Lehrstuhl für
Angewandte Analysis

Publication list of Prof. Dr. Jürgen Saal

(Linked pdf's might slightly differ from its published version.)

Monograph

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with Y. Giga, M.-H. Giga. Nonlinear Partial Differential Equations -- Asymptotic Behaviour of Solutions and Self-Similar Solutions. Birkhäuser Verlag, Basel, 2010.

Book Chapter

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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

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with H. Löwen, F. Zanger. Analysis of a living fluid continuum model. In Mathematics for Nonlinear Phenomena: Analysis and Computation. Springer, to appear. pdf.
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with A. Fischer. Global weak solutions in three space dimensions for electrokinetic flow processes. J. Evol. Equ. 17(1):309-333, 2017. pdf.
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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.
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with Y. Giga. Uniform exponential stability of the Ekman spiral. Ark. Mat., 53(1):105-126, 2015. pdf.
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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.
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with D. Bothe, A. Fischer. Global well-posedness and stability of electrokinetic flows. SIAM J. Math. Anal., 46(2):1263-1316, 2014. pdf.
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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.
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with Y. Giga. An approach to rotating boundary layers based on vector Radon measures. J. Math. Fluid Mech., 15(1):89-127, 2013. pdf.
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with A. Fischer. On instability of the Ekman spiral. Discrete Contin. Dyn. Syst. - Series S, 6(5):1225-1236, 2013. pdf.
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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.
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with T. Nau. H^\infty-calculus for cylindrical boundary value problems. Adv. Differ. Equ., 17(7-8):767-800, 2012. pdf.
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with R. Racke. Hyperbolic Navier-Stokes equations II: global well-posedness. Evol. Equ. and Control Theory, 1:217-234, 2012. pdf.
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with R. Racke. Hyperbolic Navier-Stokes equations I: local well-posedness. Evol. Equ. and Control Theory, 1:195-215, 2012. pdf.
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with Y. Giga. L^1 maximal regularity for the Laplacian and applications. Discrete Contin. Dyn. Syst. - Supplement, 495-504, 2011. pdf.
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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.
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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.
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with M. Hess, M. Hieber, A. Mahalov. Nonlinear Stability of Ekman boundary layers. Bull. London Math. Soc., 42(4): 691-706, 2010. pdf.
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Wellposedness of the Tornado-Hurricane equations. Discrete Contin. Dyn. Syst. - Series A, 26(2): 649-664, 2010. pdf.
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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.
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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.
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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.
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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.
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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.
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Existence and regularity of weak solutions for the Navier-Stokes equations with partial slip boundary conditions. RIMS Kokyuroku Bessatsu B1, 331-342, 2007. pdf.
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with J. Prüß, G. Simonett. Existence of analytic solutions for the classical Stefan problem. Math. Ann., 338:703-755, 2007. pdf.
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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.
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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.
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Maximal regularity for the Stokes equations in non-cylindrical space-time domains. J. Math. Soc. Japan, 58(3):617--641, 2006. pdf.
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Stokes and Navier-Stokes equations with Robin boundary conditions in a half-space. J. Math. Fluid Mech., 8:211--241, 2006. pdf.
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with A. Noll. H^\infty-calculus for the Stokes operator on L_q-spaces. Math.Z., 244:651--688, 2003. pdf.

Artikel in Proceedings

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with S. Maier. Fluid flow in wedge type domains. PAMM, 14(1):979-980, 2014. pdf.
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with G. Daschiel, T. Baier, B. Frohnapfel. On the flow resistance of wide surface structures. PAMM, 12(1):569-570, 2012. pdf.
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with Y. Giga. On the stability of the Ekman boundary layer. PAMM Proc. Appl. Math. Mech., 7:1041101-1041102, 2007. pdf.
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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.
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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

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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.
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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.