Publication list of Prof. Dr. Jürgen Saal
(Linked pdf's might slightly differ
from its published version.)
Monograph
-
with Y. Giga, M.-H. Giga. Nonlinear Partial Differential Equations
-- Asymptotic Behaviour of Solutions and Self-Similar Solutions.
Birkhäuser Verlag, Basel, 2010.
Book Chapter
-
with M. Hieber. The Stokes Equation in the L^p-setting:
Well Posedness and Regularity Properties.
In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids.
Springer International Publishing, pp 1-88, 2017.
Articles in Journals
-
with H. Löwen, F. Zanger.
Analysis of a living fluid continuum model.
In Mathematics for Nonlinear Phenomena: Analysis and Computation.
Springer, to appear.
pdf.
-
with A. Fischer.
Global weak solutions in three space dimensions for electrokinetic flow processes.
J. Evol. Equ. 17(1):309-333, 2017.
pdf.
-
with D. Bothe, M. Köhne, S. Maier.
Global strong solutions for a class of heterogeneous catalysis models.
J. Math. Anal. Appl. 445(1):677-709, 2017.
pdf.
-
with Y. Giga.
Uniform exponential stability of the Ekman spiral.
Ark. Mat., 53(1):105-126, 2015.
pdf.
-
Mit S. Maier. Stokes and Navier-Stokes equations with perfect slip
on wedge type domains. Discrete Contin. Dyn. Syst. - Series S,
7(5):1045-1063, 2014.
pdf.
-
with D. Bothe, A. Fischer.
Global well-posedness and stability of electrokinetic flows.
SIAM J. Math. Anal., 46(2):1263-1316, 2014.
pdf.
-
with J. Prüß, G. Simonett.
Singular limits for the two-phase Stefan problem.
Discrete Contin. Dyn. Syst. - Series A,
33(11-12):5379-5405, 2013.
pdf.
-
with Y. Giga.
An approach to rotating boundary layers based on vector Radon measures.
J. Math. Fluid Mech., 15(1):89-127, 2013.
pdf.
-
with A. Fischer.
On instability of the Ekman spiral.
Discrete Contin. Dyn. Syst. - Series S,
6(5):1225-1236, 2013.
pdf.
-
with M. Kaip.
The permanence of R-boundedness under interpolation
and applications to parabolic systems.
J. Math. Sci. Univ. Tokyo, 19:1-49, 2012.
pdf.
-
with T. Nau.
H^\infty-calculus for cylindrical boundary value problems.
Adv. Differ. Equ., 17(7-8):767-800, 2012.
pdf.
-
with R. Racke.
Hyperbolic Navier-Stokes equations II: global well-posedness.
Evol. Equ. and Control Theory, 1:217-234, 2012.
pdf.
-
with R. Racke.
Hyperbolic Navier-Stokes equations I: local well-posedness.
Evol. Equ. and Control Theory, 1:195-215, 2012.
pdf.
-
with Y. Giga.
L^1 maximal regularity for the Laplacian and applications.
Discrete Contin. Dyn. Syst. - Supplement,
495-504, 2011.
pdf.
-
with T. Nau.
R-sectoriality of cylindrical boundary value problems.
In Progress in Nonlinear Differential Equations and
Their Applications, Vol. 80. Parabolic Problems.
The Herbert Amann Festschrift,
Birkhäuser Verlag, Basel, 2011, 479-506.
pdf.
-
with R. Denk, M. Geißert, M. Hieber, O. Sawada.
The spin-coating process: analysis of the free boundary problem.
Commun. Partial Differ. Equations, 36:1145-1192, 2011.
pdf.
-
with M. Hess, M. Hieber, A. Mahalov.
Nonlinear Stability of Ekman boundary layers.
Bull. London Math. Soc., 42(4): 691-706, 2010.
pdf.
-
Wellposedness of the Tornado-Hurricane equations.
Discrete Contin. Dyn. Syst. - Series A,
26(2): 649-664, 2010.
pdf.
-
with R. Denk, J. Seiler.
Bounded H_\infty-calculus for pseudodifferential
Douglis-Nirenberg systems of mild regularity.
Math. Nachr. 282(3):386-407, 2009.
pdf.
-
with Y. Giga, K. Inui, A. Mahalov.
Uniform global solvability of the Navier-Stokes equations
for nondecaying initial data.
Indiana Univ. Math. J. 57(6):2775-2792, 2008.
pdf.
-
with R. Denk, J. Seiler.
Inhomogeneous symbols, the Newton polygon, and maximal L^p-regularity.
Russian J. Math. Phys. 15(2):171-192, 2008.
pdf.
-
with Y. Giga, K. Inui, S. Matsui, A. Mahalov.
Rotating Navier-Stokes equations in a half-space with
initial data nondecreasing at infinity:
The Ekman boundary layer problem.
Arch. Ration. Mech. Anal. 186:177-224, 2007.
pdf.
-
with Y. Giga, K. Inui, A. Mahalov.
Global solvability of the Navier-Stokes equations
in spaces based on sum-closed frequency sets.
Adv. Differ. Equ., 12(7):721-736, 2007.
pdf.
-
Existence and regularity of weak solutions for the
Navier-Stokes equations with partial slip boundary conditions.
RIMS Kokyuroku Bessatsu B1, 331-342, 2007.
pdf.
-
with J. Prüß, G. Simonett.
Existence of analytic solutions for the classical
Stefan problem.
Math. Ann., 338:703-755, 2007.
pdf.
-
Strong solutions to the Navier-Stokes equations
in bounded and unbounded domains with a moving boundary.
Electron. J. Diff. Eqns., Conf. 15:365-375, 2007.
pdf.
-
The Stokes operator with Robin boundary conditions in
solenoidal subspaces of L^1(R^n_+) and L^\infty (R^n_+).
Commun. Partial Differ. Equations, 32(3):343-373, 2007.
pdf.
-
Maximal regularity for the Stokes equations in
non-cylindrical space-time domains.
J. Math. Soc. Japan, 58(3):617--641, 2006.
pdf.
-
Stokes and Navier-Stokes equations with
Robin boundary conditions in a half-space.
J. Math. Fluid Mech., 8:211--241, 2006.
pdf.
-
with A. Noll.
H^\infty-calculus for the Stokes operator on L_q-spaces.
Math.Z., 244:651--688, 2003.
pdf.
Artikel in Proceedings
-
with S. Maier.
Fluid flow in wedge type domains.
PAMM, 14(1):979-980, 2014.
pdf.
-
with G. Daschiel, T. Baier, B. Frohnapfel.
On the flow resistance of wide surface structures.
PAMM, 12(1):569-570, 2012.
pdf.
-
with Y. Giga.
On the stability of the Ekman boundary layer.
PAMM Proc. Appl. Math. Mech., 7:1041101-1041102,
2007.
pdf.
-
with J. Prüß, G. Simonett.
Analytic solutions for the classical two-phase
Stefan problem.
Proceedings of Equadiff-11, International
Conference on Differential Equations 2005, pages 415--425, 2007.
pdf.
-
The Stokes operator with Robin boundary conditions
in L^\infty_\sigma(R^n_+).
In F. Durmortier, H. Broer, J. Mahwin,
A. Vanderbauwehde, and S.V. Lunel, editors,
Equadiff 2003, Proceedings of the International
Conference on Differential Equations, pages 392--397, 2005.
pdf.
Lecture Notes
-
R-Boundedness, H^\infty-calculus,
Maximal (L^p-) Regularity and Applications to Parabolic PDE's.
In Lecture Notes in Mathematical Sciences,
The University of Tokyo, Graduate School of Mathematical Sciences,
2007.
-
H^\infty-calculus for the Stokes operator on L_q-spaces.
In H. Kubo and T. Ozawa, editors,
''Evolution Equations'',
volume 79 of Hokkaido University Technical Report Series in
Mathematics, 2003.