| Publication | Date of Publication | Type |
|---|
| Discretizing advection equations with rough velocity fields on non-Cartesian grids | 2024-03-05 | Paper |
| A novel multi-scale loss function for classification problems in machine learning | 2024-01-31 | Paper |
| Mean field limit and quantitative estimates with singular attractive kernels | 2024-01-05 | Paper |
| Collective motion driven by nutrient consumption | 2023-09-14 | Paper |
| The mean-field Limit of sparse networks of integrate and fire neurons | 2023-09-07 | Paper |
| H\"older and Sobolev regularity of optimal transportation potentials with rough measures | 2023-08-21 | Paper |
| Global existence of weak solutions for compresssible Navier-Stokes-Fourier equations with the truncated virial pressure law | 2023-08-04 | Paper |
| Entropy dissipation and propagation of chaos for the uniform reshuffling model | 2023-07-24 | Paper |
| Selection-mutation dynamics with spatial dependence | 2023-07-11 | Paper |
| Mathematics of Deep Learning | 2022-12-05 | Paper |
| Commutator method for averaging lemmas | 2022-11-11 | Paper |
| From interacting agents to Boltzmann-Gibbs distribution of money | 2022-08-10 | Paper |
| Modulated free energy and mean field limit | 2022-04-25 | Paper |
| A new commutator method for averaging lemmas | 2022-04-25 | Paper |
| A new approach to the mean-field limit of Vlasov-Fokker-Planck equations | 2022-03-29 | Paper |
| Stability for the training of deep neural networks and other classifiers | 2022-01-31 | Paper |
| Mean-field limit of non-exchangeable systems | 2021-12-31 | Paper |
| Compressible Navier–Stokes equations with heterogeneous pressure laws | 2021-06-28 | Paper |
| Local regularity result for an optimal transportation problem with rough measures in the plane | 2021-04-23 | Paper |
| Memory-driven movement model for periodic migrations | 2021-02-11 | Paper |
| QUANTITATIVE ESTIMATES FOR ADVECTIVE EQUATION WITH DEGENERATE ANELASTIC CONSTRAINT | 2020-09-22 | Paper |
| Global weak solutions to the relativistic BGK equation | 2020-04-09 | 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 |
| Time-asymptotic convergence rates towards discrete steady states of a nonlocal selection-mutation model | 2019-12-03 | Paper |
| On mean-field limits and quantitative estimates with a large class of singular kernels: application to the Patlak-Keller-Segel model | 2019-10-30 | Paper |
| Convergence of numerical approximations to non-linear continuity equations with rough force fields | 2019-09-05 | Paper |
| Quantitative regularity estimates for compressible transport equations | 2019-07-18 | Paper |
| Continuum approximations to systems of correlated interacting particles | 2019-03-06 | Paper |
| Fractional spaces and conservation laws | 2019-01-23 | Paper |
| Quantitative estimates of propagation of chaos for stochastic systems with \(W^{-1,\infty}\) kernels | 2018-10-16 | Paper |
| Global existence of weak solutions for compressible Navier-Stokes equations: thermodynamically unstable pressure and anisotropic viscous stress tensor | 2018-08-21 | Paper |
| Strong solutions to stochastic differential equations with rough coefficients | 2018-06-26 | Paper |
| On the convergence of formally diverging neural net-based classifiers | 2018-05-08 | Paper |
| Cellulose biodegradation models; an example of cooperative interactions in structured populations | 2018-02-02 | Paper |
| On a non-local selection–mutation model with a gradient flow structure | 2017-12-13 | Paper |
| Global Weak Solutions of PDEs for Compressible Media: A Compactness Criterion to Cover New Physical Situations | 2017-07-14 | Paper |
| Hydrodynamic limit of granular gases to pressureless Euler in dimension 1 | 2016-11-16 | Paper |
| Mean field limit and propagation of chaos for Vlasov systems with bounded forces | 2016-10-21 | Paper |
| Complexity Reduction in Many Particle Systems with Random Initial Data | 2016-07-22 | Paper |
| Critical non-Sobolev regularity for continuity equations with rough velocity fields | 2016-02-08 | Paper |
| Particle approximation of Vlasov equations with singular forces: Propagation of chaos | 2015-10-30 | Paper |
| A Continuous Model For Ratings | 2015-07-21 | Paper |
| Diperna-Lions flow for relativistic particles in an electromagnetic field | 2015-07-20 | Paper |
| Time-asymptotic convergence rates towards the discrete evolutionary stable distribution | 2015-06-08 | Paper |
| A review of the mean field limits for Vlasov equations | 2015-06-05 | Paper |
| Convergence rate for the method of moments with linear closure relations | 2015-02-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2939563 | 2015-01-22 | Paper |
| Clustering and asymptotic behavior in opinion formation | 2014-10-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5494640 | 2014-07-28 | Paper |
| Adaptation in a stochastic multi-resources chemostat model | 2014-05-28 | Paper |
| Local Existence of Analytical Solutions to an Incompressible Lagrangian Stochastic Model in a Periodic Domain | 2013-10-24 | Paper |
| Small populations corrections for selection-mutation models | 2013-03-21 | Paper |
| Compactness for nonlinear continuity equations | 2013-01-18 | Paper |
| On selection dynamics for competitive interactions | 2012-02-09 | Paper |
| The evolutionary limit for models of populations interacting competitively via several resources | 2011-06-06 | Paper |
| Large time asymptotics for a modified coagulation model | 2011-03-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3074322 | 2011-02-08 | Paper |
| A Coupled Boltzmann and Navier–Stokes Fragmentation Model Induced by a Fluid-Particle-Spring Interaction | 2011-01-21 | Paper |
| Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems | 2011-01-12 | Paper |
| Differential equations with singular fields | 2011-01-07 | Paper |
| Well Posedness in any Dimension for Hamiltonian Flows with NonBVForce Terms | 2010-07-20 | Paper |
| Convergence to equilibrium in competitive Lotka-Volterra equations | 2010-06-28 | Paper |
| A mathematical model of immune competition related to cancer dynamics | 2010-04-21 | Paper |
| Stability of trajectories for N -particles dynamics with singular potential | 2010-04-13 | Paper |
| Kinetic Decomposition for Periodic Homogenization Problems | 2010-03-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3404194 | 2010-02-08 | Paper |
| A CONTINUOUS SIZE-STRUCTURED RED CORAL GROWTH MODEL | 2009-01-28 | Paper |
| On selection dynamics for continuous structured populations | 2008-11-27 | Paper |
| Free transport limit for \(N\)-particles dynamics with singular and short range potential | 2008-08-20 | Paper |
| THE SET OF CONCENTRATION FOR SOME HYPERBOLIC MODELS OF CHEMOTAXIS | 2007-06-28 | Paper |
| \(N\)-particles approximation of the Vlasov equations with singular potential | 2007-03-28 | Paper |
| A KINETIC DESCRIPTION OF PARTICLE FRAGMENTATION | 2006-08-21 | Paper |
| Mathematical models of therapeutical actions related to tumour and immune system competition | 2006-01-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5696728 | 2005-10-19 | Paper |
| Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime. | 2005-09-29 | Paper |
| The dynamics of adaptation: An illuminating example and a Hamilton--Jacobi approach | 2005-09-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5465397 | 2005-08-22 | Paper |
| Global Stability of Steady Solutions for a Model in Virus Dynamics | 2005-08-09 | Paper |
| A real space method for averaging lemmas | 2005-05-04 | Paper |
| Identification of the dilute regime in particle sedimentation | 2005-03-02 | Paper |
| QUALITATIVE ANALYSIS OF A MEAN FIELD MODEL OF TUMOR-IMMUNE SYSTEM COMPETITION | 2004-08-06 | Paper |
| Averaging lemmas and the X-ray transform | 2003-12-09 | Paper |
| Regularity in kinetic formulations via averaging lemmas | 2003-08-19 | Paper |
| On the rate of convergence to equilibrium in the Becker--Döring equations. | 2003-07-30 | Paper |
| VARIOUS LEVELS OF MODELS FOR AEROSOLS | 2003-03-16 | Paper |
| Compactness in Ginzburg-Landau energy by kinetic averaging | 2003-01-28 | Paper |
| Regularity and propagation of moments in some nonlinear Vlasov systems | 2002-05-05 | Paper |
| The Vlasov-Poisson system with infinite mass and energy. | 2001-11-19 | Paper |
| Macroscopic limit of Vlasov type equations with friction | 2001-07-22 | Paper |
| Large time concentrations for solutions to kinetic equations with energy dissipation | 2001-07-22 | Paper |
| Compacité par lemmes de moyenne cinétiques pour des énergies de Ginzburg–Landau | 2000-12-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4495665 | 2000-08-10 | Paper |
