem in a viscoelastic fluid. The basic boundary layer partial differential equations of motion and concentration are reduced to ordinary differential (similarity) equations, which then are numerically solved using an implicit finite difference method in the case when the diffusion coefficients of both reactant and autocatalyst are equal. It is found that the concentration at the surface decreases with an increase in the viscoelastic parameter and strengths of the homogeneous, while heterogeneous reactions increase.


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