Results 21 to 30 of about 11,801 (293)

Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model

Bulletin of Mathematical Sciences, 2023
A no-flux initial-boundary value problem for the cross-diffusion system ut = Δ(uϕ(v)),vt = Δv − uv is considered in smoothly bounded domains [Formula: see text] with [Formula: see text].
Michael Winkler
doaj   +1 more source

Creeping fronts in degenerate reaction–diffusion systems [PDF]

Nonlinearity, 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

Global existence and asymptotic behaviour for a degenerate diffusive SEIR model

Electronic Journal of Qualitative Theory of Differential Equations, 2005
In this paper we analyze the global existence and asymptotic behavior of a reaction diffusion system with degenerate diffusion arising in modeling the spatial spread of an epidemic disease.
T. Aliziane, M. Langlais
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Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings

Advanced Nonlinear Studies, 2022
The chemotaxis–Stokes system nt+u⋅∇n=∇⋅(D(n)∇n)−∇⋅(nS(x,n,c)⋅∇c),ct+u⋅∇c=Δc−nc,ut=Δu+∇P+n∇Φ,∇⋅u=0,\left\{\begin{array}{l}{n}_{t}+u\cdot \nabla n=\nabla \cdot (D\left(n)\nabla n)-\nabla \cdot (nS\left(x,n,c)\cdot \nabla c),\\ {c}_{t}+u\cdot \nabla c ...
Winkler Michael
doaj   +1 more source

Singular-Degenerate Multivalued Stochastic Fast Diffusion Equations [PDF]

SIAM Journal on Mathematical Analysis, 2015
We consider singular-degenerate, multivalued stochastic fast diffusion equations with multiplicative Lipschitz continuous noise. In particular, this includes the stochastic sign fast diffusion equation arising from the Bak-Tang-Wiesenfeld model for self-organized criticality. A well-posedness framework based on stochastic variational inequalities (SVI)
Gess, Benjamin, Röckner, Michael
openaire   +3 more sources

Analysis of travelling wave solutions for Eyring-Powell fluid formulated with a degenerate diffusivity and a Darcy-Forchheimer law

AIMS Mathematics, 2022
The goal of this paper is to provide analytical assessments to a fluid flowing in a porous medium with a non-linear diffusion linked to a degenerate diffusivity.
José Luis Díaz Palencia , Saeed ur Rahman, Antonio Naranjo Redondo   +2 more
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Decoupling atomic diffusion degeneracy in L12 intermetallics

Materials 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
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Ergodic control of degenerate diffusions [PDF]

Stochastic Analysis and Applications, 1997
We study the ergodic control problem of degenerate diffusions on RdUnder a certain Liapunov type stability condition we establish the existence of an optimal control. We then study the correponding HJB equation and establish the existence of a unique viscosity solution in a certain ...
Basak, GK, Borkar, VS, Ghosh, MK
openaire   +2 more sources

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

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

Journal 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