Prof. Dr. Maria Specovius-Neugebauer

Partielle Differentialgleichungen und Kontinuumsmechanik

Standort
Heinr.-Plett-Straße 40
34132 Kassel
Raum
Heinr.-Plett-Str., Raum 3304

Aktuelle Lehrveranstaltungen  (Prof. Dr. Maria Specovius-Neugebauer)


Veröffentlichungen  (Prof. Dr. Maria Specovius-Neugebauer)

Bulíček, M., Frehse, J., Specovius-Neugebauer, M., 2021. Regularity results for two standard models in elasto-perfect-plasticity theory with hardening. Journal of Convex Analysis 28, 395–428.
Pileckas, K., Specovius-Neugebauer, M., 2017. Spatial behavior of solutions to the time periodic Stokes system in a three dimensional layer. Journal of Differential Equations 263, 6317–6346. https://doi.org/10.1016/j.jde.2017.07.014
Steigemann, M., Specovius-Neugebauer, M., 2014. On the change of energy caused by crack propagation in 3-dimensional anisotropic solids. Academy of Sciences of the Czech Republic. Mathematical Institute. Mathematica Bohemica 139, 401–416.
Specovius-Neugebauer, M., Steigemann, M., Nazarov, S.A., Richard, H.-A., 2013. Energy release rates near the interface between two anisotropic solids. Engineering Fracture Mechanics -. https://doi.org/10.1016/j.engfracmech.2013.01.020
Khludnev, A., Leugering, G., Specovius-Neugebauer, M., 2012. Optimal Control of Inclusion and Crack Shapes in Elastic Bodies. Journal of Optimization Theory and Applications 155, 54–78. https://doi.org/10.1007/s10957-012-0053-2
Specovius-Neugebauer, M., 2012. Fractional Interior Differentiability of the Stress Velocities to Elastic Plastic Problems with Hardening. Bollettino U.M.I. IV, 469–494.
Specovius-Neugebauer, M., 2012. Das Energie-Kriterium - neue Entwicklungen zu einer alten Idee, in: Zuverlässigkeit von Bauteilen durch bruchmechanische Bewertung: Regelwerke, Anwendungen und Trends. Berlin, S. TBD.
Frehse, J., Specovius-Neugebauer, M., 2011. H  non-monotone parabolic systems in two space dimensions. Applicable Analysis 90, 67–84.
Specovius-Neugebauer, M., 2011. Verallgemeinerte Energiefunktionale zur Modellierung von kleinen plastischen Zonen, in: Klingbeil, D. (Hrsg.), Bruchmechanische Werkstoff- und Bauteilbewertung: Beanspruchungsanalyse, Prüfmethoden und Anwendungen. Berlin, S. 27–34.
Frehse, J., Specovius-Neugebauer, M., 2011. Hölder continuous Young measure solutions to coercive non-monotone parabolic systems in two space dimensions. Applicable Analysis 90:, 67–84. https://doi.org/10.1080/00036811003735923
Frehse, J., Specovius-Neugebauer, M., 2010. Morrey estimates and Hölder continuity for solutions to parabolic equations with entropy inequalities. Journal für die reine und angewandte Mathematik 638, 169–188. https://doi.org/10.1515/CRELLE.2010.006
Specovius-Neugebauer, M., Steigemann, M., Richard, H.A., Markus, F., 2009. Fatigue crack growth in two-dimensional structures consisting of functionally graded materials, in: Proceedings of ICF12, 12th International Conference on Fracture. S. TBD.
Specovius-Neugebauer, M., Nazarov, S.A., 2009. Singularities at the tip of a crack on the interface of piezoelectric bodies. Journal of Mathematical Sciences 159, 524–540.
Steigemann, M., Fulland, M., Specovius-Neugebauer, M., Richard, H.A., 2009. Numerical simulation of crack paths in materials with a functional gradation perpendicular to the crack orientation, in: Gruppo Italiano Frattura (Hrsg.), Proceedings of CP2009, International Conference on Crack Paths. Gruppo Italiano Frattura, Vizenca, S. 775–782.
Specovius-Neugebauer, M., 2009. Rissausbreitung in funktional gradierten ebenen Strukturen, in: Bruchmechanische Werkstoff- und Bauteilbewertung: Beanspruchungsanalyse, Prüfmethoden und Anwendungen. Berlin, S. 303–310.
Frehse, J., Specovius-Neugebauer, M., 2009. Existence of regular solutions to a class of parabolic systems in two space dimensions with critical growth behaviour. Annali dell’Universita di Ferrara 55, 239–261. https://doi.org/10.1007/s11565-009-0071-7
Frehse, J., Specovius-Neugebauer, M., 2009. Renormalized estimates for solutions to the Navier-Stokes equation. Funct. Approx. Comment. Math. 40, 11–32. https://doi.org/10.7169/facm/1238418795
Specovius-Neugebauer, M., 2008. Der Einfluss von Inhomogenitäten auf die Rissfortpflanzung in ebenen Strukturen, in: Zuverlässigkeit von Bauteilen durch bruchmechanische Bewertung: Regelwerke, Anwendungen und Trends. Berlin, S. 299–309.
Specovius-Neugebauer, M., Steigemann, M., 2008. Eigenfunctions of the 2-dimensional anisotropic elasticity operator and algebraic equivalent materials. Journal of Applied Mathematics and Mechanics 88, 100–115. https://doi.org/10.1002/zanuu.200700086
Nazarov, S.A., Specovius-Neugebauer, M., 2008. Optimal convergence results for the Brezzi-Pitkäranta approximation of the Stokes problem: exterior domains., in: Rencławowicz, J., Zaj ‘ aczkowski, W.M. (Hrsg.), Parabolic and Navier-Stokes equations. Part 1. Polish Acad. Sci. Inst. Math., Warsaw, S. 297–320.
Specovius-Neugebauer, M., 2008. Crack propagation in anisotropic inhomogeneous 2-D-structures, in: Proceedings of ECF17, 17th European Conference on Fracture. Brno, S. TBD.
Specovius-Neugebauer, M., 2008. Crack propagation in anisotropic, plane composite structures, in: PAMM, Proceedings Appl. Math. Mech. Bremen, S. 10241–10242.
Specovius-Neugebauer, M., Nazarov, S.A., 2008. Artificial boundary conditions for elliptic systems on polyhedral truncating surfaces. Sib. Zh. Ind. Mat. 11, 105–124.
Specovius-Neugebauer, M., 2008. Das Dugdale Kriterium in isotropen Medien, in: Berichtsband der 40. Tagung des DVM- Arbeitskreises Bruchvorgänge "Zuverlässigkeit von Bauteilen durch bruchmechanische Bewertung Regelwerke, Anwendungen und Trends. DVM, Stuttgart, S. TBD.
Nazarov, S.A., Sequeira, A., Specovius-Neugebauer, M., Videman, J., 2008. Artificial boundary conditions for viscoelastic flows. Mathematical Methods in the Applied Sciences 31, 937–958. https://doi.org/10.1002/mma.950
Specovius-Neugebauer, M., 2007. Computation of stress intensity factors in a plane homogeneous anisotropic solid, in: PAMM, Proceedings Appl. Math. Mech. Zürich, S. 4030029–4030030.
Specovius-Neugebauer, M., Blazy, S., Nazarov, S.A., 2007. Artificial boundary conditions of pressure type for viscous flows in a system of pipes. Journal of Mathematical Fluid Mechanics 9, 1–33. https://doi.org/10.1007/s00021-005-0189-z
Nazarov, S.A., Specovius-Neugebauer, M., 2006. Applying the energy criterion of fracture to determine a gently sloped form of a crack. Journal of Applied Mechanics and Technical Physics 47, 714–723.
Specovius-Neugebauer, M., Nazarov, S.A., Langer, S., 2006. Affine transformations of three-dimensional anisotropic media, and explicit formulas for fundamental matrices. Prikl. Mekh. Tekhn. Fiz. 47, 95–102. https://doi.org/10.1007/s10808-006-0047-7
Specovius-Neugebauer, M., Nazarov, S.A., 2006. Optimal estimates for the pressure stabilization method: the nonlinear problem. WSEAS Transactions on Mathematics 5, 322–328.
Nazarov, S.A., Specovius-Neugebauer, M., 2006. Application of the energy criterion of fracture for determining the shape of a slightly curved crack. Journal of Applied Mechanics and Technical Physics 714–723.
Specovius-Neugebauer, M., Nazarov, S.A., 2005. Artificial boundary conditions for Stokes and Navier-Stokes systems in layer-like domains. Доклады Академии Наук / Doklady Biological Sciences 72, 311–314.
Nazarov, S.A., Specovius-Neugebauer, M., 2005. Artificial boundary conditions for the Stokes and Navier-Stokes systems in a layer-like domain. Doklady Akademii Nauk 405, 311–314.
Nazarov, S.A., Specovius-Neugebauer, M., Videman, J., 2004. Nonlinear artificial boundary conditions for the Navier-Stokes equations in an aperture domain. Mathematical News 265, 24–67. https://doi.org/10.1002/mana.200310135
Specovius-Neugebauer, M., Nazarov, S.A., 2004. Artificial boundary conditions for Petrovsky systems of second order in exterior domains and in other domains of conical type. Mathematical Methods in the Applied Sciences 27, 1507–1544. https://doi.org/10.1002/mma.513
Specovius-Neugebauer, M., 2004. Artificial boundary conditions on polyhedral truncation surfaces for three-dimensional elasticity systems. Comptes Rendus Mécanique 332, 591–596. https://doi.org/10.1016/j.crme.2004.03.011
Specovius-Neugebauer, M., Nazarov, S.A., 2004. Optimal results for the Brezzi-Pitkäranta approximation of viscous flow problems. Differential and Integral Equations 17, 1359–1394.
Specovius-Neugebauer, M., Nazarov, S.A., 2004. Artificial boundary conditions for an exterior boundary value problem with a cylindrical inhomogeneity. Computational Mathematics and Mathematical Physics 44, 2087–2103.
Nazarov, S.A., Specovius-Neugebauer, M., 2003. Nonlinear artificial boundary conditions with pointwise error estimates for the exterior three dimensional Navier-Stokes problem. Mathematical News 252, 86–105. https://doi.org/10.1002/mana.200310039
Nazarov, S.A., Specovius-Neugebauer, M., 2003. Pressure stabilization method for steady viscous flows in a system of pipes. Journal of Mathematical Sciences 130, 4836–4851.
Specovius-Neugebauer, M., Nazarov, S.A., 2003. Artificial boundary conditions that ensure superexponential accuracy of approximation for the Neumann problem in a layer-like domain. Журнал вычислительной математики и мате... / Computational Mathematics and Mathematical Physics 43, 1475–1486. https://doi.org/10.1023/A:1024091206594
Specovius-Neugebauer, M., Nazarov, S.A., 2001. Artificial boundary conditions for elliptic systems in domains with conical outlets to infinity. Доклады Академии Наук / Doklady Biological Sciences 377, 317–320.
Nazarov, S.A., Specovius-Neugebauer, M., 2000. Artificial boundary conditions for the exterior spatial Navier - Stokes problem. C.R. Acad. Sci. Ser.2 328, 863–867.
Specovius-Neugebauer, M., 1999. Approximation of the Stokes Dirichlet problem in domains with cylindrical outlets. SIAM Journal on Mathematical Analysis 30, 645–677.
Specovius-Neugebauer, M., Nazarov, S.A., 1999. Quiet flows for Stokes and Navier-Stokes problems in domains with cylindrical outlets to infinity. Kyushu J. Math. 53, 369–394. https://doi.org/10.2206/kyushujm.53.369
Specovius-Neugebauer, M., 1998. The Stokes problem for exterior domains in homogeneous Sobolev spaces, in: Heywood, J.G. et al. (Hrsg.), Theory of the Navier-Stokes equations. World Sci. Publ., River Edge, NJ, Singapore, S. 185–205.
Specovius-Neugebauer, M., 1998. Artificial boundary conditions for two-dimensional exterior Stokes problems, in: Amann, H. (Hrsg.), Navier-Stokes equations and related nonlinear problems. Proceedings of the sixth international conference, Utrecht, S. 349–369.
Specovius-Neugebauer, M., Nazarov, S.A., 1997. Approximation of Exterior Boundary Value Problems for the Stokes System. Asymptotic Analysis 14, 223–255.
Specovius-Neugebauer, M., Nazarov, S.A., 1997. Approximation of unbounded domains by bounded domains. Boundary-value problems for the Lamé operator. St. Petersburg Mathematical Journal 8, 879–912.
Specovius-Neugebauer, M., Nazarov, S.A., 1997. Selfadjoint extensions of the Neumann Laplacian in domains with cylindrical outlets. Communications in Mathematical Physics 185, 689–707. https://doi.org/10.1007/s002200050106
Specovius-Neugebauer, M., 1996. The two-dimensional exterior Stokes problem, existence, regularity and decay properties 19, 507–528.
Specovius-Neugebauer, M., Nazarov, S.A., 1996. Approximation of exterior problems. Optimal conditions for the Laplacian. Analysis 16, 305–324.
Specovius-Neugebauer, M., 1995. Generalized solutions for the Stokes equation in exterior domains, in: Sequeira, A. (Hrsg.), Navier-Stokes equations and related nonlinear problems (Funchal, 1994). Plenum, New York, S. 53–62.
Specovius-Neugebauer, M., 1995. The weak Neumann problem and the Helmholtz decomposition of two-dimensional vector fields in weighted Lr-spaces, in: Sequeira, A. (Hrsg.), Navier-Stokes equations and related nonlinear problems. Plenum, New York, S. 105–116.
Specovius-Neugebauer, M., 1994. Weak solution of the Stokes problem in weighted Sobolev spaces. Acta Applicandae Mathematicae 37, 195–203.
Specovius-Neugebauer, M., 1990. The Helmholtz decomposition of weighted Lr-spaces. Communications in Partial Differential Equations 15, 273–288. https://doi.org/10.1080/03605309908820687
Pileckas, K., Specovius-Neugebauer, M., 1989. Solvability of a problem with free noncompact boundary for the stationary Navier-Stokes system. I. Litovskiĭ Matematicheskiĭ Sbornik 29, 532–547. https://doi.org/10.1007/BF00966633
Piletskas, K.I., Specovius-Neugebauer, M., 1989. Solvability of a problem with free noncompact boundary for the stationary Navier-Stokes system. II. Litovskiĭ Matematicheskiĭ Sbornik 29, 773–784.
Specovius-Neugebauer, M., 1986. Exterior Stokes problems and decay at infinity. Mathematical Methods in the Applied Sciences 8, 351–367. https://doi.org/10.1002/mma.1670080124
Specovius-Neugebauer, M., Varnhorn, W., 1984. Über die Hölderstetigkeit der direkten Werte der Tangentialableitungen Stokesscher Einfachschichtpotentiale. ZAMM 64, 362–364.
Specovius-Neugebauer, M., 1984. Die Stokes-Gleichung in Cantor-Räumen. ZAMM 64, 391–393.