On the Classical Limit of the Schrödinger Equation

Claude Bardos, François Golse, Peter Markowich +1

Hamiltonian Evolution of Monokinetic Measures with Rough Momentum Profile

Claude Bardos, François Golse, Peter Markowich +1

Non-Uniqueness of Weak Solutions of the Quantum-Hydrodynamic System

Peter Markowich, Jesus Sierra

Murray's law for discrete and continuum models of biological networks

Jan Haskovec, Peter Markowich, Giulia Pilli

The paper proves that Murray's law, a scaling rule for branch conductivities in biological transport networks, holds for both discrete network models and their continuum limits, in…

On the Gross-Pitaevskii equation for trapped dipolar quantum gases

Rémi Carles, Peter Markowich, Christof Sparber

Mean field games with nonlinear mobilities in pedestrian dynamics

Martin Burger, Marco Di Francesco, Peter Markowich +1

Decay to equilibrium for energy-reaction-diffusion systems

Jan Haskovec, Sabine Hittmeir, Peter Markowich +1

Well posedness and Maximum Entropy Approximation for the Dynamics of Quantitative Traits

Katarina Bodova, Jan Haskovec, Peter Markowich

On the dynamics of Bohmian measures

Peter Markowich, Thierry Paul, Christof Sparber

Stationary solutions of Keller-Segel type crowd motion and herding models: multiplicity and dynamical stability

Jean Dolbeault, Peter Markowich, Gaspard Jankowiak

Bohmian measures and their classical limit

Peter Markowich, Thierry Paul, Christof Sparber

A mesoscopic model of biological transportation networks

Martin Burger, Jan Haskovec, Peter Markowich +1

Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations

Norayr Matevosyan, Peter Markowich

An Optimal Transport Approach for the Kinetic Bohmian Equation

Wilfrid Gangbo, Jan Haskovec, Peter Markowich +1

Fundamental solutions for Schrodinger operators with general inverse square potentials

Huyuan Chen, Suad Alhomedan, Hichem Hajaiej +1

On a Boltzmann type price formation model

Martin Burger, Luis Caffarelli, Peter Markowich +1

Mathematical Analysis of a System for Biological Network Formation

Jan Haskovec, Peter Markowich, Benoit Perthame

On the XFEL Schroedinger Equation: Highly Oscillatory Magnetic Potentials and Time Averaging

Paolo Antonelli, Agisillaos Athanassoulis, Hichem Hajaiej +1

Notes on a PDE System for Biological Network Formation

Jan Haskovec, Peter Markowich, Benoit Perthame +1