Two-Dimensional Solitary Waves in a Strained Nonlinear Viscoelastic Medium

2000 ◽  
Vol 46 (1) ◽  
pp. 100 ◽  
Author(s):  
G. A. Arshinov
Keyword(s):  
Solitary Waves ◽  
Viscoelastic Medium ◽  
Two Dimensional ◽  
Nonlinear Viscoelastic ◽  
Nonlinear Viscoelastic Medium

Weak longitudinal waves in a nonlinear viscoelastic medium

1973 ◽  
Vol 9 (9) ◽  
pp. 934-937
Author(s):  
Yu. M. Blitshtein ◽  
A. E. Limarev ◽  
S. I. Meshkov
Keyword(s):  
Viscoelastic Medium ◽  
Longitudinal Waves ◽  
Nonlinear Viscoelastic ◽  
Nonlinear Viscoelastic Medium

Comparison principles for free-surface flows with gravity

1991 ◽  
Vol 230 ◽  
pp. 231-243 ◽  
Author(s):  
Walter Craig ◽  
Peter Sternberg
Keyword(s):  
Solitary Waves ◽  
Finite Depth ◽  
Free Surface Flows ◽  
Immiscible Fluids ◽  
Steady Flows ◽  
Two Dimensional ◽  
Surface Flows ◽  
Ship Hulls ◽  
Geometrical Information ◽  
Supercritical Flows

This article considers certain two-dimensional, irrotational, steady flows in fluid regions of finite depth and infinite horizontal extent. Geometrical information about these flows and their singularities is obtained, using a variant of a classical comparison principle. The results are applied to three types of problems: (i) supercritical solitary waves carrying planing surfaces or surfboards, (ii) supercritical flows past ship hulls and (iii) supercritical interfacial solitary waves in systems consisting of two immiscible fluids.

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