Pflug, Lukas

1. A general result on the approximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels
   2020/12/24 by Giuseppe Maria Coclite, Coclite, Giuseppe Maria, Jean‐Michel Coron +7 · 8 citations
   Mathematics · Physics and Astronomy · #35L65 #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
2. The Continuous Stochastic Gradient Method: Part II -- Application and Numerics
   2023/03/22 by Max Grieshammer, Grieshammer, Max, Lukas Pflug +5 · 3 citations
   Biochemistry, Genetics and Molecular Biology · Computer Science · #65K05 #90C06 #90C15 #90C30 #Diffusion and Search Dynamics #FOS: Mathematics #Optimization and Control (math.OC) #Stochastic Gradient Optimization Techniques #Topological and Geometric Data Analysis
3. Conservation laws with nonlocal velocity -- the singular limit problem
   2022/10/21 by Friedrich, Jan, Göttlich, Simone, Keimer, Alexander +1 · 4 citations
   #34A36 #35L65 #35L99 #Analysis of PDEs (math.AP) #FOS: Mathematics
4. Ole\uınik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit
   2023/04/03 by Giuseppe Maria Coclite, Maria Colombo, Coclite, Giuseppe Maria +13 · 5 citations
   Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
5. On the singular limit problem for a discontinuous nonlocal conservation law
   2022/12/23 by Alexander Keimer, Keimer, Alexander, Lukas Pflug +1 · 3 citations
   Engineering · Mathematics · #34A36 #35L65 #35L99 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
6. On the singular limit problem for nonlocal conservation laws: A general approximation result for kernels with fixed support
   2023/10/13 by Alexander Keimer, Lukas Pflug, Keimer, Alexander +1 · 3 citations
   Engineering · Mathematics · #35L02 #35L03 #35L60 #35L65 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
7. The Continuous Stochastic Gradient Method: Part I -- Convergence Theory
   2022/03/14 by Max Grieshammer, Lukas Pflug, Grieshammer, Max +5 · 1 citation
   Computer Science · Engineering · #Stochastic Gradient Optimization Techniques #Sparse and Compressive Sensing Techniques #Advanced Multi-Objective Optimization Algorithms
8. Conservation laws with nonlocality in density and velocity and their applicability in traffic flow modelling
   2023/02/24 by Friedrich, Jan, Göttlich, Simone, Keimer, Alexander +1 · 1 citation
   #35L65 #35L99 #65M08 #Analysis of PDEs (math.AP) #FOS: Mathematics