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Global stability of traveling waves for nonlocal time-delayed degenerate diffusion equation
Journal of Differential Equations, 2022Changchun Liu, Ming Mei, Jiaqi Yang
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On unique ergodicity for degenerate diffusions
Stochastics, 1987We investigate the invariant probabilities of a possible degenerate diffusion process on a manifold. Using the support theorems of stroock, Varadhan and Kunita, the possible candidates for supports of invariant probabilities can be characterized as the invariant control sets of the corresponding control system.
Ludwig Arnold, Wolfgang Kliemann
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Degenerate Nonlinear Diffusion Equations
2012The aim of this notes is to include in a unitary presentation some topics related to the theory of degenerate nonlinear diffusion equations, treated in the mathematical framework of evolution equations with multivalued maximal monotone operators in Hilbert spaces.
FAVINI, ANGELO, G. Marinoschi
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Existence for Diffusion Degenerate Problems
2012In this chapter we present another method for studying the well-posedness of a multivalued degenerate fast diffusion equation by proposing an appropriate time discretization scheme. We consider that the degeneration of the equation is due to the vanishing of the diffusion coefficient and choose for this problem Robin boundary conditions which contain ...
Angelo Favini, Gabriela Marinoschi
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Degenerate Diffusions with regular Hamiltonians
AIP Conference Proceedings, 2005We consider the asymptotic behaviour for small time and small parameter of the heat kernel on the cotangent bundle of a Riemannian manifold defined by a stochastically perturbed geodesic flow generalizing WKB‐type methods to a diffusion corresponding to a particular regular degenerate Hamiltonian.
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Numerical simulation for degenerate diffusions
Applied Numerical Mathematics, 1990The author considers special finite difference schemes for singular degenerate parabolic equations describing stochastic diffusion processes. The main attention is given to the following problem connected with the statistical description of the wave propagation in random media: (1) \(y_ t=(1-\rho^ 2)^ 2y_{\rho \rho}-[(1-\rho^ 2)(1+7\rho^ 2)\rho^{-1 ...
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Delayed Diffusion Restriction of Wallerian Degeneration
Neurocritical Care, 2023Daniel J. Zhou +2 more
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Stabilization for degenerate diffusion with absorption
Nonlinear Analysis: Theory, Methods & Applications, 2003The present article is a continuation of the author's study [Commun. Partial Differ. Equations 26, 1385-1408 (2001; Zbl 1056.35096)], wherein the author was interested in the asymptotic behavior of solutions of initial-boundary value problems for the so-called filtration equation.
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Propagation Dynamics for Time-Periodic and Partially Degenerate Reaction-Diffusion Systems
SIAM Journal on Mathematical Analysis, 2022Mingdi Huang +2 more
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