Results 41 to 50 of about 1,564,798 (354)

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)= xu"(x) + b u'(x),] with constants $ >0$ and $b\geq 0$, in the space $C([0,\infty])$
ALBANESE, Angela Anna, MANGINO, Elisabetta Maria   +1 more
openaire   +2 more sources

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
doaj   +1 more source

Schauder a priori estimates and regularity of solutions to boundary-degenerate elliptic linear second-order partial differential equations [PDF]

, 2013
We establish Schauder a priori estimates and regularity for solutions to a class of boundary-degenerate elliptic linear second-order partial differential equations.
Camelia Pop, Camelia Pop, Paul Feehan, Paul M. N. Feehan   +3 more
core   +2 more sources

Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings

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
doaj   +1 more source

Analysis of travelling wave solutions for Eyring-Powell fluid formulated with a degenerate diffusivity and a Darcy-Forchheimer law

AIMS Mathematics, 2022
The goal of this paper is to provide analytical assessments to a fluid flowing in a porous medium with a non-linear diffusion linked to a degenerate diffusivity.
José Luis Díaz Palencia , Saeed ur Rahman, Antonio Naranjo Redondo   +2 more
doaj   +1 more source

Stationary States of an Aggregation Equation with Degenerate Diffusion and Bounded Attractive Potential [PDF]

SIAM Journal on Mathematical Analysis, 2016
We investigate stationary solutions of a non-local aggregation equation with degenerate power-law diffusion and bounded attractive potential in arbitrary dimensions.
Gunnar Kaib
semanticscholar   +1 more source

Coulomb interaction effects in spin-polarized transport [PDF]

, 2001
We study the effect of the electron-electron interaction on the transport of spin polarized currents in metals and doped semiconductors in the diffusive regime. In addition to well-known screening effects, we identify two additional effects, which depend
A. G. Rojo, B. Kane, B. König, D. Ceperley, D. Ceperley, D. D. Awschalom, D. Loss, G. A. Prinz, G. A. Prinz, G. Ortiz, Giovanni Vignale, H. Ohno, I. D’Amico, I. D’Amico, Irene D’Amico, J. M. Kikkawa, J. M. Kikkawa, J. M. Kikkawa, M. Combescot, M. Johnson, M. Johnson, M. Johnson, Michael E. Flatté, N. D. Mermin, S. Tanaka, T. P. McLean, W. Hänsch   +26 more
core   +2 more sources

Gaussian estimates for degenerate diffusion [PDF]

Proceedings of the American Mathematical Society, 2012
The author shows Gaussian estimates for the kernel of the semigroup generated by the operator \(m \Delta\) on the weighted Lebesgue space \(L^p(\Omega, m^{-1}(x) \, dx)\) for \(p \in [1,\infty)\) and bounded measurable functions \(m: \Omega \to (0,\infty)\) on arbitrary open sets \(\Omega \subset \mathbb{R}^N\). In the main result it is shown that if \(
Michal Chovanec
openalex   +3 more sources

Decoupling atomic diffusion degeneracy in L12 intermetallics

Materials Research Letters
In this work, a degenerate diffusion state is identified for common L12 intermetallics in well-defined five-frequency model (FFM) and anti-site bridge model (ASB).
Haiyu Luo, Wensheng Liu, Chaoping Liang
doaj   +1 more source

Non-Degenerate Ultrametric Diffusion

, 2004
General non-degenerate p-adic operators of ultrametric diffusion are introduced. Bases of eigenvectors for the introduced operators are constructed and the corresponding eigenvalues are computed. Properties of the corresponding dynamics (i.e.
Albeverio S., Mezard M., S. V. Kozyrev, V. A. Avetisov, V. Al. Osipov   +4 more
core   +2 more sources