ヒーバー マティアス ゲオルグ

教授(任期付)

  • 1901 引用
  • 18 h指数
1989 …2019
Pureに変更を加えた場合、すぐここに表示されます。

研究成果 1989 2019

  • 1901 引用
  • 18 h指数
  • 70 Article
  • 5 Chapter
  • 3 Conference contribution
  • 2 Editorial
2019
Exterior Domain
Vector Field
Harmonic
Unit normal vector
Simple Closed Curve
Nematic liquid crystals
Topology
Nematic Liquid Crystal
Equilibrium Point
Global Solution

Optimal decay rates for solutions to the incompressible Oldroyd-B model in R 3

Hieber, M. G., Wen, H. & Zi, R., 2019 1 29, : : Nonlinearity. 32, 3, p. 833-852 20 p.

研究成果: Article

Decay Estimates
Decay Rate
decay rates
Weak Solution
Large Data
2018
1 引用 (Scopus)

Modeling and analysis of the ericksen-leslie equations for nematic liquid crystal flows

Hieber, M. G. & Prüss, J. W., 2018 4 19, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing, p. 1075-1134 60 p.

研究成果: Chapter

Nematic liquid crystals
Nematic Liquid Crystal
liquid crystals
compressible fluids
incompressible fluids
3 引用 (Scopus)

On the bidomain problem with FitzHugh–Nagumo transport

Hieber, M. G. & Prüss, J., 2018 6 14, (Accepted/In press) : : Archiv der Mathematik. p. 1-15 15 p.

研究成果: Article

Evolution Equation
Semilinear Evolution Equation
Local Well-posedness
Energy Estimates
Operator
2 引用 (Scopus)

The stokes equation in the Lp-setting: Well-posedness and regularity properties

Hieber, M. G. & Saal, J., 2018 4 19, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing, p. 117-206 90 p.

研究成果: Chapter

Regularity Properties
Stokes Equations
regularity
Well-posedness
Stokes
1 引用 (Scopus)
Stratified Fluid
Rotating Fluid
Time-periodic Solutions
Buoyancy
Fluids
2017
1 引用 (Scopus)

Bounded H-calculus for the hydrostatic stokes operator on Lp-spaces and applications

Giga, Y., Gries, M., Hieber, M. G., Hussein, A. & Kashiwabara, T., 2017, : : Proceedings of the American Mathematical Society. 145, 9, p. 3865-3876 12 p.

研究成果: Article

Stokes Operator
Primitive Equations
Hydrostatics
Mixed Boundary Conditions
Lp Spaces
2 引用 (Scopus)

On periodic and almost periodic solutions to incompressible viscous fluid flow problems on the whole line

Hieber, M. G., Nguyen, T. H. & Seyfert, A., 2017 1 1, Mathematics for Nonlinear Phenomena—Analysis and Computation - In Honor of Yoshikazu Giga’s 60th Birthday. Springer New York LLC, 巻 215. p. 51-81 31 p.

研究成果: Conference contribution

Almost Periodic Solution
Almost Periodic
Viscous Flow
Viscous Fluid
Incompressible Fluid

Preface

Bothe, D., Denk, R., Hieber, M. G., Schnaubelt, R., Simonett, G., Wilke, M. & Zacher, R., 2017 3 1, : : Journal of Evolution Equations. 17, 1

研究成果: Editorial

2 引用 (Scopus)

Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces

Galdi, G. P., Hieber, M. G. & Kashiwabara, T., 2017 9 18, : : Nonlinearity. 30, 10, p. 3979-3992 14 p.

研究成果: Article

primitive equations
Primitive Equations
Time-periodic Solutions
periodic functions
time functions
2016
17 引用 (Scopus)

A General Approach to Time Periodic Incompressible Viscous Fluid Flow Problems

Geissert, M., Hieber, M. G. & Nguyen, T. H., 2016 6 1, : : Archive for Rational Mechanics and Analysis. 220, 3, p. 1095-1118 24 p.

研究成果: Article

Viscous Flow
Incompressible Flow
Viscous Fluid
Incompressible Fluid
Fluid Flow
8 引用 (Scopus)

Bounded analyticity of the stokes semigroup on spaces of bounded functions

Hieber, M. G. & Maremonti, P., 2016, Recent Developments of Mathematical Fluid Mechanics. Springer Verlag, 巻 none. p. 275-289 15 p.

研究成果: Conference contribution

17 引用 (Scopus)
Nematic liquid crystals
Nematic Liquid Crystal
Strong Solution
Dynamics (theory)
Parabolic Equation
5 引用 (Scopus)
Topology
Local Solution
Stress Tensor
Nematic Liquid Crystal
Strong Solution
5 引用 (Scopus)

Global strong Lp well-posedness of the 3D primitive equations with heat and salinity diffusion

Hieber, M., Hussein, A. & Kashiwabara, T., 2016 12 15, : : Journal of Differential Equations. 261, 12, p. 6950-6981 32 p.

研究成果: Article

Primitive Equations
Salinity
Well-posedness
Interpolation
Heat
12 引用 (Scopus)
Primitive Equations
Lp Spaces
Well-posedness
Hydrostatics
Strong Solution
Non-Newtonian Fluid
Free Boundary Problem
Strong Solution
Stress Tensor
Class
7 引用 (Scopus)

Thermodynamical consistent modeling and analysis of nematic liquid crystal flows

Hieber, M. G. & Prüss, J., 2016, Mathematical Fluid Dynamics, Present and Future. Springer New York LLC, 巻 183. p. 433-459 27 p.

研究成果: Conference contribution

Nematic Liquid Crystal
Strong Solution
Leslie model
Dynamics (theory)
Modeling
2015
1 引用 (Scopus)

Global existence results for the Navier–Stokes equations in the rotational framework in Fourier–Besov spaces

Fang, D., Han, B. & Hieber, M. G., 2015, Operator Theory: Advances and Applications. Springer International Publishing, 巻 250. p. 199-211 13 p. (Operator Theory: Advances and Applications; 巻数 250).

研究成果: Chapter

Global Existence
Existence Results
Navier-Stokes Equations
Mild Solution
Coriolis Force
5 引用 (Scopus)
Coriolis force
Local Existence
Global Existence
Navier Stokes equations
Existence Results
6 引用 (Scopus)
Stokes Equations
Semigroup
Upper bound
Stokes
Denote
15 引用 (Scopus)

Stokes resolvent estimates in spaces of bounded functions

Abe, K., Giga, Y. & Hieber, M. G., 2015 5 1, : : Annales Scientifiques de l'Ecole Normale Superieure. 48, 3, p. 537-559 23 p.

研究成果: Article

Resolvent Estimates
Stokes
Analytic Semigroup
Stokes Operator
Stokes Equations
5 引用 (Scopus)
Compressible Fluid
Strong Solution
Rigid Body
System of equations
Fluid
2014
1 引用 (Scopus)
Exterior Domain
Strong Solution
Global Existence
Velocity Field
Navier Stokes equations
1 引用 (Scopus)

Stability results for fluids of Oldroyd-B type on exterior domains

Geissert, M., Hieber, M. G. & Huy, N. T., 2014 9 24, : : Journal of Mathematical Physics. 55, 9, 091505.

研究成果: Article

Exterior Domain
Fluid
Analytic Semigroup
fluids
2013
22 引用 (Scopus)
Oldroyd-B Fluid
Exterior Domain
Global Existence
Existence Results
Global Solution
15 引用 (Scopus)
Newtonian Fluid
Strong Solution
Rigid Body
Exponent
Fluid
Oldroyd-B Fluid
Exterior Domain
Boundary conditions
Fluids
Global Existence
2 引用 (Scopus)

Stochastic stability of the Ekman spiral

Hieber, M. G. & Stannat, W., 2013, : : Annali della Scuola Normale - Classe di Scienze. 12, 1, p. 189-208 20 p.

研究成果: Article

Stochastic Stability
Navier-Stokes
Martingale
Boundary conditions
Stationary Solutions
Ill-posedness
Open set
Well-posedness
Dirichlet Boundary Conditions
Navier Stokes equations
2012
3 引用 (Scopus)

Density-dependent incompressible viscous fluid flow subject to linearly growing initial data

Fang, D., Hieber, M. G. & Zhang, T., 2012 8, : : Applicable Analysis. 91, 8, p. 1477-1493 17 p.

研究成果: Article

Viscous Flow
Viscous Fluid
Incompressible Fluid
Navier Stokes equations
Fluid Flow
25 引用 (Scopus)
Oldroyd-B Fluid
Exterior Domain
Global Existence
Existence Results
Fluids
20 引用 (Scopus)

Weak Neumann implies Stokes

Geissert, M., Heck, H., Hieber, M. G. & Sawada, O., 2012 8, : : Journal fur die Reine und Angewandte Mathematik. 669, p. 75-100 26 p.

研究成果: Article

Hermann Von Helmholtz
Stokes
Projection
Imply
2011

Preface

Escher, J., Guidotti, P., Hieber, M. G., Mucha, P. B., Prüß, J. W., Shibata, Y., Simonett, G., Walker, C. & Zajaczkowski, W., 2011 1 1, : : Progress in Nonlinear Differential Equations and Their Application. 80, p. ix-xii

研究成果: Editorial

7 引用 (Scopus)

The spin-coating process: Analysis of the free boundary value problem

Denk, R., Geissert, M., Hieber, M. G., Saal, J. & Sawada, O., 2011 7, : : Communications in Partial Differential Equations. 36, 7, p. 1145-1192 48 p.

研究成果: Article

Free Boundary Value Problems
Spin coating
Boundary value problems
Coating
Regularity
2010
5 引用 (Scopus)

L -estimates for parabolic systems with VMO-coefficients

Heck, H., Hieber, M. G. & Stavrakidis, K., 2010 6, : : Discrete and Continuous Dynamical Systems - Series S. 3, 2, p. 299-309 11 p.

研究成果: Article

Parabolic Systems
Coefficient
A Priori Estimates
Estimate
Parabolic Equation
18 引用 (Scopus)

Maximal L p - L q -Estimates for the stokes equation: A short proof of solonnikov's theorem

Geissert, M., Hess, M., Hieber, M. G., Schwarz, C. & Stavrakidis, K., 2010 3, : : Journal of Mathematical Fluid Mechanics. 12, 1, p. 47-60 14 p.

研究成果: Article

Sectorial Operator
Stokes Operator
Exterior Domain
Stokes Equations
Bounded Domain
9 引用 (Scopus)

Nonlinear stability of Ekman boundary layers

Hess, M., Hieber, M. G., Mahalov, A. & Saal, J., 2010 8, : : Bulletin of the London Mathematical Society. 42, 4, p. 691-706 16 p.

研究成果: Article

Nonlinear Stability
Boundary Layer
Stationary Solutions
Decay Rate
Half-space
2 引用 (Scopus)

Remarks on the L p-approach to the stokes equation on unbounded domains

Geissert, M., Heck, H., Hieber, M. G. & Sawada, O., 2010 6, : : Discrete and Continuous Dynamical Systems - Series S. 3, 2, p. 291-297 7 p.

研究成果: Article

Stokes Operator
Analytic Semigroup
Stokes Equations
Hermann Von Helmholtz
Unbounded Domain
40 引用 (Scopus)
Mild Solution
Navier-Stokes Equations
Norm
Arbitrary
Framework
2009
13 引用 (Scopus)
Ornstein-Uhlenbeck Operator
Lp Estimates
Gradient Estimate
Strongly Continuous Semigroups
Pointwise Estimates
8 引用 (Scopus)
Stokes Flow
Strong Solution
Navier-Stokes
Mild Solution
Rotating
2008
3 引用 (Scopus)

Irreducibility and mixed boundary conditions

Haller-Dintelmann, R., Hieber, M. G. & Rehberg, J., 2008 2, : : Positivity. 12, 1, p. 83-91 9 p.

研究成果: Article

Positive Semigroup
Nonsmooth Domains
Mixed Boundary Conditions
Irreducibility
Neumann Boundary Conditions
25 引用 (Scopus)
Quasilinear Parabolic Systems
Nonsmooth Domains
Maximal Regularity
Kernel Estimate
Quasilinear System
2007
1 引用 (Scopus)
Stokes Flow
Navier-Stokes
Rotating
125 引用 (Scopus)
Boundary Value Problem
Triebel-Lizorkin Space
General Boundary Conditions
Ellipticity
Parabolic Problems
2006
25 引用 (Scopus)

Lp - Lq Estimates for parabolic systems in non-divergence form with VMO coefficients

Haller-Dintelmann, R., Heck, H. & Hieber, M. G., 2006 12, : : Journal of the London Mathematical Society. 74, 3, p. 717-736 20 p.

研究成果: Article

Lp Estimates
Parabolic Systems
Muckenhoupt Weights
Coefficient
Unique Solution
61 引用 (Scopus)
Stokes Flow
Navier-Stokes
Rotating
Navier-Stokes Problem
Stokes Equations

The model-problem associated to the Stefan problem with surface tension: An approach via Fourier-Laplace multipliers

Geissert, M., Grec, B., Hieber, M. G. & Radkevich, E., 2006 1 1, Differential Equations: Inverse and Direct Problems. CRC Press, p. 171-182 12 p.

研究成果: Chapter

Stefan Problem
Laplace
Surface Tension
Multiplier
Model