Degenerate diffusion with Preisach hysteresis [PDF]
Discrete and Continuous Dynamical Systems - S, 2023 Fluid diffusion in unsaturated porous media manifests strong hysteresis effects due to surface tension on the liquid-gas interface. We describe hysteresis in the pressure-saturation relation by means of the Preisach operator, which makes the resulting ...
Chiara Gavioli, Pavel Krejvc'i
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A regime-switching SIR epidemic model with a ratio-dependent incidence rate and degenerate diffusion. [PDF]
Sci Rep, 2019 In this paper, we present a regime-switching SIR epidemic model with a ratio-dependent incidence rate and degenerate diffusion. We utilize the Markov semigroup theory to obtain the existence of a unique stable stationary distribution.
Cao Z, Liu X, Wen X, Liu L, Zu L.
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Convergence of the Euler-Maruyama method for multidimensional SDEs with discontinuous drift and degenerate diffusion coefficient. [PDF]
Numer Math (Heidelb), 2018 We prove strong convergence of order 1/4-ϵ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \
Leobacher G, Szölgyenyi M.
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EARLY AND LATE STAGE PROFILES FOR A CHEMOTAXIS MODEL WITH DENSITY-DEPENDENT JUMP PROBABILITY
Mathematical Biosciences and Engineering, 2018 In this paper, we derive a chemotaxis model with degenerate diffusion and density-dependent chemotactic sensitivity, and we provide a more realistic description of cell migration process for its early and late stages.
Tianyuan Xu +4 more
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Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion [PDF]
Proceedings of the Royal Society A, 2021 In this paper, we carry out a travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion. We consider two types of invasive fronts of tumour tissue into extracellular matrix (ECM), which represents healthy tissue ...
Chloé Colson +4 more
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Asymptotic behavior of a regime-switching SIR epidemic model with degenerate diffusion [PDF]
, 2018 In this paper, we consider a stochastic SIR epidemic model with regime switching. The Markov semigroup theory will be employed to obtain the existence of a unique stable stationary distribution.
Manli Jin, Yuguo Lin, Minghe Pei
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A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion [PDF]
Annales de l'Institut Henri Poincare. Analyse non linéar, 2022 The taxis-type migration-consumption model accounting for signal-dependent motilities, as given by ( u t = ∆ ( ) is considered for suitably smooth functions φ : [0 , ∞ ) → R which are such that φ > 0 on (0 , ∞ ), but that in addition φ (0) = 0 with φ ...
M. Winkler
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Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework* [PDF]
ESAIM: Proceedings and Surveys, 2023 This work is motivated by the modelling a liquid-vapour flows with phase transition describing the evolution of the coolant within an heat exchanger (e.g. the core of a Pressurized Water Reactor).
Faccanoni Gloria, Galusinski Cédric
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Critical sharp front for doubly nonlinear degenerate diffusion equations with time delay [PDF]
Nonlinearity, 2021 This paper is concerned with the critical sharp travelling wave for doubly nonlinear diffusion equation with time delay, where the doubly nonlinear degenerate diffusion is defined by ((um)xp−2(um)x)x with m > 0 and p > 1.
Tianyuan Xu +3 more
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Inverse problem of reconstruction of degenerate diffusion coefficient in a parabolic equation [PDF]
Inverse Problems, 2021 We consider the inverse problem of identification of degenerate diffusion coefficient of the form x α a(x) in a one dimensional parabolic equation by some extra data. We first prove by energy methods the uniqueness and Lipschitz stability results for the
P. Cannarsa +2 more
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