Fachgebiet Mathematik, Arbeitsrichtung Differentialgleichungen

Professor Dr. Etienne Emmrich

Books

7) M. Neukirchen und E. Emmrich
Hochschulgovernance Gesetzliche Grenzen und Möglichkeiten am Beispiel der Hochschule für Technik und Wirtschaft Berlin unter besonderer Berücksichtigung der Novellierung des Berliner Hochschulgesetzes
Nomos Verlagsgesellschaft, Baden-Baden, 2022

6) M. Neukirchen und E. Emmrich (Hrsg.)
Berufungen, Befangenheit und Bewerbungsverfahrensanspruch: Ein Kompendium für Berufungskommissionen, Bewerberinnen und Bewerber. Band 20 der Reihe „Schriften zum Bildungs- und Wissenschaftsrecht“
Nomos Verlagsgesellschaft, Baden-Baden, 2021

5) E. Emmrich und C. Trunk
Gut vorbereitet in die erste Mathematikklausur , 2. aktualisierte Auflage
Fachbuchverlag Leipzig im Carl Hanser Verlag, 2020

4) E. Emmrich and P. Wittbold (Eds.)
Analytical and Numerical Aspects of Partial Differential Equations: Notes of a Lecture Series
de Gruyter, Berlin, 2009

3) E. Emmrich und C. Trunk
Gut vorbereitet in die erste Mathematikklausur
Fachbuchverlag Leipzig im Carl Hanser Verlag, 2007

2) E. Emmrich
Gewöhnliche und Operator-Differentialgleichungen: Eine integrierte Einführung in Randwertprobleme und Evolutionsgleichungen für Studierende
Vieweg Verlag, Wiesbaden, 2004

1) E. Emmrich
Analysis von Zeitdiskretisierungen des inkompressiblen Navier-Stokes-Problems
Cuvillier Verlag, Göttingen, 2001
(Zugl. Diss. TU Berlin, Zusammenfassung als PDF)

Referred Journals

M. Neukirchen, E. Emmrich und H. Büggeln
DIE BERUFUNG VON PROFESSORINNEN UND PROFESSOREN. Berufungsverfahren Schritt für Schritt rechtssicher gestalten
Jahresausgabe Wissenschaftsmanagement 2022, Governance & Management
(Link to journal)

M. Neukirchen, E. Emmrich und H. Büggeln
Befangenheit im Berufungsverfahren. Ordnung der Wissenschaft 4 (2022), S. 235 - 254
(PDF)

47) E. Emmrich, 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) (PDF)

46) A. Eikmeier, E. Emmrich
On a multivalued differential equation with nonlocality in time
Vietnam Journal of Mathematics 48 (2020) 4, pp. 703-718
(link to journal) (PDF)

45) 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
(link to journal) (PDF)

44) E. Emmrich, R. Lasarzik
Existence of weak solutions to a dynamic model for smetic-A liquid crystals under undulations
IMA Journal of Applied Mathematics 84 (2019) 6, pp. 1143-1176
(link to journal) (PDF)

43) 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
(link to journal) (PDF)

42) 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
(link to journal) (PDF)

41) 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
(link to journal) (PDF)

40) 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
(link to journal) (PDF)

39) 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
(link to journal) (PDF)

38) 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
(link to journal) (PDF)

37) A. Eikmeier, E. Emmrich, and E. Schöll
Why more physics can help achieving better mathematics
International Journal of Dynamics and Control (2018) 3, pp. 973–981
(link to journal) (PDF)

36) 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
(link to journal) (PDF)

35) E. Emmrich and D. Puhst
A short note on modeling damage in peridynamics
Journal of Elasticity 123 (2016) 2, pp. 245-252
(link to journal) (PDF)

34) E. Emmrich and G. Vallet
On a nonlinear abstract Volterra equation
Journal of Integral Equations and Applications 28 (2016) 1, pp. 75-89
(link to journal) (PDF)

33) 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
(link to journal) (PDF)

32)  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
(link to journal) (PDF)

31) 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
(link to journal) (PDF)

30) 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
(link to journal) (PDF)

29) 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
(link to journal) (PDF)

28) E. Emmrich, R. W. Hoppe, R. Kornhuber
Rolf Dieter Grigorieff Applications of Functional Analysis
Computational Methods in Applied Mathematics 13 (2013) 4, pp. 411-413
(link to journal) (PDF)

27) E. Emmrich and V. Mehrmann
Operator Differential-Algebraic Equations arising in Fluid Dynamics
Computational Methods in Applied Mathematics 13 (2013) 4, pp. 443-470
(link to journal) (PDF)

26) 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
(link to journal) (PDF)

25) 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
(link to journal) (PDF)

24) 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
(link to journal) (PDF)

23) 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
(link to journal) (PDF)

22) 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
(link to journal) (PDF)

21) 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
(link to journal) (PDF)

20) 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
(link to journal) (PDF)

19) E. Emmrich and M. Thalhammer
Doubly nonlinear evolution equations of second order: Existence and fully discrete approximation
Journal of Differential Equations 251 (2011), pp. 82-118
(link to journal) (PDF)

18) E. Emmrich
Time discretisation of monotone nonlinear evolution problems by the discontinuous Galerkin method
BIT Numerical Mathematics 51 (2011) 3, pp. 581-607
(link to journal) (PDF)

17) 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
(link to journal) (PDF)

16) 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
(link to journal) (PDF)

15) E. Emmrich
Variable time-step θ-scheme for nonlinear evolution equations governed by a monotone operator
Calcolo 46 (2009) 3, pp. 187-210
(link to journal) (PDF)

14) E. Emmrich
External approximation of nonlinear operator equations
Numerical Functional Analysis and Optimization 30 (2009) 5-6, pp. 486-498
(link to journal) (preliminary version as PDF)

13) 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
(link to journal) (PDF)

12) 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
(link to journal) (PDF)

11) 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
(link to journal) (PDF)

10) 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
(link to journal) (PDF)

9) 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
(link to journal) (PDF)

8) 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
(link to journal) (PDF)

7) E. Emmrich and O. Weckner
The peridynamic equation and its spatial discretisation
Mathematical Modelling and Analysis 12 (2007) 1, pp. 17-27
(link to journal) (PDF)

6) 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
(link to journal) (PDF)

5) 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
(link to journal) (preliminary version as PDF)

4) 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
(link to journal) (PDF)

3) 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
(link to journal) (PDF)

2) 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
(link to journal) (PDF)

1) 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
(link to journal) (PDF)

Proceedings

5) 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
(link to article) (preliminary version as PDF)

4) 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. Proceedngs Fourth International Conference FDM: T&A (Lozenetz, Bulgaria, August 2006), Rousse 2007
(preliminary version as PDF)

3) 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
(link to proceedings) (preliminary version as PDF)

2) E. Emmrich and O. Weckner
The peridynamic model in non-local elasticity theory
PAMM 6 (2006) 1, pp. 155-156
(link to journal) (PDF)

1) 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
(preliminary version as PDF)

 

Preprints and submitted papers

8) E. Emmrich
A short note on piecewise constant and piecewise linear interpolation (2015)
(PDF)

7) 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, TU Berlin, August 2013
(PDF) 

6) 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, TU Berlin, May 2010
(PDF) 

5) E. Emmrich and J. Kaldasch
Mathematical analysis of the primary network effect
March 2007
(PDF)

4) 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)

3) 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)

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

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

Lecture Notes

E. Emmrich
Wirtschaftsmathematik. Skript zur gleichnamigen Lehrveranstaltung an der International Business School (IBS) Berlin, Mai 2004 
(PDF)

Theses

E. Emmrich
Analysis von Zeitdiskretisierungen des inkompressiblen Navier-Stokes-Problems
Cuvillier Verlag Göttingen, 2001
(Zugl. Diss. TU Berlin, Zusammenfassung als PDF

E. Emmrich
Hyperbolische Erhaltungsgleichungen. Aspekte der analytischen und numerischen Lösung. Diplomarbeit. TU Magdeburg, April 1993