Results 51 to 60 of about 1,215 (98)

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
doaj   +1 more source

Global stability of stage-structured single species model on with Beverton–Holt birth function

Applied Mathematics in Science and Engineering
Our article discusses a Cauchy problem of a single species model with stage structure and Beverton–Holt birth function. The global stability of the Cauchy problem is completely surveyed by using the global stability of the corresponding elliptic system ...
Hongtao Zhang, Jingfu Zhao
doaj   +1 more source

Existence and uniqueness results of solutions for a new class of parabolic varitional inequalities related with impulse control problem

Nonlinear Engineering
In this work, we establish novel existence and uniqueness results for parabolic quasi-variational inequalities (PQVIs) by developing a structured four-phase numerical framework.
Boulaaras Salah, Guefaifia Rafik, Haiour Mohamed   +2 more
doaj   +1 more source

Dynamical properties of single species stage structured model with Michaelis-Menten type harvesting on adult population and linear harvesting on juvenile population. [PDF]

Heliyon, 2023
Akter S, Islam MS, Hossain T.
europepmc   +1 more source

Loss of Regularity of Solutions of the Lighthill Problem for Shock Diffraction for Potential Flow

, 2020
We are concerned with the suitability of the main models of compressible fluid dynamics for the Lighthill problem for shock diffraction by a convex corned wedge, by studying the regularity of solutions of the problem, which can be formulated as a free ...
Chen, Gui-Qiang, Feldman, Mikhail, Hu, Jingchen, Xiang, Wei   +3 more
core  

On a Cahn–Hilliard equation for the growth and division of chemically active droplets modelling protocells

European Journal of Applied Mathematics
The Cahn–Hilliard model with reaction terms can lead to situations in which no coarsening is taking place and, in contrast, growth and division of droplets occur which all do not grow larger than a certain size.
Harald Garcke, Kei Fong Lam, Robert Nürnberg, Andrea Signori   +3 more
doaj   +1 more source

A free boundary model for transport-induced neurite growth

European Journal of Applied Mathematics
We introduce a free boundary model to study the effect of vesicle transport onto neurite growth. It consists of systems of drift-diffusion equations describing the evolution of the density of antero- and retrograde vesicles in each neurite coupled to ...
Greta Marino, Jan-Frederik Pietschmann, Max Winkler   +2 more
doaj   +1 more source

Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis. [PDF]

J Math Biol, 2023
Lu MJ, Hao W, Hu B, Li S.
europepmc   +1 more source

An initial-boundary value problem for the one-dimensional non-classical heat equation in a slab

Boundary Value Problems, 2011
Nonlinear problems for the one-dimensional heat equation in a bounded and homogeneous medium with temperature data on the boundaries x = 0 and x = 1, and a uniform spatial heat source depending on the heat flux (or the temperature) on the boundary x = 0 ...
Salva Natalia, Tarzia Domingo, Villa Luis   +2 more
doaj  

Free surface equatorial flows in spherical coordinates with discontinuous stratification depending on depth and latitude. [PDF]

Ann Mat Pura Appl, 2022
Martin C, Petruşel A.
europepmc   +1 more source