Navier—Stokes Equations and Related Nonlinear Problems

Table of Contents

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   Book Overview
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   Chapter 1 On the Stability of a Flow Between Two Vertical Planes Caused by Homogeneous Heat Source and Pressure Gradient
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   Chapter 2 Stability of Solutions of Parabolic Equations by a Combination of the Semigroup Theory and the Energy Method
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   Chapter 3 Steady Flow of a Viscous Incompressible Fluid in an Unbounded “Funnel-Shaped” Domain
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   Chapter 4 Weighted L q -Theory and Pointwise Estimates for Steady Stokes and Navier-Stokes Equations in Domains with Exit to Infinity
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   Chapter 5 Generalized Solutions for the Stokes Equation in Exterior Domains
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   Chapter 6 On the Existence of Periodic Weak Solutions on the Navier-Stokes Equations in Exterior Regions with Periodically Moving Boundaries
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   Chapter 7 (2 + k )-Solutions in L q to the Dirichlet and Neumann Problem for Δ and for Stokes’ System in Exterior Domains
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   Chapter 8 The Weak Neumann Problem and the Helmholtz Decomposition of Two-Dimensional Vector Fields in Weighted L ϒ -Spaces
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    Chapter 9 Boundary Integral Equations for the Stokes Problem in Exterior Domains of ℝ n
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    Chapter 10 Regular Solutions to the Steady Navier-Stokes Equations
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    Chapter 11 A Note on Derivative Estimates for a Hopf Solution to the Navier-Stokes System in a Three-Dimensional Cube
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    Chapter 12 Classical Solution to the Navier-Stokes System
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    Chapter 13 The Maximum Principle for the Equation of Continuity of Compressible Media
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    Chapter 14 Uniqueness of Weak Solutions of Unsteady Motions of Viscous Compressible Fluids (II)
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    Chapter 15 On the Existence of Steady Motions of a Viscous Isothermal Fluid in a Pipe
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    Chapter 16 Classical Solvability of the Problem Describing the Evolution of a Drop in a Liquid Medium
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    Chapter 17 Analysis of a Nonisothermal Viscous Flow Problem with Free Boundaries and a Dynamic Contact Line
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    Chapter 18 On the Free Boundary Problem for the Navier-Stokes Equations Governing the Motion of a Viscous Incompressible Fluid in a Slowly Rotating Container
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    Chapter 19 Heat-Conducting Incompressible Viscous Fluids
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    Chapter 20 On a Class of Abstract Evolution Equations Related to the Motion of Complexity 2 Fluids
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    Chapter 21 Asymptotic in Time Decay of Solutions to the Equations of a Second-Grade Fluid Filling the Whole Space
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    Chapter 22 On Boundary Conditions for Fluids of the Differential Type
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    Chapter 23 Thermoconvection with Dissipation of Quasi-Newtonian Fluids in Tubes
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    Chapter 24 Remarks on the Flow of Holes and Electrons in Crystalline Semiconductors
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    Chapter 25 Bifurcation of Solutions to Reaction-Diffusion Systems with Unilateral Conditions
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    Chapter 26 Stability Theory for Flows Governed by Implicit Evolution Equations
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    Chapter 27 A Vorticity Creation Algorithm for the Navier-Stokes Equations in Arbitrary Domain
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    Chapter 28 Negative Isotropic Eddy Viscosity: A Common Phenomenon in two Dimensions
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    Chapter 29 A Particle in Cell Method for the Isentropic Gas Dynamic System
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    Chapter 30 Domain Decomposition Methods for Fluid Dynamics
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    Chapter 31 A Regularizing Property of Rothe’s Method to the Navier-Stokes Equations
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    Chapter 32 Simulation of Multiple Free Surface Transient Newtonian and Non-Newtonian Flows