Fachgebiet Mathematik, Arbeitsrichtung Differentialgleichungen

Nichtlineare Evolutionsgleichungen zweiter Ordnung

E. Emmrich and D. Šiška
Nonlinear stochastic evolution equations of second order with damping
Stochastics and Partial Differential Equations: Analysis and Computations 5 (2017) 1, pp. 81-112
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E. Emmrich, D. Šiška, and Wróblewska-Kamińska
Equations of second order in time with quasilinear damping: existence in Orlicz spaces via convergence of a full discretisation
Mathematical Methods in the Applied Sciences 39 (2016) 10, pp. 2449-2460
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D. Puhst
On the evolutionary fractional p-Laplacian
Applied Mathematics Research eXpress 2015, 2, pp. 253-273
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E. Emmrich, D. Šiška, and M. Thalhammer
On a full discretisation for nonlinear second-order evolution equations with monotone damping: construction, convergence and error estimates
Foundations of Computational Mathematics 15 (2015) 6, pp. 1653-1701
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E. Emmrich and D. Šiška
Evolution equations of second order with nonconvex potential and linear damping: existence via convergence of a full discretization
Journal of Differential Equations 255 (2013) 10, pp. 3719-3746 
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E. Emmrich and D. Šiška
Full discretization of second-order nonlinear evolution equations: strong convergence and applications
Computational Methods in Applied Mathematics 11 (2011) 4, pp. 441-459
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E. Emmrich and M. Thalhammer
Doubly nonlinear evolution equations of second order: Existence and fully discrete approximation
Journal of Differential Equations 251 (2011) 1, pp. 82-118
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E. Emmrich and M. Thalhammer
Convergence of a time discretisation for doubly nonlinear evolution equations of second order
Foundations of Computational Mathematics 10 (2010) 2, pp. 171-190
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Nichtlineare Evolutionsgleichungen erster Ordnung

Nichtlineare Evolutionsgleichungen erster Ordnung

A. Eikmeier, E. Emmrich
On a multivalued differential equation with nonlocality in time
Vietnam Journal of Mathematics 48 (2020) 4, pp. 703-718
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A. Eikmeier, E. Emmrich, and H.-C. Kreusler
Nonlinear evolution equations with exponentially decaying memory: Existence via time discretisation, uniqueness, and stability
Computational Methods in Applied Mathematics 20 (2020), 1, pp. 89-108
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M. Eisenmann, E. Emmrich, and V. Mehrmann
Convergence of the backward Euler scheme for the operator-valued Riccati differential equation with semi-definite data 
Evolution Equations & Control Theory 8 (2019) 2, pp. 315-342
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A. Bacho, E. Emmrich, and A. Mielke
An existence result and evolutionary Γ-convergence for perturbed gradient systems
Journal of Evolution Equations 19 (2019) 2, pp. 479-522
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M. Eisenmann, R. Kruse, M. Kovacs, and S. Larsson
On a randomized backward Euler method for nonlinear evolution equations with time-irregular coefficients 
Foundations of Computational Mathematics (2019) 19, pp. 1387-1430
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W.-J. Beyn, E. Emmrich, and J. Rieger
Semilinear parabolic differential inclusions with one-sided Lipschitz nonlinearities
Journal of Evolution Equations 18 (2018) 3, pp. 1319–1339
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M. Eisenmann and E. Hansen
Convergence analysis of domain decomposition based time integrators for degenerate parabolic equations
Numerische Mathematik (2018) 140, pp. 913-938
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E. Emmrich and G. Vallet
On a nonlinear abstract Volterra equation
Journal of Integral Equations and Applications 28 (2016) 1, pp. 75-89
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M. Bukal, E. Emmrich, and A. Jüngel
Entropy-stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation
Numerische Mathematik 127 (2014) 2, pp. 365-396
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E. Emmrich and A. Wróblewska
Convergence of a full discretization of quasilinear parabolic equations in isotropic and anisotropic Orlicz spaces
SIAM Journal on Numerical Analysis 51 (2013) 2, pp. 1163-1184
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E. Emmrich and G. Vallet
Existence via time discretization for a class of doubly nonlinear operator-differential equations of Barenblatt-type
Journal of Differential Equations 254 (2013), pp. 2499-2514
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E. Emmrich
Time discretisation of monotone nonlinear evolution problems by the discontinuous Galerkin method
BIT Numerical Mathematics 51 (2011) 3, pp. 581-607
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E. Emmrich and M. Thalhammer
Stiffly accurate Runge-Kutta methods for nonlinear evolution problems governed by a monotone operator
Mathematics of Computation 79 (2010), pp. 785-806
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E. Emmrich
Variable time-step θ-scheme for nonlinear evolution equations governed by a monotone operator
Calcolo 46 (2009) 3, pp. 187-210 
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E. Emmrich
Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator
BIT Numerical Mathematics 49 (2009), pp. 297-323
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E. Emmrich
Two-step BDF time discretisation of nonlinear evolution problems governed by monotone operators with strongly continuous perturbations
Computational Methods in Applied Mathematics 9 (2009) 1, pp. 37-62
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E. Emmrich
Stability and error of the variable two-step BDF for semilinear parabolic problems
Journal of Applied Mathematics and Computing 19 (2005) 1-2, pp. 33-55
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E. Emmrich
Quantitative error estimates for the implicit Euler scheme for linear evolutionary problems with rough data
Preprint No. 671, Fachbereich Mathematik, TU Berlin, March 2000.
(PDF)

E. Emmrich
Discrete versions of Gronwall's lemma and their application to the numerical analysis of parabolic problems
Preprint No. 637, Fachbereich Mathematik, TU Berlin, July 1999.
(PDF)

E. Emmrich
Zeitdiskretisierung parabolischer Probleme und Fehlerabschätzungen unter verschiedenen Regularitätsannahmen
In: Preprint MBI-98-1, Universität Magdeburg, Dezember 1997.

Gleichungen aus der Elastizitätstheorie und Peridynamik

E. Emmrich and D. Puhst
A short note on modeling damage in peridynamics
Journal of Elasticity 123 (2016) 2, pp. 245–252
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E. Emmrich and D. Puhst
Survey of existence results in nonlinear peridynamics in comparison with local elastodynamics 
Computational Methods in Applied Mathematics 15 (2015) 4, pp. 483–496
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E. Emmrich and D. Puhst
Measure-valued and weak solutions to the nonlinear peridynamic model in nonlocal elastodynamics
Nonlinearity 28 (2015) 1, pp. 285–307 
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E. Emmrich and D. Puhst
Well-posedness of the peridynamic model with Lipschitz continuous pairwise force function
Communications in Mathematical Sciences 11 (2013) 4, pp. 1039–1049
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E. Emmrich, R. B. Lehoucq, and D. Puhst
Peridynamics: a nonlocal continuum theory
In: M. Griebel and M. A. Schweitzer (eds.),
Meshfree Methods for Partial Differential Equations VI,
Lecture Notes in Computational Sciences and Engineering, Vol. 89, 2013, pp. 45–65
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E. Emmrich and M. Thalhammer
A class of integro-differential equations incorporating nonlinear and nonlocal damping with applications in nonlinear elastodynamics: Existence via time discretisation
Nonlinearity 24 (2011), pp. 2523–2546
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E. Emmrich and O. Weckner
On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity
Communications in Mathematical Sciences 5 (2007) 4, pp. 851–864 
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E. Emmrich and O. Weckner
Analysis and numerical approximation of an integro-differential equation modelling non-local effects in linear elasticity
Mathematics and Mechanics of Solids 12 (2007) 4, pp. 363–384
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E. Emmrich and O. Weckner
The peridynamic equation and its spatial discretisation
Mathematical Modelling and Analysis 12 (2007) 1, pp. 17–27
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E. Emmrich and O. Weckner
The peridynamic equation of motion in non-local elasticity theory
In: C. A. Mota Soares et al. (eds.), III European Conference on Computational Mechanics. Solids, Structures and Coupled Problems in Engineering (Lisbon, June 2006), Springer, 2006 
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E. Emmrich and O. Weckner
Numerical simulation of the dynamics of a nonlocal, inhomogeneous, infinite bar 
Journal of Computational and Applied Mechanics 6 (2005) 2, pp. 311–319
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E. Emmrich and O. Weckner
The peridynamic model in non-local elasticity theory
PAMM 6 (2006) 1, pp. 155–156
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Gleichungen aus der Strömungsmechanik

A. Eikmeier
Existence of strong solutions for the Oldroyd model with multivalued right-hand side
Nonlinear Anal. 225 (2022) 113127
(link to journal) (arXiv version)

E. Emmrich and L. Geuter
Analysis of a model for the dynamics of microswimmer suspensions
Mathematical Methods in the Applied Sciences 44 (2021) 18, pp. 14041-14058
(link to journal(link to arxiv) (PDF)

E. Emmrich and R. Lasarzik 
Existence of weak solutions to a dynamic model for smectic-A liquid crystals under undulations
IMA Journal of Applied Mathematics 84 (2019) 6, pp. 1143-1176
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R. Lasarzik
Measure-valued solutions to the Ericksen–Leslie model equipped with the Oseen–Frank energy
Nonlinear Analysis 179 (2019), pp. 146-183
(link to journal) (arxiv version)

R. Lasarzik
Weak-strong uniqueness for measure-valued solutions to the Ericksen–Leslie model equipped with the Oseen–Frank free energy
Journal of Mathematical Analysis and Application 470 (2019), 1, pp. 36-90
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E. Emmrich and R. Lasarzik
Existence of weak solutions to the Ericksen–Leslie model for a general class of free energies
Mathematical Methods in the Applied Sciences 41 (2018) 16, pp. 6492-6518
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E. Emmrich, S. H. L. Klapp, and R. Lasarzik
Nonstationary models for liquid crystals: A fresh mathematical perspective
Journal of Non-Newtonian Fluid Mechanics 259 (2018), pp. 32-47
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E. Emmrich and R. Lasarzik
Weak-strong uniqueness for the general Ericksen–Leslie system in three dimensions
Discrete & Continuous Dynamical Systems 38 (2018) 9, pp. 4617-4635
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E. Emmrich and V. Mehrmann
Operator Differential-Algebraic Equations arising in Fluid Dynamics
Computational Methods in Applied Mathematics 13 (2013) 4,  pp. 443-470
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E. Emmrich and V. Mehrmann 
Analysis of operator differential-algebraic equations arising in fluid dynamics. Part II. The infinite dimensional case 
Preprint 2013-28, Institut für Mathematik, Technische Universität Berlin, August 2013, 24p.
(PDF)

E. Emmrich and D. Šiška
Full discretization of the porous medium/fast diffusion equation based on its very weak formulation
Communications in Mathematical Sciences 10 (2012) 4, pp. 1055-1080
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E. Emmrich and V. Mehrmann
Analysis of operator differential-algebraic equations arising in fluid dynamics. Part I. The finite dimensional case
Preprint 12-2010, Institut für Mathematik, Technische Universität Berlin, May 2010, 15p.
(PDF)

E. Emmrich
Convergence of a time discretization for a class of non-Newtonian fluid flow
Communications in Mathematical Sciences 6 (2008) 4, pp. 827-843
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E. Emmrich
Error of the two-step BDF for the incompressible Navier-Stokes problem
M2AN Mathematical Modelling and Numerical Analysis 38 (2004) 5, pp. 757-764
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E. Emmrich
Stability and convergence of the two-step BDF for the incompressible Navier-Stokes problem
International Journal of Nonlinear Sciences and Numerical Simulation 5 (2004) 3, pp. 199-209
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E. Emmrich
Error of the two-step BDF for the incompressible Navier-Stokes problem
ESIAM: Mathematical Modelling and Numerical Analysis, 38 (2004) 5, pp. 757-764
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E. Emmrich
Error analysis for the second order BDF discretization of the incompressible Navier-Stokes problem
In: M. Feistauer, R. Rannacher, K. Kozel (eds.), Numerical Modelling in Continuum Mechanics (Proc. of the 4th Summer Conference Prague, August 2000), pp. 98 - 106, Matfyzpress Prag 2001
(PDF)

E. Emmrich
Hydrodynamische Stabilität beim instationären Navier-Stokes-Problem
In: Preprint MBI-94-3, Universität Magdeburg, April 1994

Diskretisierungsverfahren für stationäre Probleme

E. Emmrich
External approximation of nonlinear operator equations
Numerical Functional Analysis and Optimization 30 (2009) 5-6, pp. 486-498
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E. Emmrich
Supraconvergence and supercloseness of a discretisation for elliptic third-kind boundary-value problems on polygonal domains
Computational Methods in Applied Mathematics 7 (2007) 2, pp. 135-162
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E. Emmrich and R. D. Grigorieff
Supraconvergence of a finite difference scheme for elliptic third kind boundary value problems in fractional order Sobolev spaces
Computational Methods in Applied Mathematics 6 (2006) 2, pp. 154-177
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E. Emmrich
Supraconvergence of a non-uniform discretisation for an elliptic third-kind boundary-value problem with mixed derivatives
In: I. Farago, P. Vabishchevich, L. Vulkov (eds.), Finite Difference Methods: Theory and Applications. Proceedings Fourth International Conference FDM: T&A (Lozenetz, Bulgaria, August 2006), Rousse 2007
(PDF)

Sonstiges

Sonstiges

M. Eisenmann and R. Kruse
Two quadrature rules for stochastic Itō-integrals with fractional Sobolev regularity
Communications in Mathematical Sciences, Vol. 16 (8), (2018), pp. 2125-2146.
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A. Eikmeier, E. Emmrich, and E. Schöll
Why more physics can help achieving better mathematics
International Journal of Dynamics and Control 6 (2018) 3, pp. 973–981
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E. Emmrich
A short note on piecewise constant and piecewise linear interpolation (2015)
(PDF)

E. Emmrich, R. W. Hoppe, and R. Kornhuber
Rolf Dieter Griegorieff. Applications of Functional Analysis
Computational Methods in Applied Mathematics 13 (2013) 4, 411-413
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H.-C. Kreusler and H. Yserentant
The mixed regularity of electronic wave functions in fractional order and weighted Sobolev spaces
Numerische Mathematik 121 (2012) 4, pp. 781-802
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J. Behrndt and H.-C. Kreusler
Boundary relations and generalized resolvents of symmetric operators in Krein spaces
Integral Equations and Operator Theory 59 (2007), pp. 309 - 327
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E. Emmrich and J. Kaldasch
Mathematical analysis of the primary network effect. March 2007, 14 p.
(PDF)

E. Emmrich and H. Schmitt
Numerical treatment of a class of optimal control problems arising in economics
Optimization Methods and Software 21 (2006) 5, pp. 746-766
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E. Emmrich
Wirtschaftsmathematik. Skript zur gleichnamigen Lehrveranstaltung an der International Business School (IBS) Berlin, Mai 2004.
(PDF)

Hochschulrecht

M. Neukirchen, E. Emmrich und H. Büggeln
DIE BERUFUNG VON PROFESSORINNEN UND PROFESSOREN. Berufungsverfahren Schritt für Schritt rechtssicher gestalten
Jahresausgabe Wissenschaftsmanagement 2022, Governance & Management
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M. Neukirchen, E. Emmrich und H. Büggeln
Befangenheit im Berufungsverfahren. Ordnung der Wissenschaft 4 (2022), S. 235 - 254
(PDF)