Results 41 to 50 of about 883 (118)

Phase Transitions for the Brusselator Model

, 2010
Dynamic phase transitions of the Brusselator model is carefully analyzed, leading to a rigorous characterization of the types and structure of the phase transitions of the model from basic homogeneous states.
Ma T., Ma T., Shouhong Wang, Tian Ma
core   +1 more source

Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant

, 2015
We study nonnnegative radially symmetric solutions of the parabolic-elliptic Keller-Segel whole space system \begin{align*} \left\{\begin{array}{c@{\,}l@{\quad}l@{\,}c} u_{t}&=\Delta u-\nabla\!\cdot(u\nabla v),\ &x\in\mathbb{R}^n,& t>0,\\ 0 &=\Delta v+u ...
Black, Tobias
core   +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

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

On Kinetic Equations Modeling Evolution of Systems in Mathematical Biology

, 2013
We develop a rigorous formalism for the description of the kinetic evolution of interacting entities modeling systems in mathematical biology within the framework of the evolution of marginal observables.
Fedchun, Yu. Yu., Gerasimenko, V. I.
core   +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

A new paradigm considering multicellular adhesion, repulsion and attraction represent diverse cellular tile patterns

bioRxiv
Cell sorting by differential adhesion is one of the basic mechanisms explaining spatial organization of neurons in early stage brain development of fruit flies.
José A. Carrillo, Hideki Murakawa, Makoto Sato, Miaoxing Wang   +3 more
semanticscholar   +1 more source

Global well-posedness and asymptotic behavior in Besov-Morrey spaces for chemotaxis-Navier-Stokes fluids

, 2019
In this work we consider the Keller-Segel system coupled with Navier-Stokes equations in $\mathbb{R}^{N}$ for $N\geq2$. We prove the global well-posedness with small initial data in Besov-Morrey spaces.
Ferreira, Lucas C. F., Postigo, Monisse
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