From Particle Systems to Partial Differential Equations

1. Construction of



Jean-Christophe Mourrat, Hendrik Weber, Weijun Xu

2. Two Classes of Nonlocal Evolution Equations Related by a Shared Traveling Wave Problem
Franz Achleitner

3. On a Vlasov–Poisson Plasma with Infinite Charge and Velocities
Silvia Caprino

4. A Note on Local Well-Posedness of Generalized KdV Type Equations with Dissipative Perturbations
Xavier Carvajal, Mahendra Panthee

5. A Kinetic Approach to Steady Detonation Waves and Their Linear Stability
Filipe Carvalho

6. De Giorgi Techniques Applied to the Hölder Regularity of Solutions to Hamilton–Jacobi Equations
Chi Hin Chan, Alexis Vasseur

7. On the Motion of Chemically Reacting Fluids Through Porous Medium
Eduard Feireisl, Jiří Mikyška, Hana Petzeltová, Peter Takáč

8. Entropy Methods and Convergence to Equilibrium for Volume-Surface Reaction-Diffusion Systems
Klemens Fellner, Bao Quoc Tang

9. Equilibrium Fluctuations for the Slow Boundary Exclusion Process
Tertuliano Franco, Patrícia Gonçalves, Adriana Neumann

10. From the N-Body Schrödinger Equation to the Vlasov Equation
François Golse

11. Matrix Product Ansatz for Non-equilibrium Quantum Steady States
D. Karevski, V. Popkov, G. M. Schütz

12. Ultradistribution Spaces: Superprocesses and Nonlinear Differential Problems
R. Vilela Mendes

13. A New Mathematical Model for Environmental Monitoring and Assessment
Roberto Monaco, Ana Jacinta Soares

14. Derivation of Models for Thin Sprays from a Multiphase Boltzmann Model
Valeria Ricci

Keywords: Mathematics, Functional Analysis, Partial Differential Equations, Applications of Mathematics, Probability Theory and Stochastic Processes, Numerical and Computational Physics, Simulation, Mathematical Methods in Physics