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2021 (5)

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Book
Equations of motion for incompressible viscous fluids : with mixed boundary conditions
Authors: ---
ISBN: 3030786595 3030786587 Year: 2021 Publisher: Cham, Switzerland : Springer,


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Equations of Motion for Incompressible Viscous Fluids : With Mixed Boundary Conditions
Authors: ---
ISBN: 9783030786595 9783030786601 9783030786618 9783030786588 Year: 2021 Publisher: Cham Springer International Publishing, Imprint: Birkhäuser

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Abstract

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.


Book
Equations of Motion for Incompressible Viscous Fluids
Authors: --- ---
ISBN: 9783030786595 9783030786601 9783030786618 9783030786588 Year: 2021 Publisher: Cham Springer International Publishing :Imprint: Birkhäuser


Book
Singularly perturbed methods for nonlinear elliptic problems
Authors: --- ---
ISBN: 1108858473 1108872638 Year: 2021 Publisher: Cambridge : Cambridge University Press,

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This introduction to the singularly perturbed methods in the nonlinear elliptic partial differential equations emphasises the existence and local uniqueness of solutions exhibiting concentration property. The authors avoid using sophisticated estimates and explain the main techniques by thoroughly investigating two relatively simple but typical non-compact elliptic problems. Each chapter then progresses to other related problems to help the reader learn more about the general theories developed from singularly perturbed methods. Designed for PhD students and junior mathematicians intending to do their research in the area of elliptic differential equations, the text covers three main topics. The first is the compactness of the minimization sequences, or the Palais-Smale sequences, or a sequence of approximate solutions; the second is the construction of peak or bubbling solutions by using the Lyapunov-Schmidt reduction method; and the third is the local uniqueness of these solutions.


Book
Singularly perturbed methods for nonlinear elliptic problems
Authors: --- ---
ISBN: 9781108872638 9781108836838 Year: 2021 Publisher: Cambridge Cambridge University Press

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