Results 1 to 10 of about 2,957 (75)
Some free boundary problems involving non-local diffusion and aggregation. [PDF]
Philos Trans A Math Phys Eng Sci, 2015 We report on recent progress in the study of evolution processes involving degenerate parabolic equations what may exhibit free boundaries. The equations we have selected follow to recent trends in diffusion theory: considering anomalous diffusion with ...
Carrillo JA, Vázquez JL.
europepmc +3 more sources
Cycling chaos: its creation, persistence and loss of stability in a model of nonlinear magnetoconvection [PDF]
, 1998 We examine a model system where attractors may consist of a heteroclinic cycle between chaotic sets; this ‘cycling chaos’ manifests itself as trajectories that spend increasingly long periods lingering near chaotic invariant sets interspersed with short ...
A.M. Rucklidge +23 more
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Renormalisation of parabolic stochastic PDEs [PDF]
, 2018 We give a survey of recent result regarding scaling limits of systems from statistical mechanics, as well as the universality of the behaviour of such systems in so-called cross-over regimes.
Hairer, Martin
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Statistical Properties of Turbulence: An Overview [PDF]
, 2009 We present an introductory overview of several challenging problems in the statistical characterisation of turbulence. We provide examples from fluid turbulence in three and two dimensions, from the turbulent advection of passive scalars, turbulence in ...
A. Aharony +141 more
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Stochastic PDEs, Regularity Structures, and Interacting Particle Systems [PDF]
, 2017 These lecture notes grew out of a series of lectures given by the second named author in short courses in Toulouse, Matsumoto, and Darmstadt. The main aim is to explain some aspects of the theory of "Regularity structures" developed recently by Hairer in
Chandra, Ajay, Weber, Hendrik
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, 2004 We simulate competitive two-component growth on a one dimensional substrate of $L$ sites. One component is a Poisson-type deposition that generates Kardar-Parisi-Zhang (KPZ) correlations. The other is random deposition (RD).
A. Kolakowska +19 more
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Max-Min characterization of the mountain pass energy level for a class of variational problems
, 2009 We provide a max-min characterization of the mountain pass energy level for a family of variational problems. As a consequence we deduce the mountain pass structure of solutions to suitable PDEs, whose existence follows from classical minimization ...
Bellazzini, Jacopo, Visciglia, Nicola
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Type II critical phenomena of neutron star collapse
, 2007 We investigate spherically-symmetric, general relativistic systems of collapsing perfect fluid distributions. We consider neutron star models that are driven to collapse by the addition of an initially "in-going" velocity profile to the nominally static ...
C. Gundlach +12 more
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, 2017 High-dimensional chaotic dynamical systems can exhibit strongly transient features. These are often associated with instabilities that have finite-time duration.
Arnold V. I. +4 more
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Synchronization Landscapes in Small-World-Connected Computer Networks
, 2006 Motivated by a synchronization problem in distributed computing we studied a simple growth model on regular and small-world networks, embedded in one and two-dimensions.
A. G. Greenberg +27 more
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