Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction

Kramers’ formula for chemical reactions in the context of Wasserstein gradient flows

(2013) Michael Herrmann et al.   Communications in Mathematical Sciences

A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems

(2011) Alexander Mielke   NONLINEARITY

A rigorous derivation of mean-field models for diblock copolymer melts

(2010) Barbara Niethammer et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

From Diffusion to Reaction via $\Gamma$-Convergence

(2010) Mark A. Peletier et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

On the heat flow on metric measure spaces: existence, uniqueness and stability

(2009) Nicola Gigli   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

A Family of Nonlinear Fourth Order Equations of Gradient Flow Type

(2009) Daniel Matthes et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Weighted energy-dissipation functionals for gradient flows

(2009) Alexander Mielke et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

The Wasserstein Gradient Flow of the Fisher Information and the Quantum Drift-diffusion Equation

(2008) Ugo Gianazza et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Existence and stability for Fokker–Planck equations with log-concave reference measure

(2008) Luigi Ambrosio et al.   PROBABILITY THEORY AND RELATED FIELDS

The Brezis–Ekeland Principle for Doubly Nonlinear Equations

(2008) Ulisse Stefanelli   SIAM JOURNAL ON CONTROL AND OPTIMIZATION

Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak–Keller–Segel Model

(2008) Adrien Blanchet et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS