From the reviews: "This book gives a systematic investigation of convection in systems comprised of liquid layers with deformable interfaces. The equations and models are carefully developed. ... The literature review of recent works is very timely. ... This monograph pulls together the large amount of very recent theoretical and experimental works related to interfacial convection in multilayer systems and is a valuable contribution." (Yuriko Y. Renardy, Mathematical Reviews, Issue 2007 a) "The monograph integrates a large body of previous work on convection in infinitely extended and superposed plane layers of two and three immiscible liquids. ... The monograph appears to be mostly comprehensive and provides a good guide to the specialized literature (611 references are given) to which the authors themselves have contributed significantly." (Hendrik Kuhlmann, Zentralblatt MATH, Vol. 1100 (2), 2007) "In this book, the authors present a compendium of results on thermocapillary flows and on flows with both buoyancy and thermocapillarity. ... In summary, the bulk of this book is excellent and ... more valuable resource for mathematicians, physicists and engineers working on the stability of thermocapillary flows." (John Billingham, Journal of Fluid Mechanics, Vol. 581, 2007) From the reviews of the second edition: "This book provides a fundamental and comprehensive presentation of physical and mathematical principles of interfacial convection in multilayer systems, pointing out the most important practical applications. The book is well written and readable. ... The book will be of interest and useful to a wide range of specialists working in fluid dynamics, heat and mass transfer and applied mathematics, such as university students, graduate students, design engineers, physicists, chemical engineers, and also researchers interested in the mathematical theory of interfacial convection in multilayer systems." (Ioan Pop, Zentralblatt MATH, Vol. 1237, 2012)

• Introduction.- Types of convective instabilities in systems with an interface.- Benard problem in multilayer systems with undeformable interfaces.- Benard problem in multilayer systems with deformable interfaces.- Stability of flows.- Outlook.

From the reviews: "This book gives a systematic investigation of convection in systems comprised of liquid layers with deformable interfaces. The equations and models are carefully developed. ... The literature review of recent works is very timely. ... This monograph pulls together the large amount of very recent theoretical and experimental works related to interfacial convection in multilayer systems and is a valuable contribution." (Yuriko Y. Renardy, Mathematical Reviews, Issue 2007 a) "The monograph integrates a large body of previous work on convection in infinitely extended and superposed plane layers of two and three immiscible liquids. ... The monograph appears to be mostly comprehensive and provides a good guide to the specialized literature (611 references are given) to which the authors themselves have contributed significantly." (Hendrik Kuhlmann, Zentralblatt MATH, Vol. 1100 (2), 2007) "In this book, the authors present a compendium of results on thermocapillary flows and on flows with both buoyancy and thermocapillarity. ... In summary, the bulk of this book is excellent and ... more valuable resource for mathematicians, physicists and engineers working on the stability of thermocapillary flows." (John Billingham, Journal of Fluid Mechanics, Vol. 581, 2007) From the reviews of the second edition: "This book provides a fundamental and comprehensive presentation of physical and mathematical principles of interfacial convection in multilayer systems, pointing out the most important practical applications. The book is well written and readable. ... The book will be of interest and useful to a wide range of specialists working in fluid dynamics, heat and mass transfer and applied mathematics, such as university students, graduate students, design engineers, physicists, chemical engineers, and also researchers interested in the mathematical theory of interfacial convection in multilayer systems." (Ioan Pop, Zentralblatt MATH, Vol. 1237, 2012)

• Introduction.- Types of convective instabilities in systems with an interface.- Benard problem in multilayer systems with undeformable interfaces.- Benard problem in multilayer systems with deformable interfaces.- Stability of flows.- Outlook.

From the reviews: "This book gives a systematic investigation of convection in systems comprised of liquid layers with deformable interfaces. The equations and models are carefully developed. ... The literature review of recent works is very timely. ... This monograph pulls together the large amount of very recent theoretical and experimental works related to interfacial convection in multilayer systems and is a valuable contribution." (Yuriko Y. Renardy, Mathematical Reviews, Issue 2007 a) "The monograph integrates a large body of previous work on convection in infinitely extended and superposed plane layers of two and three immiscible liquids. ... The monograph appears to be mostly comprehensive and provides a good guide to the specialized literature (611 references are given) to which the authors themselves have contributed significantly." (Hendrik Kuhlmann, Zentralblatt MATH, Vol. 1100 (2), 2007) "In this book, the authors present a compendium of results on thermocapillary flows and on flows with both buoyancy and thermocapillarity. ... In summary, the bulk of this book is excellent and ... more valuable resource for mathematicians, physicists and engineers working on the stability of thermocapillary flows." (John Billingham, Journal of Fluid Mechanics, Vol. 581, 2007) From the reviews of the second edition: "This book provides a fundamental and comprehensive presentation of physical and mathematical principles of interfacial convection in multilayer systems, pointing out the most important practical applications. The book is well written and readable. ... The book will be of interest and useful to a wide range of specialists working in fluid dynamics, heat and mass transfer and applied mathematics, such as university students, graduate students, design engineers, physicists, chemical engineers, and also researchers interested in the mathematical theory of interfacial convection in multilayer systems." (Ioan Pop, Zentralblatt MATH, Vol. 1237, 2012)

• Introduction.- Types of convective instabilities in systems with an interface.- Benard problem in multilayer systems with undeformable interfaces.- Benard problem in multilayer systems with deformable interfaces.- Stability of flows.- Outlook.