Results 61 to 70 of about 147 (112)

Higher integrability for doubly nonlinear parabolic systems. [PDF]

SN Partial Differ Equ Appl, 2022
Bögelein V, Duzaar F, Scheven C.
europepmc   +1 more source

The nonlinear diffusion equation of the ideal barotropic gas through a porous medium

Open Mathematics, 2017
The nonlinear diffusion equation of the ideal barotropic gas through a porous medium is considered. If the diffusion coefficient is degenerate on the boundary, then the solutions may be controlled by the initial value completely, the well-posedness of ...
Zhan Huashui
doaj   +1 more source

The Microscopic Derivation and Well-Posedness of the Stochastic Keller-Segel Equation. [PDF]

J Nonlinear Sci, 2021
Huang H, Qiu J.
europepmc   +1 more source

Age-Structured Population Dynamics with Nonlocal Diffusion. [PDF]

J Dyn Differ Equ, 2022
Kang H, Ruan S, Yu X.
europepmc   +1 more source

An order approach to SPDEs with antimonotone terms. [PDF]

Stoch Partial Differ Equ, 2020
Scarpa L, Stefanelli U.
europepmc   +1 more source

Multiscale modeling of glioma pseudopalisades: contributions from the tumor microenvironment. [PDF]

J Math Biol, 2021
Kumar P, Li J, Surulescu C.
europepmc   +1 more source

Asymptotic behavior and sharp estimates for spreading fronts in a cooperative system with free boundaries

Advanced Nonlinear Studies
This paper investigates the dynamics of a reaction-diffusion system with two free boundaries, modeling the invasion of two cooperative species, where the free boundaries represent expanding fronts.
Qin Qian, Jiao Jinjing, Wang Zhiguo, Nie Hua   +3 more
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Boundedness and stabilization in a three-species chemotaxis-competition system with singular sensitivity

Advances in Nonlinear Analysis
This paper deals with the following fully parabolic chemotaxis system with singular sensitivity and Lotka–Volterra competition kineticsut=Δu−χ1∇⋅uz∇z+μ1u(1−u−a12v−a13ω),x∈Ω,t>0,vt=Δv−χ2∇⋅vz∇z+μ2v(1−a21u−v−a23ω),x∈Ω,t>0,ωt=Δω−χ3∇⋅ωz∇z+μ3ω(1−a31u−a32v−ω),x∈
Zhu Zhangsheng
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Well-posedness of Cauchy problem of fractional drift diffusion system in non-critical spaces with power-law nonlinearity

Advances in Nonlinear Analysis
In this article, we consider the global and local well-posedness of the mild solutions to the Cauchy problem of fractional drift diffusion system with higher-order nonlinearity. The main difficulty comes from the higher-order nonlinearity. Instead of the
Gu Caihong, Tang Yanbin
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Homogenization of Smoluchowski-type equations with transmission boundary conditions

Advanced Nonlinear Studies
In this work, we prove a two-scale homogenization result for a set of diffusion-coagulation Smoluchowski-type equations with transmission boundary conditions.
Franchi Bruno, Lorenzani Silvia
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