Results 11 to 20 of about 11,024 (266)
Saturated Fronts in Crowds Dynamics
Advanced Nonlinear Studies, 2021 We consider a degenerate scalar parabolic equation, in one spatial dimension, of flux-saturated type. The equation also contains a convective term. We study the existence and regularity of traveling-wave solutions; in particular we show that they can be ...
Campos Juan +2 more
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Traveling Waves in Degenerate Diffusion Equations
Communications in Mathematical Research, 2023 Summary: In this survey, we present a literature review on the study of traveling waves in degenerate diffusion equations by illustrating the interesting and singular wave behavior caused by degeneracy. The main results on wave existence and stability are presented for the typical degenerate equations, including porous medium equations, flux limited ...
Xu, Tianyuan, Yin, Jingxue
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Demonstratio Mathematica, 2021 In this work, we develop and analyze an explicit finite volume scheme for a one-dimensional nonlinear, degenerate, convection–diffusion equation having application in petroleum reservoir.
Mostefai Mohamed Lamine +2 more
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Bulletin of Mathematical Sciences, 2023 A no-flux initial-boundary value problem for the cross-diffusion system ut = Δ(uϕ(v)),vt = Δv − uv is considered in smoothly bounded domains [Formula: see text] with [Formula: see text].
Michael Winkler
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Doubly degenerate diffuse interface models of anisotropic surface diffusion [PDF]
Mathematical Methods in the Applied Sciences, 2020 We extend the doubly degenerate Cahn–Hilliard (DDCH) models for isotropic surface diffusion, which yield more accurate approximations than classical degenerate Cahn–Hilliard (DCH) models, to the anisotropic case. We consider both weak and strong anisotropies and demonstrate the capabilities of the approach for these cases numerically.
Salvalaglio, Marco +3 more
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Advanced Nonlinear Studies, 2022 The chemotaxis–Stokes system nt+u⋅∇n=∇⋅(D(n)∇n)−∇⋅(nS(x,n,c)⋅∇c),ct+u⋅∇c=Δc−nc,ut=Δu+∇P+n∇Φ,∇⋅u=0,\left\{\begin{array}{l}{n}_{t}+u\cdot \nabla n=\nabla \cdot (D\left(n)\nabla n)-\nabla \cdot (nS\left(x,n,c)\cdot \nabla c),\\ {c}_{t}+u\cdot \nabla c ...
Winkler Michael
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Stability of Densities for Perturbed Degenerate Diffusions [PDF]
Theory of Probability & Its Applications, 2017 We study the sensitivity of the densities of some Kolmogorov like degenerate diffusion processes with respect to a perturbation of the coefficients of the non-degenerate component. Under suitable (quite sharp) assumptions we quantify how the pertubation of the SDE affects the density.
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One-Dimensional Degenerate Diffusion Operators [PDF]
Mediterranean Journal of Mathematics, 2013 The aim of this paper is to present some results about generation, sectoriality and gradient estimates both for the semigroup and for the resolvent of suitable realizations of the operators [\Ab u(x)=γxu"(x) + b u'(x),] with constants $γ>0$ and $b\geq 0$, in the space $C([0,\infty])$
ALBANESE, Angela Anna +1 more
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Global existence and asymptotic behaviour for a degenerate diffusive SEIR model
Electronic Journal of Qualitative Theory of Differential Equations, 2005 In this paper we analyze the global existence and asymptotic behavior of a reaction diffusion system with degenerate diffusion arising in modeling the spatial spread of an epidemic disease.
T. Aliziane, M. Langlais
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C1–regularity for degenerate diffusion equations
Advances in Mathematics, 2022 To appear in Advances in ...
Andrade, P. +3 more
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