On new exact solutions of a nonlinear diffusion system that describes the growth of protein crystals

1998 ◽  
Vol 50 (8) ◽  
pp. 1262-1279
Author(s):  
R. M. Cherniha
Keyword(s):  
Exact Solutions ◽  
Nonlinear Diffusion ◽  
Diffusion System ◽  
Protein Crystals ◽  
New Exact Solutions

Exact solutions to nonlinear diffusion-convection problems on finite domains

1992 ◽  
Vol 33 (3) ◽  
pp. 384-401 ◽  
Author(s):  
G. C. Sander
Keyword(s):  
Exact Solutions ◽  
Nonlinear Diffusion ◽  
Lower Boundary ◽  
Finite Domain ◽  
Initial Condition ◽  
New Exact Solutions ◽  
Special Cases ◽  
Diffusion And Convection ◽  
Diffusion Convection ◽  
Finite Domains

AbstractNew exact solutions are presented for nonlinear diffusion and convection on a finite domain 0 ≤ z ≤ 1. These solutions are developed for the conditions of constant fluxes at both boundaries z = 0 and z = 1. In particular, solutions for the flux QL at the lower boundary z = 1, being a multiple of the flux Qs at the surface z = 0, (that is QL = aQs, where a = constant), are presented. Solutions for any constant, a, are given for an initial condition which is independent of space z. For the special cases (i) a = 1, and (ii) Qs = 0 and hence QL = 0, solutions are given for an initial condition which has an arbitrary dependence on z.

New Exact Solutions of Steady Plane Flows of an In Compressible Fluid of Variable Viscosity

2016 ◽  
Vol 2 (1) ◽  
Author(s):  
Sobia Younus
Keyword(s):  
Exact Solutions ◽  
Stream Function ◽  
Compressible Fluid ◽  
Variable Viscosity ◽  
Plane Motion ◽  
Transformation Technique ◽  
Vorticity Distribution ◽  
New Exact Solutions ◽  
Steady Plane ◽  
Uniform Stream

<span>Some new exact solutions to the equations governing the steady plane motion of an in compressible<span> fluid of variable viscosity for the chosen form of the vorticity distribution are determined by using<span> transformation technique. In this case the vorticity distribution is proportional to the stream function<span> perturbed by the product of a uniform stream and an exponential stream<br /><br class="Apple-interchange-newline" /></span></span></span></span>

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