Fischer, Julian

1. The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles
   2021/09/14 by Cornalba, Federico, Fischer, Julian · 4 citations
   #35R60 #60H15 #60H35 #65N99 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR)
2. Convergence rates of the Allen-Cahn equation to mean curvature flow: A\n short proof based on relative entropies
   2020/02/27 by Julian Fischer, Fischer, Julian, Tim Laux +3 · 3 citations
   Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Meromorphic and Entire Functions #Nonlinear Partial Differential Equations
3. Quantitative convergence of the vectorial Allen-Cahn equation towards multiphase mean curvature flow
   2022/03/31 by Fischer, Julian, Marveggio, Alice · 2 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
4. The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions
   2020/03/11 by Julian Fischer, Sebastian Hensel, Fischer, Julian +5 · 2 citations
   Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Black Holes and Theoretical Physics
5. Stochastic homogenization of linear elliptic equations: Higher-order error estimates in weak norms via second-order correctors
   2016/09/06 by Bella, Peter, Fehrman, Benjamin, Fischer, Julian +1 · 1 citation
   #Analysis of PDEs (math.AP) #FOS: Mathematics
6. Weak-strong uniqueness of solutions to entropy-dissipating\n reaction-diffusion equations
   2017/03/02 by Julian Fischer, Fischer, Julian · 1 citation
   Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
7. A weak-strong uniqueness principle for the Mullins-Sekerka equation
   2024/04/03 by Julian Fischer, Fischer, Julian, Sebastian Hensel +5 · 2 citations
   Mathematics · Engineering · #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations #Numerical methods in inverse problems
8. Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion
   2021/09/24 by Klemens Fellner, Fellner, Klemens, Julian Fischer +5 · 1 citation
   Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #35D99 #35K57 (Primary) 35B40 #35Q92 (Secondary) #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth
9. Density fluctuations in weakly interacting particle systems via the Dean-Kawasaki equation
   2023/03/01 by Cornalba, Federico, Fischer, Julian, Ingmanns, Jonas +1 · 1 citation
   #35R60 #60H15 #60H35 #65N99 #82C22 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR)
10. A priori error analysis of a numerical stochastic homogenization method
    2019/12/25 by Fischer, Julian, Gallistl, Dietmar, Peterseim, Daniel · 1 citation
    #35R60 #65N12 #65N15 #65N30 #73B27 #74Q05 #FOS: Mathematics #Numerical Analysis (math.NA)
11. Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier-Stokes/Allen-Cahn System
    2023/11/06 by Abels, Helmut, Fischer, Julian, Moser, Maximilian · 1 citation
    #35Q30 #35Q35 #35R35 #76D05 #76D45 #76T06 #Analysis of PDEs (math.AP) #FOS: Mathematics
12. Multilevel Monte Carlo methods for the Dean-Kawasaki equation from Fluctuating Hydrodynamics
    2023/11/15 by Cornalba, Federico, Fischer, Julian · 1 citation
    #35R60 #60H15 #65C05 #65N06 #82C22 #82M36 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR)