Results 31 to 40 of about 148 (125)

Critical mass for a no-flux-Dirichlet chemotaxis model with indirect signal production mechanism

Advances in Nonlinear Analysis
In this paper, we investigate the no-flux-Dirichlet parabolic–elliptic–ODE system with indirect signal production mechanismut*=Δu*−∇⋅u*∇v*,x∈Ω,t>0,0=Δv*−kv*+w*,x∈Ω,t>0,τ*wt*=−δw*+u*,x∈Ω,t>0,∂u*∂ν−u*∂v*∂ν=v*=0,x∈∂Ω,t>0,u*(x,0)=u0*(x),w*(x,0)=w0*(x),x∈Ω, $$
Yang Lan
doaj   +1 more source

Trans maxima; A Maxima package for analytical solution of one dimensional linear system of transport equations

, 2020
    In this study we aim to develop a Maxima [1] package for analytical solution of linear system ofone dimensional transport equations of the formU_t + A_Ux = B_Uxx + CU + D (1)where U = (u,v) is the vector of unknowns, A, B and C ...
Yaprak, Rıdvan, Coşkun, Erhan
core  

Asymptotic behavior of global mild solutions to the Keller-Segel-Navier-Stokes system in Lorentz spaces

Advances in Nonlinear Analysis
The Keller-Segel-Navier-Stokes system in RN{{\mathbb{R}}}^{N} is considered, where N≥3N\ge 3. We show the existence and uniqueness of local mild solutions for arbitrary initial data and gravitational potential in scaling invariant Lorentz spaces ...
Takeuchi Taiki
doaj   +1 more source

The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1

Advances in Nonlinear Analysis, 2019
In bounded n-dimensional domains Ω, the Neumann problem for the parabolic ...
Winkler Michael
doaj   +1 more source

Global boundedness and stability of a quasilinear two-species chemotaxis-competition model with nonlinear sensitivities

Advances in Nonlinear Analysis
This study deals with the global boundedness of a classical solution to a quasilinear two-species chemotaxis-competition model with nonlinear sensitivities in n≤3n\le 3. Due to the presence of nonlinear sensitivities, obtaining the necessary ‖w‖L∞\Vert w{
Yan Dongze, Liu Changchun
doaj   +1 more source

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia, Gallo Marco, Tanaka Kazunaga   +2 more
doaj   +1 more source

Protection Zones in Periodic-Parabolic Problems

Advanced Nonlinear Studies, 2020
This paper characterizes whether or ...
López-Gómez Julián
doaj   +1 more source

Steady-state bifurcation and pattern formation in an immune chemotaxis system with volume-filling effects

This paper studies a three-component reaction-diffusion-advection immune chemotaxis model incorporating volume-filling effects, which accounts for spatial crowding and density limitation of immune cells.
Yafei Yang, Liangying Miao, Xiaoyan Gao
core   +1 more source

Spatio-temporal behaviour of SIR models with cross-diffusion and vital dynamics

European Journal of Applied Mathematics
Contemporary epidemiological models often involve spatial variation, providing an avenue to investigate the averaged dynamics of individual movements.
Maryam Ahmadpoortorkamani, Alexei Cheviakov   +1 more
doaj   +1 more source

Global well-posedness and Turing–Hopf bifurcation of prey-taxis systems with hunting cooperation

European Journal of Applied Mathematics
This paper is concerned with a predator–prey system with hunting cooperation and prey-taxis under homogeneous Neumann boundary conditions. We establish the existence of globally bounded solutions in two dimensions.
Weirun Tao, Zhi-An Wang
doaj   +1 more source