Posts

Preprint: Maximal monotonicity and contraction semigroup for the quantum drift-diffusion (Derrida–Lebowitz–Speer–Spohn) equation

17 August 2026

Preprint: Formation of clusters and coarsening in weakly interacting diffusions

20 October 2025

Preprint: Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions

8 October 2025

Preprint: Existence and Non-existence for Continuous Generalized Exchange-Driven Growth model

5 September 2025

Preprint: Convergence of a stochastic particle system to the continuous generalized exchange-driven growth model

27 March 2025

Preprint: Diffusive transport on the real line: semi-contractive gradient flows and their discretization

24 January 2025

Preprint: Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits

21 December 2024

Preprint: Solutions of stationary McKean–Vlasov equation on a high-dimensional sphere and other Riemannian manifolds

19 December 2024

Preprint: Singular-limit analysis of gradient descent with noise injection

18 April 2024

Preprint: Variational convergence for an irreversible exchange-driven stochastic particle system

12 January 2024

Preprint: Piezo1-induced durotaxis of pancreatic stellate cells depends on TRPC1 and TRPV4 channels

23 December 2023

Preprint: A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport

20 December 2023

Preprint: Graph-to-local limit for the nonlocal interaction equation

6 June 2023

Preprint: Variational convergence of the Scharfetter–Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit

4 June 2023

Published: On a class of nonlocal continuity equations on graphs

18 May 2023

Published: Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients

2 May 2023

Preprint: Covariance-Modulated Optimal Transport and Gradient Flows

15 February 2023

Published: Optimal stability estimates and a new uniqueness result for advection-diffusion equations

6 December 2022

Metastability

20 October 2015

Pressure as Lagrange multiplicator in Stokes and Euler equation

8 January 2013

Weak L¹-convergence

31 October 2012

Classic results for porous medium equation

23 October 2012

Fokker Planck equation

23 October 2012