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Entire Solutions for Bistable Lattice Differential Equations with Obstacles
The authors consider scalar lattice differential equations posed on square lattices in two space dimensions. Under certain natural conditions they show that wave-like solutions exist when obstacles (characterized by “holes”) are present in the lattice. Their work generalizes to the discrete spatial setting the results obtained in Berestycki, Hamel, and Matuno (2009) for the propagation of waves around obstacles in continuous spatial domains. The analysis hinges upon the development of sub and super-solutions for a class of discrete bistable reaction-diffusion problems and on a generalization of a classical result due to Aronson and Weinberger that concerns the spreading of localized disturbances.
Navigating History: Economy, Society, Knowledge, and Nature
In Navigating History: Economy, Society, Knowledge, and Nature the contributors present new research that touches on the core themes developed in Karel Davids’s work. The book reflects Davids’s omnivorous character as a scholar. Nevertheless, there are common strands that run throughout the introduction and fourteen chapters gathered here. Major themes include resources of knowledge, cultures of learning, and humans and their natural environment. Together, these fourteen essays provide a fascinating panorama of social, economic, and environmental history of the past millennium. The book seeks to bring back the different levels of geographical scope, fusing the local, the national and the global. Contributors are: Ulbe Bosma, Pepijn Brandon, Jaap Bruijn, Petra van Dam, Victor Enthoven, Sabine Go, Marjolein ’t Hart, Raoul De Kerf, Jan Lucassen, Karin Lurvink, Joel Mokyr, Marijn Molema, Bert de Munck, Pál Nyiri, Harm Pieters, Matthias van Rossum, Joost Schokkenbroek, Jeroen Touwen, Wybren Verstegen, and Jan Luiten van Zanden.
2018-01-25
2018-01-25
