Alexander Mielke
- Optimal Entropy-Transport problems and a new Hellinger–Kantorovich distance between positive measures
2017/12/14 by Matthias Liero, Alexander Mielke, Giuseppe Savaré · 28 citations
Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Point processes and geometric inequalities
- Thermoviscoelasticity in Kelvin–Voigt Rheology at Large Strains
2020/06/15 by Alexander Mielke, Tomáš Roubíček · 7 citations
Engineering · Materials Science · #Elasticity and Material Modeling #Nonlocal and gradient elasticity in micro/nano structures #Thermoelastic and Magnetoelastic Phenomena
- Geodesic convexity of the relative entropy in reversible Markov chains
2012/07/05 by Alexander Mielke · 4 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities
- Non-equilibrium steady states as saddle points and EDP-convergence for slow-fast gradient systems
2023/03/13 by Alexander Mielke, Mielke, Alexander · 4 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #Field-Flow Fractionation Techniques #Mathematical Biology Tumor Growth
- Geometric properties of cones with applications on the\n Hellinger-Kantorovich space, and a new distance on the space of probability\n measures
2017/12/05 by Vaios Laschos, Alexander Mielke, Laschos, Vaios +1 · 3 citations
Computer Science · Mathematics · #51Fxx #FOS: Mathematics #Metric Geometry (math.MG) #Morphological variations and asymmetry #Topological and Geometric Data Analysis
- On the existence of global-in-time weak solutions and scaling laws for\n Kolmogorov's two-equation model of turbulence
2018/01/06 by Alexander Mielke, Joachim Naumann, Mielke, Alexander +1 · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Gas Dynamics and Kinetic Theory
- Traveling fronts in a reaction-diffusion equation with a memory term
2021/04/26 by Alexander Mielke, Sina Reichelt, Mielke, Alexander +1 · 1 citation
Computer Science · Mathematics · Medicine · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models
- Interaction-Force Transport Gradient Flows
2024/05/27 by Egor Gladin, Gladin, Egor, Pavel Dvurechensky +5 · 1 citation
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Theoretical and Computational Physics
- Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow
2025/04/29 by Matthias Liero, Liero, Matthias, Alexander Mielke +5 · 3 citations
Physics and Astronomy · Mathematics · #Statistical Mechanics and Entropy #Gas Dynamics and Kinetic Theory #Markov Chains and Monte Carlo Methods