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Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

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Cover of 'Handbook of Mathematical Analysis in Mechanics of Viscous Fluids'

Table of Contents

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    Book Overview
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    Chapter 1 Derivation of Equations for Continuum Mechanics and Thermodynamics of Fluids
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    Chapter 2 Variational Modeling and Complex Fluids
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    Chapter 3 The Stokes Equation in the L p -Setting: Well-Posedness and Regularity Properties
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    Chapter 4 Stokes Problems in Irregular Domains with Various Boundary Conditions
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    Chapter 5 Leray’s Problem on Existence of Steady-State Solutions for the Navier-Stokes Flow
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    Chapter 6 Stationary Navier-Stokes Flow in Exterior Domains and Landau Solutions
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    Chapter 7 Steady-State Navier-Stokes Flow Around a Moving Body
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    Chapter 8 Stokes Semigroups, Strong, Weak, and Very Weak Solutions for General Domains
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    Chapter 9 Self-Similar Solutions to the Nonstationary Navier-Stokes Equations
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    Chapter 10 Time-Periodic Solutions to the Navier-Stokes Equations
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    Chapter 11 Large Time Behavior of the Navier-Stokes Flow
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    Chapter 12 Critical Function Spaces for the Well-Posedness of the Navier-Stokes Initial Value Problem
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    Chapter 13 Existence and Stability of Viscous Vortices
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    Chapter 14 Models and Special Solutions of the Navier-Stokes Equations
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    Chapter 15 The Inviscid Limit and Boundary Layers for Navier-Stokes Flows
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    Chapter 16 Regularity Criteria for Navier-Stokes Solutions
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    Chapter 17 Stable Self-Similar Profiles for Two 1D Models of the 3D Axisymmetric Euler Equations
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    Chapter 18 Vorticity Direction and Regularity of Solutions to the Navier-Stokes Equations
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    Chapter 22 Recent Advances Concerning Certain Class of Geophysical Flows
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    Chapter 23 Equations for Polymeric Materials
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    Chapter 24 Modeling of Two-Phase Flows With and Without Phase Transitions
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    Chapter 25 Equations for Viscoelastic Fluids
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    Chapter 26 Modeling and Analysis of the Ericksen-Leslie Equations for Nematic Liquid Crystal Flows
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    Chapter 27 Classical Well-Posedness of Free Boundary Problems in Viscous Incompressible Fluid Mechanics
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    Chapter 28 Stability of Equilibrium Shapes in Some Free Boundary Problems Involving Fluids
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    Chapter 29 Weak Solutions and Diffuse Interface Models for IncompressibleTwo-Phase Flows
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    Chapter 30 Water Waves with or Without Surface Tension
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    Chapter 31 Concepts of Solutions in the Thermodynamics of Compressible Fluids
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    Chapter 33 Well-Posedness of the IBVPs for the 1D Viscous Gas Equations
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    Chapter 34 Well-Posedness and Asymptotic Behavior for Compressible Flows in One Dimension
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    Chapter 35 Symmetric Solutions to the Viscous Gas Equations
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    Chapter 44 Weak Solutions for the Compressible Navier-Stokes Equations with Density Dependent Viscosities
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    Chapter 45 Weak Solutions for the Compressible Navier-Stokes Equations in the Intermediate Regularity Class
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    Chapter 47 Local and Global Solutions for the Compressible Navier-Stokes Equations Near Equilibria via the Energy Method
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    Chapter 49 Fourier Analysis Methods for the Compressible Navier-Stokes Equations
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    Chapter 50 Local and Global Existence of Strong Solutions for the Compressible Navier-Stokes Equations Near Equilibria via the Maximal Regularity
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    Chapter 51 Local and Global Solvability of Free Boundary Problems for the Compressible Navier-Stokes Equations Near Equilibria
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    Chapter 52 Global Existence of Classical Solutions and Optimal Decay Rate for Compressible Flows via the Theory of Semigroups
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    Chapter 54 Blow-Up Criteria of Strong Solutions and Conditional Regularity of Weak Solutions for the Compressible Navier-Stokes Equations
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    Chapter 57 Finite Time Blow-Up of Regular Solutions for Compressible Flows
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    Chapter 58 Global Existence of Regular Solutions with Large Oscillations and Vacuum for Compressible Flows
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    Chapter 60 Waves in Compressible Fluids: Viscous Shock, Rarefaction, and Contact Waves
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    Chapter 63 Existence of Stationary Weak Solutions for Isentropic and Isothermal Compressible Flows
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    Chapter 64 Existence of Stationary Weak Solutions for Compressible Heat Conducting Flows
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    Chapter 65 Existence and Uniqueness of Strong Stationary Solutions for Compressible Flows
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    Chapter 67 Scale Analysis of Compressible Flows from an Application Perspective
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    Chapter 69 Low Mach Number Limits and Acoustic Waves
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    Chapter 70 Singular Limits for Models of Compressible, Viscous, Heat Conducting, and/or Rotating Fluids
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    Chapter 72 Weak and Strong Solutions of Equations of Compressible Magnetohydrodynamics
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    Chapter 73 Solutions for Models of Chemically Reacting Compressible Mixtures
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    Chapter 74 Multi-Fluid Models Including Compressible Fluids
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    Chapter 75 Weak Solutions to 2D and 3D Compressible Navier-Stokes Equations in Critical Cases
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    Chapter 76 Weak Solutions for the Compressible Navier-Stokes Equations: Existence, Stability, and Longtime Behavior
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Title
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
Published by
Springer International Publishing, April 2018
DOI 10.1007/978-3-319-13344-7
ISBNs
978-3-31-913343-0, 978-3-31-913344-7
Editors

Giga, Yoshikazu, Novotný, Antonín

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X Demographics

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 26 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 26 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 10 38%
Researcher 3 12%
Professor 1 4%
Student > Master 1 4%
Professor > Associate Professor 1 4%
Other 0 0%
Unknown 10 38%
Readers by discipline Count As %
Engineering 7 27%
Mathematics 6 23%
Physics and Astronomy 2 8%
Chemical Engineering 1 4%
Unknown 10 38%