Results 21 to 30 of about 1,564,798 (354)
Optimal control for a two-sidedly degenerate aggregation equation
Nonlinear Analysis, 2023 In this paper, we are concerned with the study of the mathematical analysis for an optimal control of a nonlocal degenerate aggregation model. This model describes the aggregation of organisms such as pedestrian movements, chemotaxis, animal swarming ...
Mostafa Bendahmane +4 more
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A Strong Maximum Principle for Nonlinear Nonlocal Diffusion Equations
Axioms, 2023 We consider a class of nonlinear integro-differential equations that model degenerate nonlocal diffusion. We investigate whether the strong maximum principle is valid for this nonlocal equation. For degenerate parabolic PDEs, the strong maximum principle
Tucker Hartland, Ravi Shankar
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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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Variational approach of critical sharp front speeds in degenerate diffusion model with time delay [PDF]
Nonlinearity, 2019 For the classical reaction diffusion equation, the a priori speed of fronts is determined exactly in the pioneering paper (Benguria and Depassier 1996 Commun. Math. Phys. 175 221–227) by variational characterization method.
Tianyuan Xu +3 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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The Degenerate Neumann Problem and Degenerate Diffusions with Venttsel's Boundary Conditions [PDF]
The Annals of Probability, 1981 A stochastic solution of the Neumann problem is obtained, when the second order elliptic operator $L$ is degenerate at the boundary of the domain. Let $D$ be a domain in $R^n$ with the smooth boundary $\partial D$, and the second order elliptic operator $L$ be defined in $R^n$.
Kunio NISHIOKA
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Discrete & Continuous Dynamical Systems - B, 2020 In this paper we consider a free boundary problem for a prey-predator model with degenerate diffusion and predator-stage structure. In our model, the individuals of a new or invasive predatory species are classified as belonging to either the immature or
Siyu Liu, Haomin Huang, Mingxin Wang
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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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Non-Lipschitz heterogeneous reaction with a p-Laplacian operator
AIMS Mathematics, 2022 The intention along this work is to provide analytical approaches for a degenerate parabolic equation formulated with a p-Laplacian operator and heterogeneous non-Lipschitz reaction.
José L. Díaz
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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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