Please use this identifier to cite or link to this item: http://repository.vnu.edu.vn/handle/VNU_123/26811
Title: Remarks on traveling waves and equilibria in fluid dynamics with viscosity, capillarity, and heat conduction
Authors: Duc, Thanh Mai
Keywords: DEVRIES-BURGERS EQUATION;KINETIC RELATIONS;PHASE-TRANSITIONS;CONSERVATION-LAWS
Issue Date: 2014
Publisher: PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Citation: ISIKNOWLEDGE
Abstract: Heat conduction causes a tough obstacle in studying traveling waves in fluid dynamics. In this note we consider the fluid dynamics equations where viscosity, capillarity and heat conduction coefficients are present. First we transform the model into the one with an equation for the entropy as the conservation of energy. Then, given any traveling wave of the viscous-capillary-heat conductive model connecting two given states, we derive a corresponding system of differential equations. Then we show that this system of differential equations possesses the equilibria which correspond to the two states of the given traveling wave. This work may therefore motivate future study to solve challenging open questions on the stability of these equilibria and the existence of the traveling waves in fluid dynamics with heat conduction.
Description: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS Volume: 16 Pages: 40-47 Published: APR 2014
URI: http://www.sciencedirect.com/science/article/pii/S1468121813000758
Appears in Collections:Bài báo của ĐHQGHN trong Web of Science

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