Analysis of Viscous Fluid Flows: An Approach by Evolution Equations (Q3296719)

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English	Analysis of Viscous Fluid Flows: An Approach by Evolution Equations	scientific article

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scholarly article

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Analysis of Viscous Fluid Flows: An Approach by Evolution Equations (English)

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Matthias Hieber

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Lecture Notes in Mathematics

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publication date

1 July 2020

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zbMATH Keywords

viscous fluid flows

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liquid crystal flow

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primitive equations

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free boundary value problem

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-36226-3_1

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Analyticity of the Stokes semigroup in spaces of bounded functions

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Stokes Resolvent Estimates in Spaces of Bounded Functions

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Bounded imaginary powers and \(H_\infty\)-calculus of the Stokes operator in two-dimensional exterior domains

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On generalized solutions of two-phase flows for viscous incompressible fluids

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Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows

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Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations

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Stability of the rest state of a viscous incompressible fluid

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Stability and bifurcation in viscous incompressible fluids

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On the strong solvability of the Navier-Stokes equations

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Linear and Quasilinear Parabolic Problems

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Vector-valued Laplace Transforms and Cauchy Problems

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Fourier Analysis and Nonlinear Partial Differential Equations

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Large-time regularity of viscous surface waves

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CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS

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$L_p$-Theory for a Class of Non-Newtonian Fluids

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A regularity result for a solid-fluid system associated to the compressible Navier-Stokes equations

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Some remarks on Banach spaces in which martingale difference sequences are unconditional

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Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics

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A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space

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Critical functional framework and maximal regularity in action on systems of incompressible flows

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Sommes d'opérateurs linéaires et équations différentielles opérationnelles

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Non-isothermal general Ericksen-Leslie system: derivation, analysis and thermodynamic consistency

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Problem of the motion of two viscous incompressible fluids separated by a closed free interface

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ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type

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New thoughts on old results of R. T. Seeley

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Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data

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The Spin-Coating Process: Analysis of the Free Boundary Value Problem

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\(L^p\)-theory of the Stokes equation in a half space

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On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models

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Stability of mixed Ekman-Hartmann boundary layers

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Strong solutions for generalized Newtonian fluids

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On the closedness of the sum of two closed operators

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Bounded holomorphic functional calculus for non-divergence form differential operators

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One-Parameter Semigroups for Linear Evolution Equations

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Hydrostatic theory of liquid crystals

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Generalized resolvent estimates for the Stokes system in bounded and unbounded domains

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On the motion of rigid bodies in a viscous compressible fluid

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On a non-isothermal model for nematic liquid crystals

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A new approach to non-isothermal models for nematic liquid crystals

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Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier–Stokes equations*

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An Introduction to the Mathematical Theory of the Navier-Stokes Equations

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Maximal \(L^p\)-\(L^ q\)-estimates for the Stokes equation: a short proof of Solonnikov's theorem

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Weak Neumann implies Stokes

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$L^{p}$-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids

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Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces

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Domains of fractional powers of the Stokes operator in \(L_ r\) spaces

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Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains

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Analyticity of solutions to the primitive equations

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Rotating Navier-Stokes equations in \({\mathbb R}^{3}_{+}\) with initial data nondecreasing at infinity: The Ekman boundary layer problem

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Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data

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Bounded 𝐻^{∞}-calculus for the hydrostatic Stokes operator on 𝐿^{𝑝}-spaces and applications

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Classical Fourier Analysis

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Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods.

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The functional calculus for sectorial operators

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Nonlinear stability of Ekman boundary layers

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Global strong well-posedness of the three dimensional primitive equations in \({L^p}\)-spaces

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The \(L^p\)-approach to the fluid-rigid body interaction problem for compressible fluids

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Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle

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Dynamics of the Ericksen-Leslie equations with general Leslie stress. I: The incompressible isotropic case

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Dynamics of the Ericksen-Leslie equations with general Leslie stress. II: The compressible isotropic case

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Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids

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The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework

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Stochastic stability of the Ekman spiral

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Global strong \(L^{p}\) well-posedness of the 3D primitive equations with heat and salinity diffusion

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Dynamics of nematic liquid crystal flows: the quasilinear approach

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Blow-up Criteria of Strong Solutions to the Ericksen-Leslie System in ℝ<sup>3</sup>

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Analysis in Banach Spaces

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Analysis in Banach Spaces

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A solution to the problem of \(L^p\)-maximal regularity

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The \(H^\infty\)-calculus and sums of closed operators

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On quasilinear parabolic evolution equations in weighted \(L_{p}\)-spaces

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New criteria for the \(H^\infty\)-calculus and the Stokes operator on bounded Lipschitz domains

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Some constitutive equations for liquid crystals

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The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation

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Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena

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Nonparabolic dissipative systems modeling the flow of liquid crystals

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Recent developments of analysis for hydrodynamic flow of nematic liquid crystals

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New formulations of the primitive equations of atmosphere and applications

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On the equations of the large-scale ocean

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On the general Ericksen-Leslie system: Parodi's relation, well-posedness and stability

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Analytic semigroups and optimal regularity in parabolic problems

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Global strong solutions to incompressible Ericksen-Leslie system in \(\mathbb{R}^3\)

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On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: The case \(p\geq 2\)

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Elliptic boundary value problems in unbounded domains with noncompact and nonsmooth boundaries

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The Resolvent Problem for the Stokes Equations on Halfspace in $L_p $

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On energy inequality, smoothness and large time behavior in L 2 for weak solutions of the Navier-Stokes equations in exterior domains

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\(H^\infty\)-calculus for the Stokes operator on \(L_q\)-spaces

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Asymptotic stability of steady compressible fluids.

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Semigroups of linear operators and applications to partial differential equations

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Maximal regularity for evolution equations in weighted \(L_p\)-spaces

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On the two-phase Navier-Stokes equations with surface tension

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Analytic Solutions for the Two-phase Navier-Stokes Equations with Surface Tension and Gravity

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Moving Interfaces and Quasilinear Parabolic Evolution Equations

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Addendum to the paper ``On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces II''

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On convergence of solutions to equilibria for quasilinear parabolic problems

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A fluid-structure model coupling the Navier-Stokes equations and the Lamé system

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The Three-Dimensional Navier–Stokes Equations

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Stability of large Ekman boundary layers in rotating fluids

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On a free boundary problem for the Navier-Stokes equations.

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Report on a local in time solvability of free surface problems for the Navier–Stokes equations with surface tension

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Maximal \(L_{p}\)-\(L_{q}\) regularity for the two-phase Stokes equations; model problems

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On the stability of nonsymmetric equilibrium figures of a rotating viscous incompressible liquid

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Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)

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Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain

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Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid

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Large-time existence of surface waves in incompressible viscous fluids with or without surface tension

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Theory of function spaces

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Lectures on Navier-Stokes Equations

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A solution formula for the Stokes equation in Rn+

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Well-posedness of the Ericksen-Leslie system

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Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity

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On vector-valued Fourier multiplier theorems

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-36226-3_1

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3296719

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