Results 11 to 20 of about 11,801 (293)
Traveling Waves in Degenerate Diffusion Equations
Communications in Mathematical Research, 2022 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 ...
Tianyuan Xu, Jingxue Yin Jingxue Yin
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Doubly degenerate diffuse interface models of surface diffusion [PDF]
Mathematical Methods in the Applied Sciences, 2020 We discuss two doubly degenerate Cahn–Hilliard (DDCH) models for isotropic surface diffusion. Degeneracy is introduced in both the mobility function and a restriction function associated to the chemical potential. Our computational results suggest that the restriction functions yield more accurate approximations of surface diffusion.
Marco Salvalaglio +2 more
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Indirect Diffusion Effect in Degenerate Reaction-Diffusion Systems [PDF]
SIAM Journal on Mathematical Analysis, 2020 In this work we study global well-posedness and large time behaviour for a typical reaction--diffusion system, which include degenerate diffusion, and whose non-linearities arise from chemical reactions. We show that there is an {\it indirect diffusion effect}, i.e. an effective diffusion for the non-diffusive species which is incurred by a combination
Amit Einav +2 more
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Degenerate diffusion with Preisach hysteresis
Discrete and Continuous Dynamical Systems - S, 2023 34 ...
Gavioli, Chiara, Krejčí, Pavel
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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)= xu"(x) + b u'(x),] with constants $ >0$ and $b\geq 0$, in the space $C([0,\infty])$
ALBANESE, Angela Anna +1 more
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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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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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Statistical property analysis for a stochastic chemostat model with degenerate diffusion
AIMS Mathematics, 2023 By considering the fact that the growth of microorganisms in a chemostat is subject to white noise, we construct a stochastic chemostat model with degenerate diffusion by using a discrete Markov chain. By solving the corresponding Fokker-Planck equation,
Jingen Yang , Zhong Zhao , Xinyu Song
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Nondegenerate ultrametric diffusion [PDF]
Journal of Mathematical Physics, 2005 The 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. The long-time relaxation behavior of the ultrametric diffusion generated by the introduced operators are investigated.
Kozyrev, S. V. +2 more
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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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