Julian Fischer

1. 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
2. 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
3. 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
4. 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
5. 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
6. Multilevel Monte Carlo methods for the Dean-Kawasaki equation from Fluctuating Hydrodynamics
   2023/11/15 by Federico Cornalba, Julian Fischer, Cornalba, Federico +1 · 1 citation
   Mathematics · Physics and Astronomy · #35R60 #60H15 #65C05 #65N06 #82C22 #82M36 #Analysis of PDEs (math.AP) #FOS: Mathematics #High-Energy Particle Collisions Research #Numerical Analysis (math.NA) #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics