[PDF] Top 20 Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods
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Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods
... part of the study. In Part I, self-similar solutions of a weighted fast diffusion equation (WFD) were related to opti- mal functions in a family of subcritical ... Voir le document complet
31
Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods
... part of the study. In Part I, self-similar solutions of a weighted fast diffusion equation (WFD) were related to opti- mal functions in a family of subcritical ... Voir le document complet
32
Weighted fast diffusion equations (Part I): Sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities
... condition by proving the lin- ear instability of the radial optimal functions for ...breaking in (CKN) also has consequences on entropy – entropy production inequalities and on the ... Voir le document complet
28
Weighted fast diffusion equations (Part I): Sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities
... condition by proving the lin- ear instability of the radial optimal functions for ...breaking in (CKN) also has consequences on entropy – entropy production inequalities and on the ... Voir le document complet
27
Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities
... variety of possible behaviours and many results have been achieved, such as the ones described in [5] for data which decay strongly as |x| → ...interested in solutions converging towards Baren- blatt ... Voir le document complet
7
Fast diffusion equations: matching large time asymptotics by relative entropy methods
... issue of large time asymptotics. We can for instance quote [25] for a study (in the porous media case) of the time evolution of the second moment, and [10, 18, 21, 9] for the search of ... Voir le document complet
20
Rates of convergence for robust geometric inference
... geometry of its sublevel ...sets of d P ,m,2 ˜ provide a topologically correct approximation of the support of P ...introduction of DTM has motivated further works and applications ... Voir le document complet
38
Rates of convergence for robust geometric inference
... used in the field of Topological Data Analysis for inferring geometric and topological features from point ...clouds. In this context, the distance to a probability measure (DTM) has been introduced ... Voir le document complet
37
Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations
... given by the particular form ( 38 ) in the case of ...difficulty in allowing for more general b (with B still constant) is not in the entropy- entropy dissipation ... Voir le document complet
36
Convergence rates for series estimators
... convergence rates for power series and regression spline estimators of projections on the. set & described in equation (2.3)[r] ... Voir le document complet
54
Asymptotic wave methods in heterogeneous media
... The recorded seismic wavefield depends generally on three main mechanisms: (1) the wave generation (the source of energy), (2) the propagation through the complex me[r] ... Voir le document complet
260
A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations
... The diffusion equation can model different physical phenomena, for instance Darcy’s law, Fick’s law or the neutron ...used in the nuclear industry, the multigroup neutron diffusion equation plays a ... Voir le document complet
38
On the Convergence Rates of Proximal Splitting Algorithms
... provide rates for several proximal splitting algo- rithms, from which an easily verifiable termination criterion for finding an approximate solution will be ...proofs of the results can be found in ... Voir le document complet
5
Generic uniqueness of expanders with vanishing relative entropy
... a relative entropy for two self-similarly expand- ing solutions to mean curvature flow of hypersurfaces, asymptotic to the same cone at ...work of White [11] and using re- cent results ... Voir le document complet
32
Asymptotic spreading for Fisher-KPP reaction-diffusion equations with heterogeneous shifting diffusivity
... used in ecology and population dynamics to model spatial propagation phenomena [ 1 ...]. In this context, the unknown function u denotes the density of some species, and the parameter α stands for ... Voir le document complet
35
Schwarz Waveform Relaxation Methods for Systems of Semi-Linear Reaction-Diffusion Equations
... relaxation methods are domain decomposition methods for evolution problems, which were invented independently in [1, 6], and [7], where the latter paper only appeared several years later in ... Voir le document complet
9
Convergence of a nonlinear entropy diminishing Control Volume Finite Element scheme for solving anisotropic degenerate parabolic equations
... Abstract. In this paper, we propose and analyze a Control Volume Finite El- ements (CVFE) scheme for solving possibly degenerated parabolic ...introduction of the so-called Kirchhoff trans- form in ... Voir le document complet
29
Relative controllability of linear difference equations
... the relative controllability of linear difference equations with multiple delays in the state by using a suitable formula for the solutions of such systems in terms ... Voir le document complet
22
Asymptotic properties of entropy solutions to fractal Burgers equation
... shown by Karch, Miao & Xu (SIAM ...asymptotics of solutions is described by rarefaction waves. The goal of this paper is to show that the asymptotic profile of solutions ... Voir le document complet
31
Stability and convergence of a finite volume method for two systems of reaction-diffusion equations in electro-cardiology
... models of the heart based on these equations (mono or bidomain, 2 or more ionic currents) currently are very popular in numerical ...scales in the reaction terms, the solutions exhibit ... Voir le document complet
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