Results 21 to 30 of about 11,024 (266)

Asymptotic behavior for parabolic equations with interior degeneracy

open access: yesExamples and Counterexamples, 2022
The long time behavior of a class of degenerate parabolic equations in a bounded domain will be considered in the sense that the nonnegative diffusion coefficient a(x)is allowed to vanish in a set of positive measure in the interior of the domain.
María Astudillo   +3 more
doaj   +1 more source

Initial-boundary value problem for the time-fractional degenerate diffusion equation

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2022
In this paper the initial-boundary value problems for the one-dimensional linear time-fractional diffusion equations with the time-fractional derivative ∂ α t of order α ∈ (0, 1) in the variable t and time-degenerate diffusive coefficients t β with β ≥ 1
A. G. Smadiyeva
doaj   +1 more source

Decoupling atomic diffusion degeneracy in L12 intermetallics

open access: yesMaterials 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

Hölder inequality applied on a non-Newtonian fluid equation with a nonlinear convection term and a source term

open access: yesJournal of Inequalities and Applications, 2018
Consider a non-Newtonian fluid equation with a nonlinear convection term and a source term. The existence of the weak solution is proved by Simon’s compactness theorem.
Huashui Zhan
doaj   +1 more source

Singular Perturbations of Degenerate Diffusions

open access: yesThe Annals of Probability, 1987
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Creeping fronts in degenerate reaction–diffusion systems [PDF]

open access: yesNonlinearity, 2005
We study systems of reaction diffusion type for two species in one space dimension and investigate the dynamics in the case where the second species does not diffuse. We consider competing species with two stable equilibria and front solutions that connect the two stable states. A free energy function determines a preferred state.
Schweizer, Ben, Heinze, S.
openaire   +3 more sources

Bistable equation with discontinuous density dependent diffusion with degenerations and singularities

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
In this article we introduce rather general notion of the stationary solution of the bistable equation which allows to treat discontinuous density dependent diffusion term with singularities and degenerations, as well as degenerate or non-Lipschitz ...
Pavel Drábek, Michaela Zahradnikova
doaj   +1 more source

Principal spectral theory and asymptotic behavior of the spectral bound for partially degenerate nonlocal dispersal systems

open access: yesAdvanced Nonlinear Studies
The purpose of this paper is to investigate the principal spectral theory and asymptotic behavior of the spectral bound for cooperative nonlocal dispersal systems, specifically focusing on the case where partial diffusion coefficients are zero, referred ...
Zhang Lei
doaj   +1 more source

Regularity Properties of Degenerate Diffusion Equations with Drifts [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 2018
This paper considers a class of nonlinear, degenerate drift- diffusion equations. We study well-posedness and regularity properties of the solutions, with the goal to achieve uniform Hölder regularity in terms of $L^p$-bound on the drift vector field. A formal scaling argument yields that the threshold for such estimates is $p=d$, while our estimates ...
Inwon Kim, Yuming Paul Zhang
openaire   +2 more sources

Solid Pseudopapillary Neoplasm of the Pancreas in Children and Adolescents: Expert Recommendations

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Solid pseudopapillary neoplasm of the pancreas (SPN) is a rare low‐grade malignant exocrine pancreatic tumor, mostly discovered during the second decade of life in females, with a very good prognosis, provided microscopically complete surgical excision is achieved.
Sabine Irtan   +18 more
wiley   +1 more source

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