Hydromechanics

This book systematically introduces the theory of nonlinear analysis, providing an overview of topics such as geometry of Banach spaces, differential calculus in Banach spaces, monotone operators, and fixed point theorems. It also discusses degree theory, nonlinear matrix equations, control theory, differential and integral equations, and inclusions. The book presents surjectivity theorems, variational inequalities, stochastic game theory and mathematical biology, along with a large number of applications of these theories in various other disciplines.

This book systematically introduces the theory of nonlinear analysis, providing an overview of topics such as geometry of Banach spaces, differential calculus in Banach spaces, monotone operators, and fixed point theorems. It also discusses degree theory, nonlinear matrix equations, control theory, differential and integral equations, and inclusions. The book presents surjectivity theorems, variational inequalities, stochastic game theory and mathematical biology, along with a large number of applications of these theories in various other disciplines.

This book systematically introduces the theory of nonlinear analysis, providing an overview of topics such as geometry of Banach spaces, differential calculus in Banach spaces, monotone operators, and fixed point theorems. It also discusses degree theory, nonlinear matrix equations, control theory, differential and integral equations, and inclusions. The book presents surjectivity theorems, variational inequalities, stochastic game theory and mathematical biology, along with a large number of applications of these theories in various other disciplines.

This text/reference is the only one of its kind to offer the basics on surface wave mechanics and coastal processes along with the fundamentals of coastal engineering analysis and design. It also provides the necessary background from which the reader can pursue a more advanced study of the various theoretical and applied aspects of coastal hydromechanics and coastal engineering design. This classic text/reference offers senior and beginning post-graduate students in civil and mechanical engineering or the physical and environmental sciences a well-rounded introduction to coastal engineering. Engineers and physical environmental scientists who have not had the opportunity for formal study in coastal engineering, but would like to become familiar with the subject, will also benefit from this timely resource. This classic text/reference offers senior and beginning post-graduate students in civil and mechanical engineering or the physical and environmental sciences a well-rounded introduction to coastal engineering.

Prandtl’s pioneering experiments laid the basis for the use of theoretical hydromechanics and hydrodynamics in practical engineering problems. This volume presents Tietjens’ famous expansion of Prandtl’s lectures: statics and kinematics of liquids and gases, dynamics of non-viscous liquids. Proofs use vector analysis.

This collection is dedicated to the 70th jubilee of Yu. N. Savchenko, and presents experimental, theoretical, and numerical investigations written by an international group of well-known authors.

In this volume, the authors close the gap between abstract mathematical approaches, such as abstract algebra, number theory, nonlinear functional analysis, partial differential equations, methods of nonlinear and multi-valued analysis, on the one hand, and practical applications in nonlinear mechanics, decision making theory and control theory on the other.

This collection is dedicated to the 70th jubilee of Yu. N. Savchenko, and presents experimental, theoretical, and numerical investigations written by an international group of well-known authors.