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This monograph explores the motion of incompressible fluids by
presenting and incorporating various boundary conditions possible
for real phenomena. The authors' approach carefully walks readers
through the development of fluid equations at the cutting edge of
research, and the applications of a variety of boundary conditions
to real-world problems. Special attention is paid to the
equivalence between partial differential equations with a mixture
of various boundary conditions and their corresponding variational
problems, especially variational inequalities with one unknown. A
self-contained approach is maintained throughout by first covering
introductory topics, and then moving on to mixtures of boundary
conditions, a thorough outline of the Navier-Stokes equations, an
analysis of both the steady and non-steady Boussinesq system, and
more. Equations of Motion for Incompressible Viscous Fluids is
ideal for postgraduate students and researchers in the fields of
fluid equations, numerical analysis, and mathematical modelling.
This monograph explores the motion of incompressible fluids by
presenting and incorporating various boundary conditions possible
for real phenomena. The authors' approach carefully walks readers
through the development of fluid equations at the cutting edge of
research, and the applications of a variety of boundary conditions
to real-world problems. Special attention is paid to the
equivalence between partial differential equations with a mixture
of various boundary conditions and their corresponding variational
problems, especially variational inequalities with one unknown. A
self-contained approach is maintained throughout by first covering
introductory topics, and then moving on to mixtures of boundary
conditions, a thorough outline of the Navier-Stokes equations, an
analysis of both the steady and non-steady Boussinesq system, and
more. Equations of Motion for Incompressible Viscous Fluids is
ideal for postgraduate students and researchers in the fields of
fluid equations, numerical analysis, and mathematical modelling.
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