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Preface. Special issue dedicated to Jan Prüss on the occasion of his 65th birthday. (English) Zbl 1362.01009


MSC:

01A70 Biographies, obituaries, personalia, bibliographies

Biographic References:

Prüss, Jan
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[1] J. Prüss. Evolutionary integral equations and applications, volume 87 of Monographs in Mathematics. Birkhäuser Verlag, Basel, 1993. Modern Birkhäuser Classics, 2nd ed. 2012. · Zbl 0784.45006
[2] R. Denk, M. Hieber, and J. Prüss. \[ \cal{R}\] R-boundedness, Fourier multipliers and problems of elliptic and parabolic type. Mem. Amer. Math. Soc., 166(788):viii+114, 2003. · Zbl 1274.35002
[3] J. Prüss, R. Schnaubelt, and R. Zacher. Mathematische Modelle in der Biologie. Mathematik Kompakt. (Compact Mathematics). Birkhäuser Verlag, Basel, 2008. Deterministische homogene Systeme. (Deterministic homogeneous systems). · Zbl 1314.92004
[4] J. Prüss and M. Wilke. Gewöhnliche Differentialgleichungen und dynamische Systeme. Grundstudium Mathematik. (Basic Study of Mathematics). Birkhäuser/Springer Basel AG, Basel, 2010.
[5] J. Prüss and G. Simonett. Moving interfaces and quasilinear parabolic evolution equations, volume 105 of Monographs in Mathematics. Birkhäuser/Springer, 2016. · Zbl 1435.35004
[6] J. Prüss. On semilinear evolution equations in Banach spaces. J. Reine Angew. Math., 303/304:144-158, 1978. · Zbl 0398.34057
[7] J. Prüss. Periodic solutions of semilinear evolution equations. Nonlinear Anal., 3(5):601-612, 1979. · Zbl 0419.34061
[8] J. Prüss. A note on strict solutions to semilinear evolution equations. Math. Z., 171(3):285-288, 1980. · Zbl 0414.34020
[9] J. Prüss. On semilinear parabolic evolution equations on closed sets. J. Math. Anal. Appl., 77(2):513-538, 1980. · Zbl 0452.34055
[10] J. Prüss. A characterization of uniform convexity and applications to accretive operators. Hiroshima Math. J., 11(2):229-234, 1981. · Zbl 0464.47035
[11] J. Prüss. Equilibrium solutions of age-specific population dynamics of several species. J. Math. Biol., 11(1):65-84, 1981. · Zbl 0464.92015
[12] J. Prüss. On resolvent operators for linear integro-differential equations of Volterra type. J. Integral Equations, 5(3):211-236, 1983.
[13] J. Prüss. On the qualitative behaviour of populations with age-specific interactions. Comput. Math. Appl., 9(3):327-339, 1983. · Zbl 0537.92017
[14] J. Prüss. Stability analysis for equilibria in age-specific population dynamics. Nonlinear Anal., 7(12):1291-1313, 1983. · Zbl 0532.92022
[15] J. Prüss. On the spectrum of \[C_0\] C0-semigroups. Trans. Amer. Math. Soc., 284(2):847-857, 1984. · Zbl 0572.47030
[16] R. Grimmer and J. Prüss. On linear Volterra equations in Banach spaces. Comput. Math. Appl., 11(1-3):189-205, 1985. · Zbl 0569.45020
[17] S.C. Hu, K. Deimling, and J. Prüss. Fixed points of weakly inward multivalued maps. Nonlinear Anal., 10(5):465-469, 1986. · Zbl 0607.47055
[18] J. Prüss. Periodic solutions of the thermostat problem. In Differential equations in Banach spaces (Bologna, 1985), volume 1223 of Lecture Notes in Math., pages 216-226. Springer, Berlin, 1986.
[19] J. Prüss. On linear Volterra equations of parabolic type in Banach spaces. Trans. Amer. Math. Soc., 301(2):691-721, 1987. · Zbl 0619.45004
[20] J. Prüss. A positivity method for linear Volterra equations. In Nonlinear analysis and applications (Arlington, Tex., 1986), volume 109 of Lecture Notes in Pure and Appl. Math., pages 483-488. Dekker, New York, 1987.
[21] J. Prüss. Positivity and regularity of hyperbolic Volterra equations in Banach spaces. Math. Ann., 279(2):317-344, 1987. · Zbl 0608.45007
[22] J. Prüss. Bounded solutions of Volterra equations. SIAM J. Math. Anal., 19(1):133-149, 1988. · Zbl 0642.45005
[23] J. Prüss. Linear hyperbolic Volterra equations of scalar type. In Semigroup theory and applications (Trieste, 1987), volume 116 of Lecture Notes in Pure and Appl. Math., pages 367-385. Dekker, New York, 1989. · Zbl 0419.34061
[24] Ph. Clément and J. Prüss. On second order differential equations in Hilbert space. Boll. Un. Mat. Ital. B (7), 3(3):623-638, 1989. · Zbl 0682.34044
[25] J. Prüss. Regularity and integrability of resolvents of linear Volterra equations. In Volterra integro-differential equations in Banach spaces and applications (Trento, 1987), volume 190 of Pitman Res. Notes Math. Ser., pages 339-367. Longman Sci. Tech., Harlow, 1989. · Zbl 1305.35157
[26] J. Prüss and H. Sohr. On operators with bounded imaginary powers in Banach spaces. Math. Z., 203(3):429-452, 1990. · Zbl 0665.47015
[27] J. Prüss. Maximal regularity of linear vector-valued parabolic Volterra equations. J. Integral Equa-tions Appl., 3(1):63-83, 1991. · Zbl 0760.45008
[28] Ph. Clément and J. Prüss. Completely positive measures and Feller semigroups. Math. Ann., 287(1):73-105, 1990. · Zbl 0717.47013
[29] J. Prüss. Quasilinear parabolic Volterra equations in spaces of integrable functions. In Semigroup theory and evolution equations (Delft, 1989), volume 135 of Lecture Notes in Pure and Appl. Math., pages 401-420. Dekker, New York, 1991. · Zbl 0742.45007
[30] Ph. Clément and J. Prüss. Global existence for a semilinear parabolic Volterra equation. Math. Z., 209(1):17-26, 1992. · Zbl 0724.45012
[31] W. Arendt and J. Prüss. Vector-valued Tauberian theorems and asymptotic behavior of linear Volterra equations. SIAM J. Math. Anal., 23(2):412-448, 1992. · Zbl 0765.45009
[32] J. Prüss and H. Sohr. Imaginary powers of elliptic second order differential operators in \[L^p\] Lp-spaces. Hiroshima Math. J., 23(1):161-192, 1993. · Zbl 0790.35023
[33] W. Desch and J. Prüss. Counterexamples for abstract linear Volterra equations. J. Integral Equations Appl., 5(1):29-45, 1993. · Zbl 0778.45013
[34] J. Prüss. Stability of linear evolutionary systems with applications to viscoelasticity. In Differential equations in Banach spaces (Bologna, 1991), volume 148 of Lecture Notes in Pure and Appl. Math., pages 195-214. Dekker, New York, 1993. · Zbl 0801.73029
[35] J. Prüss and W. Ruess. Weak almost periodicity of convolutions. J. Integral Equations Appl., 5(4):519-530, 1993. · Zbl 0810.45005
[36] J. Prüss. Stability of linear hyperbolic viscoelasticity. In Workshop on the mathematical theory of nonlinear and inelastic material behaviour (Darmstadt, 1992), volume 239 of Bonner Math. Schriften, pages 43-52. Univ. Bonn, Bonn, 1993. · Zbl 0830.73026
[37] J. Prüss. Linear evolutionary integral equations on the line. In Evolution equations, control theory, and biomathematics (Han sur Lesse, 1991), volume 155 of Lecture Notes in Pure and Appl. Math., pages 485-513. Dekker, New York, 1994. · Zbl 0793.45014
[38] J. Prüss and W. Schappacher. Semigroup methods for age-structured population dynamics. In Jahrbuch Überblicke Mathematik, 1994, pages 74-90. Friedr. Vieweg, Braunschweig, 1994. · Zbl 0799.92013
[39] W. Desch and J. Prüss. Dynamical behavior of a two-phase chemically reacting system including mass transfer. Differential Integral Equations, 7(3-4):767-793, 1994. · Zbl 0797.35089
[40] J. Prüss and W. Schappacher. Persistent age-distributions for a pair-formation model. J. Math. Biol., 33(1):17-33, 1994. · Zbl 0830.92020
[41] G. Propst and J. Prüss. On wave equations with boundary dissipation of memory type. J. Integral Equations Appl., 8(1):99-123, 1996. · Zbl 0858.35075
[42] J. Prüss. Poisson estimates and maximal regularity for evolutionary integral equations in \[L_p\] Lp-spaces. Rend. Istit. Mat. Univ. Trieste, 28(suppl.):287-321 (1997), 1996. Dedicated to the memory of Pierre Grisvard. · Zbl 0891.45011
[43] S. Monniaux and J. Prüss. A theorem of the Dore-Venni type for noncommuting operators. Trans. Amer. Math. Soc., 349(12):4787-4814, 1997. · Zbl 0887.47015
[44] M. Hieber and J. Prüss. Heat kernels and maximal \[L^p\] Lp estimates for parabolic evolution equations. Comm. Partial Differential Equations, 22(9-10):1647-1669, 1997. · Zbl 0886.35030
[45] G. Gripenberg, S.-O. Londen, and J. Prüss. On a fractional partial differential equation with dominating linear part. Math. Methods Appl. Sci., 20(16):1427-1448, 1997. · Zbl 0889.45010
[46] Ph. Clément, G. Da Prato, and J. Prüss. White noise perturbation of the equations of linear parabolic viscoelasticity. Rend. Istit. Mat. Univ. Trieste, 29(1-2):207-220 (1998), 1997. · Zbl 0911.45010
[47] M. Hieber and J. Prüss. Functional calculi for linear operators in vector-valued \[L^p\] Lp-spaces via the transference principle. Adv. Differential Equations, 3(6):847-872, 1998. · Zbl 0956.47008
[48] D. Bothe and J. Prüss. Dynamics of a core-shell reaction-diffusion system. Comm. Partial Differential Equations, 24(3-4):463-497, 1999. · Zbl 0920.35074
[49] E. Fašangová and J. Prüss. Evolution equations with dissipation of memory type. In Topics in nonlinear analysis, volume 35 of Progr. Nonlinear Differential Equations Appl., pages 213-250. Birkhäuser, Basel, 1999. · Zbl 0933.35033
[50] J. Prüss. Evolution problems with nonlocal damping. In Semi-groupes d’opérateurs et calcul fonctionnel (Besançon, 1998), volume 16 of Publ. Math. UFR Sci. Tech. Besançon, pages 113-119. Univ. Franche-Comté, Besançon, 1999. · Zbl 0957.35099
[51] H. Petzeltová and J. Prüss. Global stability of a fractional partial differential equation. J. Integral Equations Appl., 12(3):323-347, 2000. · Zbl 0987.35022
[52] R. Chill and J. Prüss. Asymptotic behaviour of linear evolutionary integral equations. Integral Equations Operator Theory, 39(2):193-213, 2001. · Zbl 1011.45004
[53] Ph. Clément and J. Prüss. An operator-valued transference principle and maximal regularity on vector-valued \[L_p\] Lp-spaces. In Evolution equations and their applications in physical and life sciences (Bad Herrenalb, 1998), volume 215 of Lecture Notes in Pure and Appl. Math., pages 67-87. Dekker, New York, 2001. · Zbl 0988.35100
[54] J. Prüss and R. Schnaubelt. Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time. J. Math. Anal. Appl., 256(2):405-430, 2001. · Zbl 0994.35076
[55] W. Desch, M. Hieber, and J. Prüss. \[L^p\] Lp-theory of the Stokes equation in a half space. J. Evol. Equ., 1(1):115-142, 2001. · Zbl 0983.35102
[56] E. Fašangová and J. Prüss. Asymptotic behaviour of a semilinear viscoelastic beam model. Arch. Math. (Basel), 77(6):488-497, 2001. · Zbl 0987.35112
[57] D. Bothe and J. Prüss. Mass transport through charged membranes. In Elliptic and parabolic problems (Rolduc/Gaeta, 2001), pages 332-342. World Sci. Publ., River Edge, NJ, 2002. · Zbl 1033.35048
[58] J. Escher, J. Prüss, and G. Simonett. On the Stefan problem with surface tension. In Elliptic and parabolic problems (Rolduc/Gaeta, 2001), pages 377-388. World Sci. Publ., River Edge, NJ, 2002. · Zbl 1045.35108
[59] J. Prüss. Maximal regularity for abstract parabolic problems with inhomogeneous boundary data in \[L_p\] Lp-spaces. In Proceedings of EQUADIFF, 10 (Prague, 2001), volume 127, pages 311-327, 2002. · Zbl 1010.35064
[60] J. Prüss. Maximal regularity for evolution equations in \[L_p\] Lp-spaces. Conf. Semin. Mat. Univ. Bari, (285):1-39 (2003), 2002. · Zbl 1168.35021
[61] G. Metafune, J. Prüss, A. Rhandi, and R. Schnaubelt. The domain of the Ornstein-Uhlenbeck operator on an \[L^p\] Lp-space with invariant measure. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 1(2):471-485, 2002. · Zbl 1170.35375
[62] S.-O. Londen, H. Petzeltová, and J. Prüss. Global well-posedness and stability of a partial integro-differential equation with applications to viscoelasticity. J. Evol. Equ., 3(2):169-201, 2003. · Zbl 1035.45007
[63] J. Escher, J. Prüss, and G. Simonett. Analytic solutions for a Stefan problem with Gibbs-Thomson correction. J. Reine Angew. Math., 563:1-52, 2003. · Zbl 1242.35220
[64] Ph. Clément and J. Prüss. Some remarks on maximal regularity of parabolic problems. In Evolution equations: applications to physics, industry, life sciences and economics (Levico Terme, 2000), volume 55 of Progr. Nonlinear Differential Equations Appl., pages 101-111. Birkhäuser, Basel, 2003. · Zbl 1036.35115
[65] R. Denk, M. Hieber, and J. Prüss. Towards an \[L^1\] L1-theory for vector-valued elliptic boundary value problems. In Evolution equations: applications to physics, industry, life sciences and economics (Levico Terme, 2000), volume 55 of Progr. Nonlinear Differential Equations Appl., pages 141-147. Birkhäuser, Basel, 2003. · Zbl 1039.35135
[66] J. Escher, J. Prüss, and G. Simonett. A new approach to the regularity of solutions for parabolic equations. In Evolution equations, volume 234 of Lecture Notes in Pure and Appl. Math., pages 167-190. Dekker, New York, 2003. · Zbl 1070.35009
[67] R. Denk, G. Dore, M. Hieber, J. Prüss, and A. Venni. New thoughts on old results of R. T. Seeley. Math. Ann., 328(4):545-583, 2004. · Zbl 1113.35057
[68] J. Prüss and G. Simonett. Maximal regularity for evolution equations in weighted \[L_p\] Lp-spaces. Arch. Math. (Basel), 82(5):415-431, 2004. · Zbl 1062.35034
[69] G. Metafune, J. Prüss, R. Schnaubelt, and A. Rhandi. \[L^p\] Lp-regularity for elliptic operators with unbounded coefficients. Adv. Differential Equations, 10(10):1131-1164, 2005. · Zbl 1156.35385
[70] D. Bothe, J. Prüss, and G. Simonett. Well-posedness of a two-phase flow with soluble surfactant. In Nonlinear elliptic and parabolic problems, volume 64 of Progr. Nonlinear Differential Equations Appl., pages 37-61. Birkhäuser, Basel, 2005. · Zbl 1095.35022
[71] G. Metafune, D. Pallara, J. Prüss, and R. Schnaubelt. \[L^p\] Lp with singular coefficients. Z. Anal. Anwendungen, 24(3):497-521, 2005. · Zbl 1097.35060
[72] J. Prüss, L. Pujo-Menjouet, G. Webb, and R. Zacher. Analysis of a model for the dynamics of prions. Discrete Contin. Dyn. Syst. Ser. B, 6(1):225-235, 2006. · Zbl 1088.92043
[73] J. Prüss, R. Racke, and S. Zheng. Maximal regularity and asymptotic behavior of solutions for the Cahn-Hilliard equation with dynamic boundary conditions. Ann. Mat. Pura Appl. (4), 185(4):627-648, 2006. · Zbl 1232.35081
[74] J. Prüss and G. Simonett. Operator-valued symbols for elliptic and parabolic problems on wedges. In Partial differential equations and functional analysis, volume 168 of Oper. Theory Adv. Appl., pages 189-208. Birkhäuser, Basel, 2006. · Zbl 1121.47009
[75] J. Prüss and M. Wilke. Maximal \[L_p\] Lp-regularity and long-time behaviour of the non-isothermal Cahn-Hilliard equation with dynamic boundary conditions. In Partial differential equations and functional analysis, volume 168 of Oper. Theory Adv. Appl., pages 209-236. Birkhäuser, Basel, 2006. · Zbl 1109.35060
[76] H. Engler, J. Prüss, and G. Webb. Analysis of a model for the dynamics of prions. II. J. Math. Anal. Appl., 324(1):98-117, 2006. · Zbl 1103.92024
[77] A. Bátkai, K. Engel, J. Prüss, and R. Schnaubelt. Polynomial stability of operator semigroups. Math. Nachr., 279(13-14):1425-1440, 2006. · Zbl 1118.47034
[78] R. Chill, E. Fašangová, and J. Prüss. Convergence to steady state of solutions of the Cahn-Hilliard and Caginalp equations with dynamic boundary conditions. Math. Nachr., 279(13-14):1448-1462, 2006. · Zbl 1107.35058
[79] Y. Latushkin, J. Prüss, and R. Schnaubelt. Stable and unstable manifolds for quasilinear parabolic systems with fully nonlinear boundary conditions. J. Evol. Equ., 6(4):537-576, 2006. · Zbl 1113.35110
[80] J. Prüss, A. Rhandi, and R. Schnaubelt. The domain of elliptic operators on \[L^p(\mathbb{R}^d)\] Lp(Rd) with unbounded drift coefficients. Houston J. Math., 32(2):563-576, 2006. · Zbl 1229.35043
[81] J. Prüss, J. Saal, and G. Simonett. Analytic solutions for the classical two-phase Stefan problem. In Proceedings of Equadiff 11, pages 415-425. Comenius University Press, 2007. · Zbl 1130.35136
[82] J. Prüss and G. Simonett. \[H^\infty H\]∞-calculus for the sum of non-commuting operators. Trans. Amer. Math. Soc., 359(8):3549-3565, 2007. · Zbl 1132.47014
[83] S. Fornaro, G. Metafune, D. Pallara, and J. Prüss. \[L^p\] Lp-theory for some elliptic and parabolic problems with first order degeneracy at the boundary. J. Math. Pures Appl. (9), 87(4):367-393, 2007. · Zbl 1387.35297
[84] J. Prüss, J. Saal, and G. Simonett. Existence of analytic solutions for the classical Stefan problem. Math. Ann., 338(3):703-755, 2007. · Zbl 1130.35136
[85] R. Denk, M. Hieber, and J. Prüss. Optimal \[L^p\] Lp-estimates for parabolic boundary value problems with inhomogeneous data. Math. Z., 257(1):193-224, 2007. · Zbl 1210.35066
[86] D. Bothe and J. Prüss. \[L_p\] Lp-theory for a class of non-Newtonian fluids. SIAM J. Math. Anal., 39(2):379-421, 2007. · Zbl 1172.35052
[87] Y. Latushkin, J. Prüss, and R. Schnaubelt. Center manifolds and dynamics near equilibria of quasilinear parabolic systems with fully nonlinear boundary conditions. Discrete Contin. Dyn. Syst. Ser. B, 9(3-4):595-633, 2008. · Zbl 1168.35021
[88] J. Prüss and G. Simonett. Maximal regularity for degenerate evolution equations with an exponential weight function. In Functional analysis and evolution equations, pages 531-545. Birkhäuser, Basel, 2008. · Zbl 1169.35318
[89] J. Prüss, S. Sperlich, and M. Wilke. An analysis of Asian options. In Functional analysis and evolution equations, pages 547-559. Birkhäuser, Basel, 2008. · Zbl 1187.91215
[90] J. Prüss and G. Simonett. Stability of equilibria for the Stefan problem with surface tension. SIAM J. Math. Anal., 40(2):675-698, 2008. · Zbl 1157.35502
[91] R. Denk, J. Prüss, and R. Zacher. Maximal \[L_p\] Lp-regularity of parabolic problems with boundary dynamics of relaxation type. J. Funct. Anal., 255(11):3149-3187, 2008. · Zbl 1160.35030
[92] J. Prüss, R. Schnaubelt, and R. Zacher. Global asymptotic stability of equilibria in models for virus dynamics. Math. Model. Nat. Phenom., 3(7):126-142, 2008. · Zbl 1337.92216
[93] M. Hieber, L. Lorenzi, J. Prüss, A. Rhandi, and R. Schnaubelt. Global properties of generalized Ornstein-Uhlenbeck operators on \[L^p(\mathbb{R}^N,\mathbb{R}^N)\] Lp(RN,RN)with more than linearly growing coefficients. J. Math. Anal. Appl., 350(1):100-121, 2009. · Zbl 1162.47034
[94] J. Prüss. Decay properties for the solutions of a partial differential equation with memory. Arch. Math. (Basel), 92(2):158-173, 2009. · Zbl 1166.45007
[95] J. Prüss, G. Simonett, and R. Zacher. On convergence of solutions to equilibria for quasilinear parabolic problems. J. Differential Equations, 246(10):3902-3931, 2009. · Zbl 1172.35010
[96] F. Alabau-Boussouira, J. Prüss, and R. Zacher. Exponential and polynomial stability of a wave equation for boundary memory damping with singular kernels. C. R. Math. Acad. Sci. Paris, 347(5-6):277-282, 2009. · Zbl 1175.35012
[97] J. Prüss and G. Simonett. Analysis of the boundary symbol for the two-phase Navier-Stokes equations with surface tension. In Nonlocal and abstract parabolic equations and their applications, volume 86 of Banach Center Publ., pages 265-285. Polish Acad. Sci. Inst. Math., Warsaw, 2009. · Zbl 1167.35555
[98] J. Prüss, G. Simonett, and R. Zacher. On normal stability for nonlinear parabolic equations. Discrete Contin. Dyn. Syst., (Dynamical systems, differential equations and applications. 7th AIMS Conference, suppl.):612-621, 2009. · Zbl 1194.35047
[99] J. Prüss, V. Vergara, and R. Zacher. Well-posedness and long-time behaviour for the non-isothermal Cahn-Hilliard equation with memory. Discrete Contin. Dyn. Syst., 26(2):625-647, 2010. · Zbl 1191.45005
[100] D. Bothe and J. Prüss. On the two-phase Navier-Stokes equations with Boussinesq-Scriven surface fluid. J. Math. Fluid Mech., 12(1):133-150, 2010. · Zbl 1261.35100
[101] D. Bothe and J. Prüss. Stability of equilibria for two-phase flows with soluble surfactant. Quart. J. Mech. Appl. Math., 63(2):177-199, 2010. · Zbl 1273.76111
[102] M. Köhne, J. Prüss, and M. Wilke. On quasilinear parabolic evolution equations in weighted \[L_p\] Lp-spaces. J. Evol. Equ., 10(2):443-463, 2010. · Zbl 1239.35075
[103] J. Prüss and G. Simonett. On the two-phase Navier-Stokes equations with surface tension. Interfaces Free Bound., 12(3):311-345, 2010. · Zbl 1202.35359
[104] J. Prüss and G. Simonett. On the Rayleigh-Taylor instability for the two-phase Navier-Stokes equations. Indiana Univ. Math. J., 59(6):1853-1871, 2010. · Zbl 1234.35323
[105] J. Prüss and G. Simonett. Analytic solutions for the two-phase Navier-Stokes equations with surface tension and gravity. In Parabolic problems, volume 80 of Progr. Nonlinear Differential Equations Appl., pages 507-540. Birkhäuser/Springer Basel AG, Basel, 2011. · Zbl 1247.35207
[106] J. Prüss and M. Wilke. On conserved Penrose-Fife type models. In Parabolic problems, volume 80 of Progr. Nonlinear Differential Equations Appl., pages 541-576. Birkhäuser/Springer Basel AG, Basel, 2011. · Zbl 1257.35107
[107] J. Prüss and S. Shimizu. On well-posedness of incompressible two-phase flows with phase transitions: the case of non-equal densities. J. Evol. Equ., 12(4):917-941, 2012. · Zbl 1259.35226
[108] J. Prüss, Y. Shibata, S. Shimizu, and G. Simonett. On well-posedness of incompressible two-phase flows with phase transitions: the case of equal densities. Evol. Equ. Control Theory, 1(1):171-194, 2012. · Zbl 1302.76066
[109] J. Prüss, G. Simonett, and R. Zacher. Qualitative behavior of solutions for thermodynamically consistent Stefan problems with surface tension. Arch. Ration. Mech. Anal., 207(2):611-667, 2013. · Zbl 1269.80004
[110] J. Prüss, G. Simonett, and M. Wilke. Invariant foliations near normally hyperbolic equilibria for quasilinear parabolic problems. Adv. Nonlinear Stud., 13(1):231-243, 2013. · Zbl 1282.35200
[111] M. Köhne, J. Prüss, and M. Wilke. Qualitative behaviour of solutions for the two-phase Navier-Stokes equations with surface tension. Math. Ann., 356(2):737-792, 2013. · Zbl 1317.35300
[112] D. Bothe, M. Köhne, and J. Prüss. On a class of energy preserving boundary conditions for incompressible Newtonian flows. SIAM J. Math. Anal., 45(6):3768-3822, 2013. · Zbl 1286.35191
[113] J. Prüss, G. Simonett, and R. Zacher. On the qualitative behaviour of incompressible two-phase flows with phase transitions: the case of equal densities. Interfaces Free Bound., 15(4):405-428, 2013. · Zbl 1290.35347
[114] J. Prüss, J. Saal, and G. Simonett. Singular limits for the two-phase Stefan problem. Discrete Contin. Dyn. Syst., 33(11-12):5379-5405, 2013. · Zbl 1274.35433
[115] J. Prüss and G. Simonett. On the manifold of closed hypersurfaces in \[\mathbb{R}^n\] RnD. Discrete Contin. Dyn. Syst., 33(11-12):5407-5428, 2013. · Zbl 1274.35434
[116] J. Prüss, S. Shimizu, and M. Wilke. Qualitative behaviour of incompressible two-phase flows with phase transitions: the case of non-equal densities. Comm. Partial Differential Equations, 39(7):1236-1283, 2014. · Zbl 1305.35157
[117] J. LeCrone, J. Prüss, and M. Wilke. On quasilinear parabolic evolution equations in weighted \[L_p\] Lp-spaces II. J. Evol. Equ., 14(3):509-533, 2014. · Zbl 1304.35382
[118] J. Prüss, Y. Shao, and G. Simonett. On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension. Interfaces Free Bound., 17(4):555-600, 2015. · Zbl 1336.35373
[119] J. Prüss. Perturbations of exponential dichotomies for hyperbolic evolution equations. In Operator semigroups meet complex analysis, harmonic analysis and mathematical physics, volume 250 of Oper. Theory Adv. Appl., pages 453-461. Birkhäuser/Springer, Cham, 2015. · Zbl 1345.34113
[120] J. Prüss, G. Simonett, and M. Wilke. On thermodynamically consistent Stefan problems with variable surface energy. Arch. Ration. Mech. Anal., 220(2):603-638, 2016. · Zbl 1334.80009
[121] M. Hieber, M. Nesensohn, J. Prüss, and K. Schade. Dynamics of nematic liquid crystal flows: the quasilinear approach. Ann. Inst. H. Poincaré Anal. Non Linéaire, 33(2):397-408, 2016. · Zbl 1334.35235
[122] G. Mola, N. Okazawa, J. Prüss, and T. Yokota. Semigroup-theoretic approach to identification of linear diffusion coefficients. Discrete Contin. Dyn. Syst. Ser. S, 9(3):777-790, 2016. · Zbl 1346.35235
[123] J. Prüss, S. Shimizu, G. Simonett, and M. Wilke. On incompressible two-phase flows with phase transitions and variable surface tension. In Recent developments of mathematical fluid mechanics, Adv. Math. Fluid Mech., pages 411-442. Birkhäuser/Springer, Basel, 2016. · Zbl 1336.35304
[124] M. Hein and J. Prüss. The Hartman-Grobman theorem for semilinear hyperbolic evolution equations. J. Differential Equations, 261(8):4709-4727, 2016. · Zbl 1347.35178
[125] J. Prüss and G. Simonett. On the Muskat flow. Evol. Eq. Control Theory, 5(4):631-645, 2016. · Zbl 1351.35271
[126] M. Hieber and J. Prüss. Thermodynamically consistent modeling and analysis of nematic liquid crystal flows. In Mathematical Fluid Dynamics: Present and Future. Springer Proc. Math & Statistics 183, Y. Suzuki, Y. Shibata (eds.), to appear. · Zbl 1366.76010
[127] D. Bothe and Jan Prüss. On the interface formation model for dynamic triple lines. In Mathematical Fluid Dynamics: Present and Future. Springer Proc. Math & Statistics 183, Y. Suzuki, Y. Shibata (eds.), to appear. · Zbl 1366.76089
[128] J. Prüss and S. Shimizu. Qualitative behaviour of incompressible two-phase flows with phase transitions: the isothermal case. J. Math. Sci., to appear. · Zbl 1387.35633
[129] M. Hieber and J. Prüss. Modeling and analysis of nematic liquid crystal flows I. Math. Ann., to appear. · Zbl 1366.76010
[130] M. Herberg, M. Meyries, J. Prüss, and M. Wilke. Reaction-diffusion systems of Maxwell-Stefan type with reversible mass-action kinetics. Nonlinear Anal., to appear. · Zbl 1371.35363
[131] D. Bothe and J. Prüss. Modeling and analysis of reactive multi-component two-phase flow with mass transfer and phase transition: the isothermal incompressible case. Discrete Cont. Dyn. Sys. (S), to appear. · Zbl 1390.35258
[132] J. Prüss and M. Wilke. Addendum to the paper: On quasilinear evolution equations in weighted \[{L}_p\] Lp-spaces II. J. Evol. Eq., to appear. · Zbl 1387.35384
[133] M. Hieber and J. Prüss. Modeling and analysis of the Ericksen-Leslie equations for nematic liquid crystal flows. In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, to appear. · Zbl 1366.76010
[134] J. Prüss and S. Shimizu. Modeling of two-phase flows with and without phase transitions. In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, to appear. · Zbl 1387.35633
[135] A. Favini, N. Okazawa, and J. Prüss. Singular perturbation approach to Legendre type operators. Riv. Mat. Univ. Parma, to appear. · Zbl 1376.35073
[136] J. Prüss. On second-order elliptic operators with complete first-order boundary degeneration and strong outward drift. Archiv Math., to appear. · Zbl 1366.35097
[137] J. Prüss. On the Quasi-Geostrophic Equations on Compact Closed Surfaces in \[\mathbb{R}^3\] R3. J. Funct. Anal., to appear. · Zbl 1357.35203
[138] H.-J. Warnecke, J. Prüss, and H. Langemann. On a mathematical model of loop reactors I. Chem. Eng. Sci., 40:2321-2326, 1985.
[139] H.-J. Warnecke, J. Prüss, L. Leber, and H. Langemann. On a mathematical model of loop reactors II. Chem. Eng. Sci., 40:2327-2331, 1985.
[140] H.-J. Warnecke, M. Weidenbach, J. Prüss, and H. Langemann. Bestimmung von Dispersionskoeffizienten in gas-flüssig Strahldüsen-Schlaufenreaktoren. Chem. Ing. Technik, 59:496-499, 1987.
[141] H.-J. Warnecke, G. Tamm, and J. Prüss. Absorption von Kohlendioxid in Wasser. Chem. Ing. Technik, 60:401-403, 1988.
[142] J. Prüss and H.-J. Warnecke. A new model for isobutene separation from C4-cuts. In Proc. Conf. Chemeca, pages 594-601, 1988.
[143] H.-J. Warnecke, D. Vaupel, J. Prüss, and H. Langemann. Gasphasedispersion in gas-flüssig Strahldüsen-Schlaufenreaktoren. Chem. Ing. Technik, 61, 1989.
[144] J. Prüss and H.-J. Warnecke Isobuten-Abtrennung: Experimente und Modellierung. In Dechema-Monographien 118, Katalyse, pages 337-347. 1989.
[145] R. Schlott, J. Prüss and G. Mrozynski. Integration of wideband service in time division multiplex systems. Trans. IEEE, 39:256-268, 1991.
[146] H.-J. Warnecke, J. Prüss, B. Bienek, and R.G. Presenti. Modeling isobutene extraction from mixed C4-streams. Chem. Eng. Sci., 47:533-541, 1992.
[147] P. Hußmann, Ch. Kube, J. Prüss, F. Reineke, and H.-J. Warnecke. Oxidation of organic air pol-lutions in an aerosol operated jet loop reactor. In Proc. Fourth World Congress of Chemical Engineering, 1992. · Zbl 0797.35089
[148] M. Lindert, B. Kochbeck, J. Prüss, and H.-J. Warnecke. Scale-up of airlift-loop bioreactors based on modeling the oxygen mass transfer. Chem. Eng. Sci., 47:2281-2286, 1992.
[149] T. Stockhausen, J. Prüss, and H.U. Moritz. An isoperibol calorimeter: A simple apparatus for monitoring polymerization reactions. In Proc. Fourth Int. Workshop on Polymer Reaction Engineering, pages 341-349, 1992.
[150] H.-J. Warnecke, J. Prüss, G. Tamm, and M. Brinkmann. Influence of recycling on mass transfer and reaction in a g-l jet loop reactor with variable interfacial area. Chem. Eng. Technol., 16:58-61, 1993.
[151] T. Blume, J. Prüss, and H.-J. Warnecke. Zur Parameterbestimmung bei chemischen Prozessen. Chem. Ing. Technik, 65:914-920, 1993.
[152] M. Brinkmann, J. Prüss, and H.-J. Warnecke. Influence of liquid viscosity on hydrodynamics and mass transfer in a g-l jet loop reactor. In Proc. 3rd German-Japanese symp. bubble columns, pages 141-146, 1994.
[153] Ch. Kube, T. Blume, J. Prüss, and H.-J. Warnecke. Chemical absorption of mercaptan in an aerosol operated loop reactor. Can. J. Chem. Eng., 72:1000-1006, 1994.
[154] J. Prüss and R. Schlott. Ergodicity of multiserver queueing systems with various bandwidth allocation techniques. Australian Telecom. Res., 29:13-23, 1995.
[155] Ch. Kersting, J. Prüss, and H.-J. Warnecke. Residence time distribution of a screw loop reactor: Experiments and modelling. Chem. Eng. Sci., 50:299-308, 1995.
[156] H.-J. Warnecke, J. Prüss, W. Hübinger, and R. Minges. Modellierung des Stoffaustausches von flüchtigen organischen Verbindungen in hochviskosen Medien. Chemie Ingenieur Technik, 5:570-577, 1995.
[157] H. Güldener, J.G. Duffy, M. Weidenbach, J. Prüss, and H.-J. Warnecke. Cooling of extruder strands - experiments and modelling. Plastics, Rubber and Composites Processing and Application, 23:305-310, 1995. · Zbl 1239.35075
[158] M. Brinkmann, H.-J. Warnecke, and J. Prüss. Modellierung reaktiver Stoffaustauschprozesse. Chemie Ingenieur Technik, 68:239-253, 1996.
[159] D. Meier, H.-J. Warnecke, and J. Prüss. Modeling of mass transfer of volatile organic compounds in highly viscous media. The Chem. Eng. J., 67:45-53, 1997.
[160] A. Ludwig, U. Flechtner, J. Prüss, and H.-J. Warnecke. Formation of emulsions in a screw loop reactor. Chem. Eng. Technol., 20:149-161, 1997.
[161] J. Prüss, M. Schäfer, and H.-J. Warnecke. Influence of hydrodynamics on modelling absorption processes with fast chemical reaction. In Proc. 3rd Japanese/German symp. bubble columns, 1997.
[162] Z. Chen, J. Prüss, D. Meier, and H.-J. Warnecke. Modelling and simulation of extraction of oligomer from granular polymer. The Chem. Eng. J., 68:165-172, 1997.
[163] M. Brinkmann, M. Schäfer, H.-J. Warnecke, and J. Prüss. Modelling reactive absorption processes via film-renewal theory: Numerical schemes and simulation results. Computers & Chem. Eng., 22:515-524, 1998.
[164] Z. Chen, J. Prüss, and H.-J. Warnecke. A population balance model for disperse systems. Part I: Drop size distribution in emulsions. Chem. Eng. Sci., 53:1059-1066, 1998.
[165] M. Wiebe, J. Kümmel, J. Prüss, and H.-J. Warnecke. Kontinuierliche Epoxidation von Sojaöl: Prozessanalyse und Verfahrensentwicklung. Fett/Lipid, 100:404-411, 1998.
[166] O. Decreßin, K. Forell, J. Prüss, and H.-J. Warnecke. Modellierung und Validierung eines styrolabbauenden Biofilters. Chem. Ing. Technik, 71:619-624, 1999.
[167] Z. Chen, W. Pauer, H.U. Moritz, J. Prüss, and H.-J. Warnecke. A population balance model for disperse systems: Particle size distribution in suspension polymerization. Chin. J. Chem. Eng., 7:332-344, 1999.
[168] H.-J. Warnecke, M. Schäfer, J. Prüss, and M. Weidenbach. A concept to simulate an industrial size tube reactor with fast complex kinetics and absorbtion of two gases on the basis of CFD-modelling. Chem. Eng. Sci., 54:2513-2519, 1999.
[169] Z. Chen, W. Pauer, H.U. Moritz, J. Prüss, and H.-J. Warnecke. Modeling of the suspension polymerization process using a particle population balance. Chem. Eng. Technol., 22:609-616, 1999.
[170] M. Motzigemba, D. Bothe, H.C. Broecker, J. Prüss, and H.-J. Warnecke. A contribution to simulation of mixing in screw extruders employing commercial CFD-software. In Proc. 10th European Conf. on Mixing, 297-304, 2000. · Zbl 1062.35034
[171] I. Hilker, D. Bothe, J. Prüss, and H.-J. Warnecke. Chemo-enzymatic epoxidation of unsaturated plant oils. Chem. Eng. Sci., 56:427-432, 2001.
[172] D. Bothe, G. Koschut, J. Prüss, and H.-J. Warnecke. Instationary shrinking-core model for heterogeneous ionic reactions. Chem. Eng. Technol., 24:809-814, 2001.
[173] O. Reipschläger, D. Bothe, H.C. Broecker, B. Monien, J. Prüss, H.-J. Warnecke, B. Weigand, and K. Wielage. Modellierung und Simulation zur Optimierung des Zerstäubungsprozesses im Ultraschall-Stehwellenfeld. In Frontiers in Simulation, eds. K. Panreck, F. Dörrscheidt, ASIM Forschungsberichte Simulation. SCS Publishing House Erlangen, 2001. · Zbl 0464.47035
[174] M. Koebe, D. Bothe, J. Prüss, and H.-J. Warnecke. 3D-Direct Numerical Simulation of air bubbles in water at high Reynolds numbers. In Proc. 2002-ASME Joint U.S.-European Fluids Eng. Conf., 2002.
[175] M. Motzigemba, N. Roth, D. Bothe, H.-J. Warnecke, J. Prüss, K. Wielage, and B. Weigand. The effect of non-Newtonian flow behaviour on binary droplet collisions: VOF-simulations and experimental analysis. In Proc. 18th annual conf. liquid atomization and spray systems (A. Lozano ed.), pages 559-564, 2002. · Zbl 1351.35271
[176] O. Reipschläger, D. Bothe, B. Monien, J. Prüss, B. Weigand, and H.-J. Warnecke. Modelling and simulation of the desintegration process in ultrasonic standing wave atomizers. In Proc. 18th Annual Conf. Liquid Atomization and Spray Systems (A. Lozano ed.), pages 449-454, 2002. · Zbl 0810.45005
[177] D. Bothe, M. Koebe, J. Prüss, H.-J. Warnecke, and K. Wielage. Direct numerical simulation of mass transfer between rising gas bubbles and water. In Bubble flows: Analysis, Modelling and Calculation (M. Sommerfeld ed.), Heat and Mass Transfer, pages 159-174. Springer, 2004. · Zbl 1191.45005
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