| Publication | Date of Publication | Type |
|---|
| A novel multi-scale loss function for classification problems in machine learning | 2024-01-31 | Paper |
| Bifurcation of finger-like structures in traveling waves of epithelial tissues spreading | 2023-11-06 | Paper |
| Emergence of traveling waves and their stability in a free boundary model of cell motility | 2023-02-20 | Paper |
| Mathematics of Deep Learning | 2022-12-05 | Paper |
| Dynamics and steady state of squirmer motion in liquid crystal | 2022-06-13 | Paper |
| Stability for the training of deep neural networks and other classifiers | 2022-01-31 | Paper |
| Multiple Ginzburg–Landau vortices pinned by randomly distributed small holes | 2021-08-19 | Paper |
| Stability of Contraction-Driven Cell Motion | 2021-03-29 | Paper |
| A Kinetic Approach to Active Rods Dynamics in Confined Domains | 2020-03-31 | Paper |
| Stability for the Training of Deep Neural Networks and Other Classifiers | 2020-02-10 | Paper |
| Stability of steady states and bifurcation to traveling waves in a free boundary model of cell motility | 2019-05-09 | Paper |
| Existence of Superconducting Solutions for a Reduced Ginzburg--Landau Model in the Presence of Strong Electric Currents | 2019-03-29 | Paper |
| Continuum approximations to systems of correlated interacting particles | 2019-03-06 | Paper |
| Getting Acquainted with Homogenization and Multiscale | 2018-10-29 | Paper |
| Bifurcation of traveling waves in a Keller-Segel type free boundary model of cell motility | 2018-10-25 | Paper |
| On the convergence of formally diverging neural net-based classifiers | 2018-05-08 | Paper |
| A two scale \(\Gamma \)-convergence approach for random non-convex homogenization | 2018-01-11 | Paper |
| Sharp interface limit in a phase field model of cell motility | 2017-11-22 | Paper |
| On approximation of Ginzburg-Landau minimizers by \(\mathbb{S}^1\)-valued maps in domains with vanishingly small holes | 2017-11-16 | Paper |
| On an evolution equation in a cell motility model | 2017-10-25 | Paper |
| Phase-field model of cell motility: traveling waves and sharp interface limit | 2016-10-13 | Paper |
| Flagella bending affects macroscopic properties of bacterial suspensions | 2016-10-07 | Paper |
| Complexity Reduction in Many Particle Systems with Random Initial Data | 2016-07-22 | Paper |
| Effective rheological properties in semi-dilute bacterial suspensions | 2016-06-28 | Paper |
| Existence and stability of superconducting solutions for the Ginzburg-Landau equations in the presence of weak electric currents | 2015-08-10 | Paper |
| Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization | 2014-08-22 | Paper |
| Minimax Critical Points in Ginzburg-Landau Problems with Semi-Stiff Boundary Conditions: Existence and Bubbling | 2014-08-08 | Paper |
| A Kinetic Model for Semidilute Bacterial Suspensions | 2014-04-22 | Paper |
| On the limit \(p\to\infty\) of global minimizers for a \(p\)-Ginzburg-Landau-type energy | 2014-04-16 | Paper |
| Phase field model of cell motility: sharp interface limit in sub-critical case | 2013-10-08 | Paper |
| Homogenized description of multiple Ginzburg-Landau vortices pinned by small holes | 2013-06-07 | Paper |
| Effective viscosity of bacterial suspensions: a three-dimensional PDE model with stochastic torque | 2013-04-29 | Paper |
| Renormalized Ginzburg-Landau energy and location of near boundary vortices | 2013-03-21 | Paper |
| Boundary conditions in PDE model of collisions of swimmers | 2012-12-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2908796 | 2012-08-29 | Paper |
| Effective shear viscosity and dynamics of suspensions of micro-swimmers from small to moderate concentrations | 2012-02-14 | Paper |
| Radially symmetric minimizers for a \(p\)-Ginzburg-Landau type energy in \({\mathbb R^2}\) | 2011-11-08 | Paper |
| Flux norm approach to finite-dimensional homogenization approximations with non-separated scales and high contrast | 2011-09-27 | Paper |
| Pinning by holes of multiple vortices in homogenization for Ginzburg-Landau problems | 2011-05-22 | Paper |
| Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates | 2011-03-22 | Paper |
| MINIMIZERS OF THE MAGNETIC GINZBURG–LANDAU FUNCTIONAL IN SIMPLY CONNECTED DOMAIN WITH PRESCRIBED DEGREE ON THE BOUNDARY | 2011-03-10 | Paper |
| Solutions with vortices of a semi-stiff boundary value problem for the Ginzburg-Landau equation | 2010-11-11 | Paper |
| A model of hydrodynamic interaction between swimming bacteria | 2010-04-12 | Paper |
| Near boundary vortices in a magnetic Ginzburg-Landau model: their locations via tight energy bounds | 2010-02-24 | Paper |
| Fictitious fluid approach and anomalous blow-up of the dissipation rate in a two-dimensional model of concentrated suspensions | 2009-09-09 | Paper |
| Rise of Correlations of Transformation Strains in Random Polycrystals | 2009-07-22 | Paper |
| Global minimizers for a \(p\)-Ginzburg-Landau-type energy in \(\mathbb R^2\) | 2009-05-12 | Paper |
| Two-parameter homogenization for a Ginzburg-Landau problem in a perforated domain | 2009-03-20 | Paper |
| A network model of geometrically constrained deformations of granular materials | 2008-08-22 | Paper |
| Continuum limit for three-dimensional mass-spring networks and discrete Korn's inequality | 2007-10-29 | Paper |
| Strong and weak blow-up of the viscous dissipation rates for concentrated suspensions | 2007-06-14 | Paper |
| Ginzburg–Landau model of a liquid crystal with random inclusions | 2007-05-16 | Paper |
| Asymptotic analysis of an array of closely spaced absolutely conductive inclusions | 2007-04-13 | Paper |
| Ginzburg-Landau minimizers with prescribed degrees. capacity of the domain and emergence of vortices | 2006-11-15 | Paper |
| A network model for granular statics with impenetrability constraints | 2006-09-11 | Paper |
| Nonexistence of Ginzburg-Landau minimizers with prescribed degree on the boundary of a doubly connected domain | 2006-08-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3375843 | 2006-03-17 | Paper |
| Capacity of a multiply-connected domain and nonexistence of Ginzburg-Landau minimizers with prescribed degrees on the boundary | 2006-01-01 | Paper |
| Discrete Network Approximation for Highly-Packed Composites with Irregular Geometry in Three Dimensions | 2005-11-08 | Paper |
| Network Approximation for Effective Viscosity of Concentrated Suspensions with Complex Geometry | 2005-09-16 | Paper |
| Asymptotics of the effective conductivity of composites with closely spaced inclusions of optimal shape | 2005-06-23 | Paper |
| Increase and decrease of the effective conductivity of two-phase composites due to polydispersity | 2005-05-25 | Paper |
| Homogenization of a Ginzburg-Landau model for a nematic liquid crystal with inclusions | 2005-05-04 | Paper |
| Homogenization of a Ginzburg-Landau functional | 2005-02-22 | Paper |
| Homogenized Non-Newtonian Viscoelastic Rheology of a Suspension of Interacting Particles in a Viscous Newtonian Fluid | 2004-12-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4460930 | 2004-03-29 | Paper |
| Ginzburg--Landau minimizers with prescribed degrees: Dependence on domain. | 2003-12-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4805969 | 2003-05-08 | Paper |
| Error of the Network Approximation for Densely Packed Composites with Irregular Geometry | 2003-01-05 | Paper |
| Network approximation in the limit of small interparticle distance of the effective properties of a high-contrast random dispersed composite | 2002-08-04 | Paper |
| On uniqueness of vector-valued minimizers of the Ginzburg-Landau functional in annular domains | 2002-06-17 | Paper |
| Homogenization of harmonic maps with large number of vortices and applications in superconductivity and superfluidity. | 2002-02-04 | Paper |
| The accuracy of the O'Doherty-Anstey approximation for wave propagation in highly disordered stratified media | 2001-08-30 | Paper |
| Generalized Clausius-Mossotti formula for random composite with circular fibers. | 2001-07-02 | Paper |
| Frequency-Dependent Acoustics of Composites with Interfaces | 2000-10-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4719581 | 2000-10-08 | Paper |
| Homogenization of Harmonic Maps and Superconducting Composites | 1999-09-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4423249 | 1999-01-01 | Paper |
| The probability distribution of the percolation threshold in a large system | 1997-11-26 | Paper |
| Non-Gaussian limiting behavior of the percolation threshold in a large system | 1997-10-26 | Paper |
| Effective elastic moduli of a soft medium with hard polygonal inclusions and extremal behavior of effective Poisson's ratio | 1996-09-15 | Paper |
| Asymptotics of the homogenized moduli for the elastic chess-board composite | 1992-09-27 | Paper |
| Averaging the diffusion equation in a porous medium with weak absorption | 1992-06-25 | Paper |
| The localization problem for a random elastic continuum with dispersion | 1992-06-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3352214 | 1991-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3364414 | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3824742 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3038761 | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3218478 | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3311767 | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3315101 | 1983-01-01 | Paper |
| The asymptotic behaviour of solutions of the first boundary-value problem of elasticity theory in domains with a finely-grained boundary | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3683615 | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3685328 | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3690318 | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3889621 | 1980-01-01 | Paper |
