From Particle Systems to Partial Differential Equations PSPDE IV, Braga, Portugal, December 2015 /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Gonçalves, Patrícia (Editor), Soares, Ana Jacinta (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Springer Proceedings in Mathematics & Statistics, 209
• Subjects: Mathematics.; Functional analysis.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Probabilities.; Physics.; Functional Analysis.; Partial Differential Equations.; Applications of Mathematics.; Probability Theory and Stochastic Processes.; Numerical and Computational Physics, Simulation.; Mathematical Methods in Physics.

'This book addresses mathematical problems motivated by various applications in physics, engineering, chemistry and biology. It gathers the lecture notes from the mini-course presented by Jean-Christophe Mourrat on the construction of the various stochastic “basic” terms involved in the formula...

Table of Contents:

• Xavier Carvajal and Mahendra Panthee, A note on local well-posedness of generalized KdV type equations with dissipative perturbations
• Eduard Feireisl, Jiří Mikyška, Hana Petzeltová, and Peter Takáč, On the motion of chemically reacting fluids through porous medium
• Klemens Fellner and Bao Quoc Tang, Entropy methods and convergence to equilibrium for volume-surface reaction-diffusion systems
• R. Vilela Mendes, Ultradistribution spaces: Superprocesses and nonlinear differential problems
• François Golse, From the N-Body Schrödinger Equation to the Vlasov Equation
• Silvia Caprino, On a Vlasov-Poisson plasma with infinite charge and velocities
• Chi Hin Chan and Alexis Vasseur, De Giorgi techniques applied to the Hölder regularity of solutions to Hamilton-Jacobi equations
• Filipe Carvalho, A kinetic approach to steady detonation waves and their linear stability
• Roberto Monaco and Ana Jacinta Soares, A new mathematical model for environmental monitoring and assessment
• Valeria Ricci, Derivation of models for thin sprays from a multiphase Boltzmann model
• Jean-Christophe Mourrat, Hendrik Weber and Weijun Xu, Construction of F4/3 diagrams for pedestrians
• Tertuliano Franco, Patrícia Gonçalves and Adriana Neumann, Equilibrium uctuations for the slow boundary exclusion process
• Franz Achleitner, Two classes of nonlocal Evolution Equations related by a shared TravelingWave Problem
• D. Karevski, V. Popkov, G.M. Schütz, Matrix product ansatz for non-equilibrium quantum steady states.