Hydrodynamic Instability Analysis provides a working knowledge of the stability of flows satisfying Navier-Stokes equations, the flow domain, boundary conditions and external forces are fixed. Solutions to equations vary with the viscosity and the initial conditions. The book is dedicated to important hydrodynamic instabilities types: Rayleigh-Taylor and Kelvin-Helmholtz. Different types of liquid jets instabilities are also considered. In the introductory chapter, fundamental concepts and properties of fluids are discussed as well as fundamental equations of mass, momentum and...
Hydrodynamic Instability Analysis provides a working knowledge of the stability of flows satisfying Navier-Stokes equations, the flow domain, bounda...
Extrinsic geometry describes properties of foliations on Riemannian manifolds which can be expressed in terms of the second fundamental form of the leaves. The authors of Topics in Extrinsic Geometry of Codimension-OneFoliations achieve a technical tour de force, which will lead to important geometric results.
The Integral Formulae, introduced in chapter 1, is a useful for problems such as: prescribing higher mean curvatures of foliations, minimizing volume and energy defined for vector or plane fields on manifolds, and existence of foliations whose leaves...
Extrinsic geometry describes properties of foliations on Riemannian manifolds which can be expressed in terms of the second fundamental form of the...
This concise text on geometry with computer modeling presents some elementary methods for analytical modeling and visualization of curves and surfaces. The author systematically examines such powerful tools as 2-D and 3-D animation of geometric images, transformations, shadows, and colors, and then further studies more complex problems in differential geometry. Well-illustrated with more than 350 figures---reproducible using Maple programs in the book---the work is devoted to three main areas: curves, surfaces, and polyhedra. Pedagogical benefits can be found in the large number of Maple...
This concise text on geometry with computer modeling presents some elementary methods for analytical modeling and visualization of curves and surfaces...
This monograph is based on the author's results on the Riemannian ge ometry of foliations with nonnegative mixed curvature and on the geometry of sub manifolds with generators (rulings) in a Riemannian space of nonnegative curvature. The main idea is that such foliated (sub) manifolds can be decom posed when the dimension of the leaves (generators) is large. The methods of investigation are mostly synthetic. The work is divided into two parts, consisting of seven chapters and three appendices. Appendix A was written jointly with V. Toponogov. Part 1 is devoted to the Riemannian geometry of...
This monograph is based on the author's results on the Riemannian ge ometry of foliations with nonnegative mixed curvature and on the geometry of sub ...
This volume has been divided into two parts: Geometry and Applications. The geometry portion of the book relates primarily to geometric flows, laminations, integral formulae, geometry of vector fields on Lie groups and osculation; the articles in the applications portion concern some particular problems of the theory of dynamical systems, including mathematical problems of liquid flows and a study of cycles for non-dynamical systems.
This Work is based on the second international workshop entitled "Geometry and Symbolic Computations," held on May 15-18, 2013 at the University of...
This volume has been divided into two parts: Geometry and Applications. The geometry portion of the book relates primarily to geometric flows, lami...
This volume has been divided into two parts: Geometry and Applications. The geometry portion of the book relates primarily to geometric flows, laminations, integral formulae, geometry of vector fields on Lie groups and osculation; the articles in the applications portion concern some particular problems of the theory of dynamical systems, including mathematical problems of liquid flows and a study of cycles for non-dynamical systems.
This Work is based on the second international workshop entitled "Geometry and Symbolic Computations," held on May 15-18, 2013 at the University of...
This volume has been divided into two parts: Geometry and Applications. The geometry portion of the book relates primarily to geometric flows, lami...
