Results 21 to 30 of about 65,900 (146)
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
Asymptotic behavior of nonlinear diffusions [PDF]
Mathematical Research Letters, 2003 We describe the asymptotic behavior as t → ∞ of the solution of ut = ∆pu in IRN, for (2N +1)/(N +1) ≤ p < N and non-negative, integrable initial data. Optimal rates in Lq , q = 2 − 1/(p − 1) for the convergence towards a self-similar profile corresponding to a solution with Dirac distribution initial data are found.
Del Pino, M., Dolbeault, J.
openaire +2 more sources
Diffusivity determination in nonlinear diffusion
European Journal of Applied Mathematics, 1991 We are concerned with the problem of determining the diffusivity D of a diffusion process governed by the equation ut = (Dux)x', under the assumption that D depends on u. The main point consists in the observation that there exist solutions of travelling-wave type and that the dependence D = D(u) can be explicitly found in terms of the profile of such ...
Cortázar, Carmen +2 more
openaire +2 more sources
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
Strongly Nonlinear Diffusion in Turbulent Environment: A Problem with Infinitely Many Couplings
Universe, 2022 The field theoretic renormalization group is applied to the strongly nonlinear stochastic advection-diffusion equation. The turbulent advection is modelled by the Kazantsev–Kraichnan “rapid-change” ensemble. As a requirement of the renormalizability, the
Nikolay V. Antonov +2 more
doaj +1 more source
Full Reference Image Quality Assessment by Considering Intra-Block Structure and Inter-Block Texture
IEEE Access, 2020 The purpose of the image quality assessment is to evaluate image quality consistently with human's subjective evaluation. In image quality assessment, many structural features have been used to measure the quality degradation of an image.
Junfeng Yang +4 more
doaj +1 more source
Mathematics, 2022 This work provides an analytical approach to characterize and determine solutions to a porous medium system of equations with views in applications to invasive-invaded biological dynamics.
José Luis Díaz Palencia +3 more
doaj +1 more source
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2022 Background. In this research constructed a model for the radiation-stimulated growth of coherent structures based on the nonlinear diffusion of point defects in a crystalline medium. Materials and methods.
V.M. Morozov
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
Combining Linear and Nonlinear Diffusion [PDF]
Advanced Nonlinear Studies, 2004 Abstract In this paper we study a generalized porous medium equation where the diffusion rate, say m(x) -spatially heterogeneous- is assumed to be linear, m = 1, on a piece of the support domain, Ω1 and slow nonlinear, m(x) > 1, in its complement, Ωm := Ω \ Ω̄1.
Delgado Delgado, Manuel +2 more
openaire +3 more sources