Results 21 to 30 of about 2,288,990 (250)
Improved Interpolation Inequalities and Stability
Advanced Nonlinear Studies, 2020 For exponents in the subcritical range, we revisit some optimal interpolation inequalities on the sphere with carré du champ methods and use the remainder terms to produce improved inequalities.
Dolbeault Jean, Esteban Maria J.
doaj +1 more source
Global existence and boundedness in a two-species chemotaxis system with nonlinear diffusion
Open Mathematics, 2021 This paper is concerned with a chemotaxis system ut=Δum−∇⋅(χ1(w)u∇w)+μ1u(1−u−a1v),x∈Ω,t>0,vt=Δvn−∇⋅(χ2(w)v∇w)+μ2v(1−a2u−v),x∈Ω,t>0,wt=Δw−(αu+βv)w,x∈Ω,t>0,\left\{\begin{array}{ll}{u}_{t}=\Delta {u}^{m}-\nabla \cdot \left({\chi }_{1}\left(w)u\nabla w)+{\mu
Huang Ting, Hou Zhibo, Han Yongjie
doaj +1 more source
A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion [PDF]
, 2011 An epidemic model is formulated by a reaction–diffusion system where the spatial pattern formation is driven by cross-diffusion. The reaction terms describe the local dynamics of susceptible and infected species, whereas the diffusion terms account for ...
Stefan Berres +3 more
core +1 more source
Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion [PDF]
, 2013 We derive a two-scale homogenization limit for reaction-diffusion systems where for some species the diffusion length is of order 1 whereas for the other species the diffusion length is of the order of the periodic microstructure.
Alexander Mielke +5 more
core +1 more source
Error estimates for nonlinear reaction-diffusion systems involving different diffusion length scales [PDF]
, 2016 We derive quantitative error estimates for coupled reaction-diffusion systems, whose coefficient functions are quasi-periodically oscillating modeling the microstructure of the underlying macroscopic domain.
Reichelt, Sina
core +1 more source
Diffusion in Metals and Intermetallics: An Overview [PDF]
, 2022 After a few remarks about the history of diffusion in solids we remind the reader to some basics of diffusion such as tracer diffusion, interdiffusion, high-diffusivity paths, and basic diffusion mechanism in solids.
Mehrer, Helmut
core +1 more source
Conservation laws and exact solutions for nonlinear diffusion in anisotropic media [PDF]
, 2013 Conservation laws and exact solutions of nonlinear differential equations describing diffusion phenomena in anisotropic media with external sources are constructed. The construction is based on the method of nonlinear self-adjointness.
Ibragimov, Nail +4 more
core +1 more source
Entropy Production in a Fractal System with Diffusive Dynamics
Entropy, 2023 We study the entropy production in a fractal system composed of two subsystems, each of which is subjected to an external force. This is achieved by using the H-theorem on the nonlinear Fokker–Planck equations (NFEs) characterizing the diffusing dynamics
Rafael S. Zola +3 more
doaj +1 more source
Molecular Oncology, EarlyView.Circulating microRNA profiles distinguish nonmalignant Lynch syndrome from cancer‐associated Lynch syndrome, sporadic colorectal cancer, and healthy controls. Age‐stratified analysis reveals disease‐specific regulatory states, and a six‐miRNA panel shows concordant separation in an independent colorectal tissue cohort.
Ramadhani Salum Chambuso +5 more
wiley +1 more source
Directed evolution of enzymes at the crossroads of tradition and innovation
FEBS Open Bio, EarlyView.An iterative cycle of data‐driven enzyme optimization comprising four stages: genetic diversification of a template enzyme, expression of protein variants, high‐throughput evaluation, and machine‐learning‐guided redesign of the next variant library.
Maria Tomkova +2 more
wiley +1 more source