Results 11 to 20 of about 1,564,798 (354)

C1–regularity for degenerate diffusion equations [PDF]

open access: yesAdvances in Mathematics, 2022
To appear in Advances in ...
Pêdra D. S. Andrade   +3 more
semanticscholar   +3 more sources

Indirect Diffusion Effect in Degenerate Reaction-Diffusion Systems [PDF]

open access: goldSIAM Journal on Mathematical Analysis, 2020
In this work we study global well-posedness and large time behaviour for a typical reaction--diffusion system, which include degenerate diffusion, and whose non-linearities arise from chemical reactions. We show that there is an {\it indirect diffusion effect}, i.e. an effective diffusion for the non-diffusive species which is incurred by a combination
Amit Einav   +2 more
openalex   +5 more sources

Parameter Inference for Degenerate Diffusion Processes [PDF]

open access: greenStochastic Processes and their Applications, 2023
We study parametric inference for ergodic diffusion processes with a degenerate diffusion matrix. Existing research focuses on a particular class of hypo-elliptic SDEs, with components split into `rough'/`smooth' and noise from rough components propagating directly onto smooth ones, but some critical model classes arising in applications have yet to be
Yuga Iguchi   +2 more
openalex   +4 more sources

A Degenerate Cross-Diffusion System as the Inviscid Limit of a Nonlocal Tissue Growth Model [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 2023
In recent years, there has been a spike in the interest in multi-phase tissue growth models. Depending on the type of tissue, the velocity is linked to the pressure through Stoke's law, Brinkman's law or Darcy's law. While each of these velocity-pressure
N. David   +3 more
semanticscholar   +1 more source

A new order from the combination of exact coupling and the Euler scheme

open access: yesAIMS Mathematics, 2022
Davie defined a Levy variant and the combination of single random variables to ensure that the diffusion matrix did not degenerate. The use of the method proposed by Davie, which is a combination of the Euler method and the exact combination, was ...
Yousef Alnafisah
doaj   +1 more source

Doubly degenerate diffuse interface models of surface diffusion [PDF]

open access: yesMathematical Methods in the Applied Sciences, 2020
We discuss two doubly degenerate Cahn–Hilliard (DDCH) models for isotropic surface diffusion. Degeneracy is introduced in both the mobility function and a restriction function associated to the chemical potential. Our computational results suggest that the restriction functions yield more accurate approximations of surface diffusion.
Salvalaglio, Marco   +2 more
openaire   +3 more sources

Drift-diffusion models for the simulation of a graphene field effect transistor

open access: yesJournal of Mathematics in Industry, 2022
A field effect transistor having the active area made of monolayer graphene is simulated by a drift-diffusion model coupled with the Poisson equation. The adopted geometry, already proposed in (Nastasi and Romano in IEEE Trans. Electron.
Giovanni Nastasi, Vittorio Romano
doaj   +1 more source

Global existence and asymptotic behavior for a nonlinear degenerate SIS model [PDF]

open access: yesOpuscula Mathematica, 2013
In this paper we investigate the global existence and asymptotic behavior of a reaction diffusion system with degenerate diffusion arising in the modeling and the spatial spread of an epidemic disease.
Tarik Ali Ziane
doaj   +1 more source

Adaptive estimation for degenerate diffusion processes

open access: yes, 2021
: We discuss parametric estimation of a degenerate diffusion system from time-discrete observations. The first component of the degenerate diffusion system has a parameter θ1 in a non-degenerate diffusion coefficient and a parameter θ2 in the drift term.
A. Gloter, N. Yoshida
semanticscholar   +1 more source

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