Chapter 1: Helmut Abels, Johannes Daube, Christiane Kraus and Dietmar Kröner: The Sharp-Interface Limit for the Navier-Stokes-Korteweg Equations
Chapter 2: E. Abreu, A. Bustos and W. J. Lambert: Asymptotic behavior of a solution of relaxation system for flow in porous media
Chapter 3: Angelo Alessandri, Patrizia Bagnerini, Roberto Cianci, Mauro Gaggeroi: Optimal control of level sets generated by the normal flow equation
Chapter 4: Debora Amadori and Jinyeong Park: Emergent dynamics for the kinetic Kuramoto equation
Chapter 5: Matthieu Ancellin, Laurent Brosset and Jean-Michel Ghidaglia: A hyperbolic model of non-equilibrium phase change at a sharp liquid-vapor interface
Chapter 6: Paolo Antonelli, Michele D'Amico and Pierangelo Marcati: The Cauchy problem for the Maxwell-Schrodinger system with a power-type nonlinearity
Chapter 7: Denise Aregba-Driollet and Stephane Brull: Construction and approximation of the polyatomic bitemperature Euler system
Chapter 8: K. R. Arun, A. J. Das Gupta and S. Samantaray; An implicit-explicit scheme accurate at low Mach numbers for the wave equation system
Chapter 9: Joshua Ballew: Bose-Einstein Condensation and Global Dynamics of Solutions to a Hyperbolic Kompaneets Equation
Chapter 10: Andrea Barth and Ilja Kroker: Finite volume methods for hyperbolic partial differential equations with spatial noise
Chapter 11: Hubert Baty and Hiroaki Nishikawa: A hyperbolic approach for dissipative magnetohydrodynamics
Chapter 12: Jonas Berberich, Praveen Chandrashekar, Christian Klingenberg: A general well-balanced finite volume scheme for Euler equations with gravity
Chapter 13: Christophe Berthon, Raphal Loubre and Victor Michel-Dansac: A second-order well-balanced scheme for the shallow-water equations with topography
Chapter 14: Stefano Bianchini and Elio Marconi: A Lagrangian approach to scalar conservation laws
Chapter 15: Paolo Bonicatto: On uniqueness of weak solutions to transport equation with non-smooth velocity field
Chapter 16: Sebastien Boyaval: Johnson-Segalman - Saint-Venant equations for a 1D viscoelastic shallow flow in pure elastic limit
Chapter 17: Michael D. Bragin and Boris V. Rogov: On the Exact Dimensional Splitting for a Scalar Quasilinear Hyperbolic Conservation Law
Chapter 18: Yann Brenier: On the derivation of the Newtonian gravitation from the Brownian agrigation of a regular lattice
Chapter 19: Alberto Bressan: Traffic flow models on a network of roads
Chapter 20: A. Brunk, N. Kolbe, and N. Sfakianakis: Chemotaxis and haptotaxis on cellular level
Chapter 21: Pawel Buchmuller, Jurgen Dreher and Christiane Helzel: Improved accuracy of high-order WENO finite volume methods on Cartesian grids with adaptive mesh refinement
Chapter 22: Pablo Castaneda: Explicit construction of effective flux functions for Riemann solutions
Chapter 23: Pierre Castelli, Pierre-Emmanuel Jabin, Stephane Junca: Fractional spaces and conservation laws
Chapter 24: Manuel J. Castro, José M. Gallardo and Antonio Marquina: Jacobian-free incomplete Riemann solvers
Chapter 25: Christophe Chalons, Jim Magiera, Christian Rohde and Maria Wiebe: A Finite-Volume Tracking Scheme for Two-Phase Compressible Flow
Chapter 26: Praveen Chandrashekar and Jayesh Badwaik: A
About the Author:
Christian Klingenberg is a professor in the Department of Mathematics at Wuerzburg University, Germany.
Michael Westdickenberg is a professor at the Institute for Mathematics at RWTH Aachen University, Germany.
