Results 21 to 30 of about 43 (42)

Generalized result on the global existence of positive solutions for a parabolic reaction-diffusion model with an m × m diffusion matrix

Demonstratio Mathematica
The aim of this work is to study the global existence in time of solutions for the tridiagonal system of reaction-diffusion by order mm. Our techniques of proof are based on compact semigroup methods and some L1{L}^{1}-estimates.
Barrouk Nabila, Abdelmalek Karima
doaj   +1 more source

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

Note on quantitative homogenization results for parabolic systems in R d. [PDF]

J Evol Equ, 2021
Meshkova Y.
europepmc   +1 more source

BEHAVIOR OF SOLUTIONS TO AN ACTIVATOR-INHIBITOR SYSTEM WITH BASIC PRODUCTION TERMS

, 2009
1.Introduction and Statement of Results 2.Collapse of Patterns 3.Collapse of patterns in a more general case 4.Concluding RemarksProceedings of the Czech-Japanese Seminar in Applied Mathematics 2008Takachiho University of Miyazaki, Miyazaki, Japan ...
Takagi, Izumi, Suzuki, Kanako
core  

Explicit Stable Methods For Second Order Parabolic Systems

, 2007
. We show that it is possible to construct stable, explicit finite difference approximations for the classical solution of the initial value problem for the parabolic systems of the form @ t = A(t; x) + f on R d , where A(t; x) = P ij @ i a ij (t; x)
Ned Zad Limi C, Ned Zad
core  

BEHAVIOR OF SOLUTIONS TO AN ACTIVATOR-INHIBITOR SYSTEM WITH BASIC PRODUCTION TERMS

We consider an activator-inhibitor system proposed by A. Gierer and H. Meinhardt in 1972, which is a model of the transplantation experiment on hydra. Nontrivial spatial patterns of the activator are expected to emerge in the system, and it is postulated
Takagi, Izumi, Suzuki, Kanako
core  

Global existence for a system of nonlocal PDEs with applications to chemically reacting incompressible fluids

Open Mathematics, 2013
Bárta Tomáš
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Convergence rate from hyperbolic systems of balance laws to parabolic systems

Applicable Analysis, 2021
Yachun Li, , Yue-Jun Peng
exaly  

Boundedness of solutions for a quasilinear chemotaxis-haptotaxis model

Hokkaido Mathematical Journal, 2021
Guoqiang Ren
exaly  

Global stability in diffusive delay Lotka-Volterra systems

Differential and Integral Equations, 1991
Yang Kuang
exaly