[Preprint]
Asymmetric Domain Walls of Small Angle in Soft Ferromagnetic Films, 2014

Döring, Lukas (Corresponding author)
Ignat, Radu

[Preprint]
Energy barrier and Γ-convergence in the d-dimensional Cahn-Hilliard equation, 2014

Gelantalis, Michael
Westdickenberg, Maria Gabrielle

[Journal Article]
Chiral skyrmions in the plane
In: Proceedings of the Royal Society of London / Series A, Mathematical, physical and engineering sciences, 470 (2172), 20140394, 2014
[DOI: 10.1098/rspa.2014.0394]

Melcher, Christof (corresponding author)

[Journal Article]
An Implicit Midpoint Spectral Approximation of Nonlocal Cahn-Hilliard Equations
In: SIAM journal on numerical analysis, 52 (3), 1466-1496, 2014
[DOI: 10.1137/130940736]

Benešová, Barbora (Corresponding author)
Melcher, Christof (Corresponding author)
Süli, Endre (Corresponding author)

[Journal Article]
Invariant measure of the stochastic Allen-Cahn equation : the regime of small noise and large system size
In: Electronic journal of probability : EJP, 19, 23, 2014
[DOI: 10.1214/EJP.v19-2813]

Otto, Felix (Corresponding author)
Weber, Hendrik (Corresponding author)
Westdickenberg, Maria Gabrielle (Corresponding author)

[Journal Article]
Vortex dynamics in the presence of excess energy for the Landau-Lifshitz-Gilbert equation
In: Calculus of variations and partial differential equations, 49 (3/4), 1019-1043, 2014
[DOI: 10.1007/s00526-013-0609-5]

Kurzke, Matthias
Melcher, Christof
Moser, Roger
Spirn, Daniel (Corresponding author)

[Journal Article]
Relaxation to equilibrium in the one-dimensional Cahn-Hilliard equation
In: SIAM journal on mathematical analysis, 46 (1), 720-756, 2014
[DOI: 10.1137/130925517]

Otto, Felix (Corresponding author)
Westdickenberg, Maria Gabrielle (Corresponding author)

[Journal Article]
Young measures supported on invertible matrices
In: Applicable analysis, 93 (1), 105-123, 2014
[DOI: 10.1080/00036811.2012.760039]

Benešová, Barbora
Kružík, Martin (Corresponding author)
Patho, Gabriel

[Journal Article]
A mesoscopic thermomechanically coupled model for thin-film shape-memory alloys by dimension reduction and scale transition
In: Continuum mechanics and thermodynamics, 26 (5), 683-713, 2013
[DOI: 10.1007/s00161-013-0323-8]

Benešová, Barbora
Kružík, Martin
Pathó, Gabriel (Corresponding author)

[Contribution to a book]
Vortex Motion for the Landau-Lifshitz-Gilbert Equation with Applied Magnetic Field
In: Singular Phenomena and Scaling in Mathematical Models / Michael Griebel (Ed.), 113-132, 2013
[DOI: 10.1007/978-3-319-00786-1_6]

Kurzke, Matthias (Corresponding author)
Melcher, Christof
Moser, Roger

[Journal Article]
Randomized algorithms for statistical image analysis and site percolation on square lattices
In: Statistica Neerlandica, 67 (3), 337-353, 2013
[DOI: 10.1111/stan.12010]

Langovoy, Mikhail
Wittich, Olaf

[Journal Article]
Two-Scale Convergence for Locally Periodic Microstructures and Homogenization of Plywood Structures
In: Multiscale modeling & simulation, 11 (1), 92-117, 2013
[DOI: 10.1137/120862338]

Ptashnyk, Mariya

[Journal Article]
Landau-Lifshitz-Slonczewski Equations: Global Weak and Classical Solutions
In: SIAM journal on mathematical analysis, 45 (1), 407-429, 2013
[DOI: 10.1137/120878847]

Melcher, Christof
Ptashnyk, Mariya

[Contribution to a book, Contribution to a conference proceedings]
Importance Sampling for Determining SRAM Yield and Optimization with Statistical Constraint
In: Scientific Computing in Electrical Engineering SCEE 2010 / edited by Bastiaan Michielsen, Jean-René Poirier, 39-47, 2011
[DOI: 10.1007/978-3-642-22453-9_5]

ter Maten, E. J. W. (Corresponding author)
Wittich, Olaf
Di Bucchianico, A.
Doorn, T. S.
Beelen, T. G. J.

[Journal Article]
Global solvability of the Cauchy problem for the Landau-Lifshitz-Gilbert equation in higher dimensions
In: Indiana University mathematics journal : IUMJ, 61 (3), 1175-1200, 2012

Melcher, Christof

[Journal Article]
Root growth: homogenization in domains with time dependent partial perforations
In: Control, optimisation and calculus of variations : COCV = Contrôle, optimisation et calcul des variations, 18 (3), 856-876, 2012
[DOI: 10.1051/cocv/2011184]

Capdeboscq, Yves
Ptashnyk, Mariya

[Contribution to a book, Journal Article]
Unfolding-based corrector estimates for a reaction-diffusion system predicting concrete corrosion
In: Applicable analysis, 91 (S6), 1129-1154, 2012
[DOI: 10.1080/00036811.2011.625016]

Fatima, Tasnim
Muntean, Adrian
Ptashnyk, Mariya

[Journal Article]
A multiscale approach to curvature modulated sorting in biological membranes
In: Journal of theoretical biology, 301, 67-82, 2012
[DOI: 10.1016/j.jtbi.2012.01.039]

Mercker, M.
Ptashnyk, Mariya
Kühnle, J.
Hartmann, D.
Weiss, M.
et al.

[Journal Article]
Stability of nonconstant stationary solutions in a reaction-diffusion equation coupled to the system of ordinary differential equations
In: Communications on pure and applied analysis, 11 (1), 229-241, 2012
[DOI: 10.3934/cpaa.2012.11.229]

Golovaty, Yuriy
Marciniak-Czochra, Anna
Ptashnyk, Mariya

[Journal Article]
An energy balance climate model with hydrological cycle : 2. Stability and sensitivity to external forcing
In: Journal of geophysical research : JGR / D, Atmospheres, 96 (D9), 17181-17193, 1991
[DOI: 10.1029/91JD01477]

Jentsch, Volker

[Journal Article]
An energy balance climate model with hydrological cycle : 1. model description and sensitivity to internal parameters
In: Journal of geophysical research : JGR / D, Atmospheres, 96 (D9), 17169-17179, 1991
[DOI: 10.1029/91JD01478]

Jentsch, Volker

[Journal Article]
Two types of surface measures on trajectories in Riemannian submanifolds of Euclidean spaces
In: Doklady mathematics, 83 (1), 45-48, 2011
[DOI: 10.1134/S1064562411010121]

Smolyanov, O. G. (Corresponding author)
von Weizsäcker, Heinrich
Wittich, Olaf

[Dissertation / PhD Thesis]
Solutions for fourth order parabolic equation modeling epitaxial thin film growth, 2011

Sandjo, Albert N.

[Journal Article]
The function of 7D-cadherins: a mathematical model predicts physiological importance for water transport through simple epithelia
In: Theoretical biology and medical modelling, 8 (1), 18, 2011
[DOI: 10.1186/1742-4682-8-18]

Ahl, Mareike
Weth, Agnes
Walcher, Sebastian
Baumgartner, Werner (Corresponding author)

[Journal Article]
Vortex motion for the Landau-Lifshitz-Gilbert equation with spin-transfer torque
In: SIAM journal on mathematical analysis, 43 (3), 1099-1121, 2011
[DOI: 10.1137/100806965]

Kurzke, Matthias
Melcher, Christof

[Journal Article]
Ginzburg-Landau Vortices Driven by the Landau-Lifshitz-Gilbert Equation
In: Archive for rational mechanics and analysis, 199 (3), 843-888, 2011
[DOI: 10.1007/s00205-010-0356-0]

Kurzke, Matthias
Melcher, Christof
Moser, Roger
Spirn, Daniel

[Journal Article]
Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth
In: Mathematics of computation, 80 (273), 205-223, 2011
[DOI: 10.1090/S0025-5718-10-02365-3]

Condette, Nicolas
Melcher, Christof
Süli, Endre

[Journal Article]
Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
In: Nonlinear analysis, 72 (2), 1044-1064, 2010
[DOI: 10.1016/j.na.2009.07.045]

Winkler, Michael
Djie, Kianhwa C.

[Journal Article]
Derivation of a Macroscopic Model for Transport of Strongly Sorbed Solutes in the Soil Using Homogenization Theory
In: SIAM journal on applied mathematics, 70 (7), 2097-2118, 2010
[DOI: 10.1137/080729591]

Ptashnyk, Mariya
Roose, Tiina

[Journal Article]
Thin-film limits for Landau-Lifshitz-Gilbert equations
In: SIAM journal on mathematical analysis, 42 (1), 519-537, 2010
[DOI: 10.1137/090762646]

Melcher, Christof

[Journal Article]
Consistencies and rates of convergence of jump-penalized least squares estimators
In: The annals of statistics, 37 (1), 157-183, 2009
[DOI: 10.1214/07-AOS558]

Boysen, Leif (Corresponding author)
Kempe, Angela (Corresponding author)
Liebscher, Volkmar (Corresponding author)
Munk, Axel (Corresponding author)
Wittich, Olaf (Corresponding author)

[Journal Article]
Direct approach to L p estimates in homogenization theory
In: Annali di matematica pura ed applicata, 188 (3), 399-416, 2008
[DOI: 10.1007/s10231-008-0078-1]

Melcher, Christof
Schweizer, Ben (Corresponding author)

[Journal Article]
A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit
In: Annales de l'Institut Henri Poincaré / Probabilités et statistiques = Probabilities and statistics, 45 (2), 302-351, 2009
[DOI: 10.1214/07-AIHP200]

Grunewald, Natalie
Otto, Felix
Villani, Cedric
Westdickenberg, Maria Gabrielle

[Journal Article]
Dynamics for Ginzburg-Landau vortices under a mixed flow
In: Indiana University mathematics journal : IUMJ, 58 (6), 2597-2621, 2009
[DOI: 10.1512/iumj.2009.58.3842]

Kurzke, Matthias
Melcher, Christof
Moder, Roger
Spirn, Daniel

[Journal Article]
Simulation of genetic networks modelled by piecewise deterministic Markov processes
In: IET systems biology, 2 (3), 113-135, 2008
[DOI: 10.1049/iet-syb:20070045]

Zeiser, S. (Corresponding author)
Franz, U.
Wittich, Olaf
Liebscher, V.

[Journal Article]
Complexity penalized least squares estimators : Analytical results
In: Mathematische Nachrichten, 281 (4), 582-595, 2008
[DOI: 10.1002/mana.200510627]

Wittich, Olaf
Kempe, A.
Winkler, G. (Corresponding author)
Liebscher, V.

[Journal Article]
Analytic continuation of the change of variable formula for smooth measures
In: Doklady mathematics, 77 (2), 265-268, 2008
[DOI: 10.1134/S1064562408020269]

Smolyanov, O. G. (Corresponding author)
von Weizsäcker, Heinrich
Wittich, Olaf

[Journal Article]
Regularity in oscillatory nonlinear elliptic systems
In: Mathematische Zeitschrift, 260 (4), 813-847, 2008
[DOI: 10.1007/s00209-008-0302-0]

Kristensen, Jan
Melcher, Christof (Corresponding author)

[Contribution to a book, Contribution to a conference proceedings]
Rare events, action minimization, and sharp interface limits
In: Singularities in PDE and the calculus of variations / Stanley Alama; Lia Bronsard; Peter J. Sternberg, Eds. Workshop on Singularities in PDE and the Calculus of Variations ; (Montréal) : 2006.07.17-21, 217-231, 2008

Westdickenberg, Maria Gabrielle

[Journal Article]
Rare events in stochastic partial differential equations on large spatial domains
In: Journal of statistical physics, 131 (6), 1023-1038, 2008
[DOI: 10.1007/s10955-008-9537-8]

Vanden-Eijnden, Eric
Westdickenberg, Maria Gabrielle

[Journal Article]
Finite-time blow-up in a quasilinear system of chemotaxis
In: Nonlinearity, 21 (5), 1057-1076, 2008
[DOI: 10.1088/0951-7715/21/5/009]

Cieslak, Tomasz
Winkler, Michael

[Journal Article]
Oscillating solutions and large omega-limit sets in a degenerate parabolic equation
In: Journal of dynamics and differential equations, 20 (1), 87-113, 2008
[DOI: 10.1007/s10884-006-9061-y]

Winkler, Michael

[Journal Article]
Finite Time vs. Infinite Time Gradient Blow-up in a Degenerate Diffusion Equation
In: Indiana University mathematics journal : IUMJ, 57 (5), 2321-2354, 2008
[DOI: 10.1512/iumj.2008.57.3337]

Stinner, Christian
Winkler, Michael

[Journal Article]
Convergence to self-similar solutions for a semilinear parabolic equation
In: Discrete and continuous dynamical systems : DCDS / Series A, 21 (3), 703-716, 2008

Fila, Marek
Winkler, Michael
Yanagida, Eiji

[Journal Article]
Linear behaviour of solutions of a superlinear heat equation
In: Journal of mathematical analysis and applications, 340 (1), 401-409, 2008
[DOI: 10.1016/j.jmaa.2007.08.029]

Fila, Marek
King, John R.
Winkler, Michael
Yanagida, Eiji

[Journal Article]
Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed
In: Journal of the European Mathematical Society (JEMS), 10 (1), 105-132, 2008
[DOI: 10.4171/JEMS/105]

Fila, Marek
Winkler, Michael

[Journal Article]
Slow convergence to zero for a parabolic equation with a supercritical nonlinearity
In: Mathematische Annalen, 340 (3), 477-496, 2008
[DOI: 10.1007/s00208-007-0148-5]

Fila, Marek
Winkler, Michael
Yanagida, Eiji

[Dissertation / PhD Thesis]
Blow-up in a degenerate parabolic equation with gradient nonlinearity, 2008

Stinner, Christian

[Dissertation / PhD Thesis]
On upper bounds for waiting times for doubly nonlinear parabolic equations, 2008

Djie, Kianhwa Colin

[Contribution to a book]
Scale space consistency of piecewise constant least squares estimators : another look at the regressogram
In: Asymptotics: Particles, Processes and Inverse Problems / Eric A. Cator, Geurt Jongbloed, Cor Kraaikamp, Hendrik P. Lopuhaä, Jon A. Wellner, Editors, 65-84, 2007
[DOI: 10.1214/074921707000000274]

Boysen, Leif
Liebscher, Volkmar
Munk, Axel
Wittich, Olaf