Julian Fischer

Available identifiers

zbMath Open fischer.julianWikidataQ102989913 ScholiaQ102989913MaRDI QIDQ327758

List of research outcomes

Publication	Date of Publication	Type
Multilevel Monte Carlo methods for the Dean-Kawasaki equation from Fluctuating Hydrodynamics	2023-11-15	Paper
Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier-Stokes/Allen-Cahn System	2023-11-06	Paper
The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles	2023-08-16	Paper
Global renormalised solutions and equilibration of reaction-diffusion systems with nonlinear diffusion	2023-07-14	Paper
https://portal.mardi4nfdi.de/entity/Q6157949	2023-05-12	Paper
Density fluctuations in weakly interacting particle systems via the Dean-Kawasaki equation	2023-03-01	Paper
Local minimizers of the interface length functional based on a concept of local paired calibrations	2022-12-22	Paper
Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation	2022-06-27	Paper
Scaling limit of the homogenization commutator for Gaussian coefficient fields	2022-05-06	Paper
Quantitative convergence of the vectorial Allen-Cahn equation towards multiphase mean curvature flow	2022-03-31	Paper
A monotonicity formula for minimizers of the Mumford-Shah functional in 2d and a sharp lower bound on the energy density	2022-03-24	Paper
Global Existence Analysis of Energy-Reaction-Diffusion Systems	2022-01-07	Paper
Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems	2021-08-27	Paper
A Priori Error Analysis of a Numerical Stochastic Homogenization Method	2021-03-19	Paper
The Waiting Time Phenomenon in Spatially Discretized Porous Medium and Thin Film Equations	2021-01-28	Paper
Convergence Rates of the Allen--Cahn Equation to Mean Curvature Flow: A Short Proof Based on Relative Entropies	2020-12-29	Paper
Variance reduction for effective energies of random lattices in the Thomas–Fermi–von Weizsäcker model	2020-11-26	Paper
The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions	2020-03-11	Paper
Weak-strong uniqueness for the Navier-Stokes equation for two fluids with surface tension	2020-03-09	Paper
A priori error analysis of a numerical stochastic homogenization method	2019-12-25	Paper
The choice of representative volumes in the approximation of effective properties of random materials	2019-09-05	Paper
Quantitative normal approximation for sums of random variables with multilevel local dependence structure	2019-05-24	Paper
Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with \(L^{p}\) data and applications to nonlinear elasticity	2018-11-06	Paper
Well-posedness for mean-field evolutions arising in superconductivity	2018-06-20	Paper
Existence of Positive Solutions to Stochastic Thin-Film Equations	2018-02-02	Paper
Stochastic Homogenization of Linear Elliptic Equations: Higher-Order Error Estimates in Weak Norms Via Second-Order Correctors	2017-11-27	Paper
Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations	2017-08-11	Paper
Weak-strong uniqueness of solutions to entropy-dissipating reaction-diffusion equations	2017-06-30	Paper
Liouville Principles and a Large-Scale Regularity Theory for Random Elliptic Operators on the Half-Space	2017-01-19	Paper
A higher-order large-scale regularity theory for random elliptic operators	2016-11-17	Paper
Behaviour of free boundaries in thin-film flow: the regime of strong slippage and the regime of very weak slippage	2016-10-19	Paper
Analysis of a Modified Second-Order Mixed Hybrid $BDM_1$ Finite Element Method for Transport Problems in Divergence Form	2016-08-16	Paper
A Posteriori Modeling Error Estimates for the Assumption of Perfect Incompressibility in the Navier--Stokes Equation	2015-10-13	Paper
Global existence of renormalized solutions to entropy-dissipating reaction-diffusion systems	2015-09-15	Paper
Estimates on front propagation for nonlinear higher-order parabolic equations: an algorithmic approach	2015-08-06	Paper
Optimal lower bounds on asymptotic support propagation rates for the thin-film equation	2015-06-17	Paper
Finite Speed of Propagation and Waiting Times for the Stochastic Porous Medium Equation: A Unifying Approach	2015-05-26	Paper
Infinite speed of support propagation for the Derrida-Lebowitz-Speer-Spohn equation and quantum drift-diffusion models	2014-10-17	Paper
Bi-Sobolev Solutions to the Prescribed Jacobian Inequality in the Plane with $L^p$ Data	2014-08-07	Paper
Upper bounds on waiting times for the thin-film equation: the case of weak slippage	2014-06-12	Paper
Uniqueness of Solutions of the Derrida-Lebowitz-Speer-Spohn Equation and Quantum Drift-Diffusion Models	2014-02-11	Paper
Advection-Driven Support Shrinking in a Chemotaxis Model with Degenerate Mobility	2013-08-22	Paper

Research outcomes over time

Doctoral students

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