Results 1 to 10 of about 3,001 (111)
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
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
core +2 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
core +3 more sources
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
core +4 more sources
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
core +1 more source
Enhancement of field renormalization in scalar theories via functional renormalization group
, 2012 The flow equations of the Functional Renormalization Group are applied to the O(N)-symmetric scalar theory, for N=1 and N=4, in four Euclidean dimensions, d=4, to determine the effective potential and the renormalization function of the field in the ...
Dario Zappalà +2 more
core +1 more source
Solving Nonlinear Parabolic Equations by a Strongly Implicit Finite-Difference Scheme
, 2019 We discuss the numerical solution of nonlinear parabolic partial differential equations, exhibiting finite speed of propagation, via a strongly implicit finite-difference scheme with formal truncation error $\mathcal{O}\left[(\Delta x)^2 + (\Delta t)^2 ...
A Oron +71 more
core +1 more source
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
core +1 more source
Algebra properties for Sobolev spaces- Applications to semilinear PDE's on manifolds
, 2011 In this work, we aim to prove algebra properties for generalized Sobolev spaces $W^{s,p} \cap L^\infty$ on a Riemannian manifold, where $W^{s,p}$ is of Bessel-type $W^{s,p}:=(1+L)^{-s/m}(L^p)$ with an operator $L$ generating a heat semigroup satisfying ...
Badr, Nadine +2 more
core +2 more sources
Space-modulated Stability and Averaged Dynamics [PDF]
, 2015 In this brief note we give a brief overview of the comprehensive theory, recently obtained by the author jointly with Johnson, Noble and Zumbrun, that describes the nonlinear dynamics about spectrally stable periodic waves of parabolic systems and ...
Rodrigues, L. Miguel
core +3 more sources