Mathematical Models and Methods in Applied Sciences

Featured: Best Papers of 2019
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Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation
Marvin Fritz, Ernesto A. B. F. Lima, Vanja Nikolić, J. Tinsley Oden and Barbara Wohlmuth

Murray's law for discrete and continuum models of biological networks
Jan Haskovec, Peter Markowich and Giulia Pilli

Multilevel approximation of parametric and stochastic PDES
Jakob Zech, Dinh D?ng and Christoph Schwab

Crack problem within the context of implicitly constituted quasi-linear viscoelasticity
Hiromichi Itou, Victor A. Kovtunenko and Kumbakonam R. Rajagopal

Regularity and hp discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials
Yvon Maday and Carlo Marcati

Computational analysis methods for complex unsteady flow problems
Yuri Bazilevs, Kenji Takizawa and Tayfun E. Tezduyar

Towards a multiscale vision of active particles
N. Bellomo and F. Brezzi

Weak-strong uniqueness of renormalized solutions to reaction-cross-diffusion systems
Xiuqing Chen and Ansgar Jüngel

Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation
Georges Bastin, Jean-Michel Coron, Amaury Hayat and Peipei Shang

A node-numbering-invariant directional length scale for simplex elements
Kenji Takizawa, Yuki Ueda and Tayfun E. Tezduyar

Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
G. Albi, N. Bellomo, L. Fermo, S.-Y. Ha, J. Kim, L. Pareschi, D. Poyato and J. Soler

Emergent behaviors of the Cucker-Smale ensemble under attractive-repulsive couplings and Rayleigh frictions
Di Fang, Seung-Yeal Ha and Shi Jin