Results 31 to 40 of about 9,598,593 (294)

A Free Boundary Problem for the Predator–Prey Model with Double Free Boundaries [PDF]

open access: yesJournal of Dynamics and Differential Equations, 2015
25 ...
Wang, Mingxin, Zhao, Jingfu
openaire   +3 more sources

Qualitative Numerical Analysis of a Free-Boundary Diffusive Logistic Model

open access: yesMathematics, 2023
A two-dimensional free-boundary diffusive logistic model with radial symmetry is considered. This model is used in various fields to describe the dynamics of spreading in different media: fire propagation, spreading of population or biological invasions.
María Consuelo Casabán   +3 more
doaj   +1 more source

A free boundary problem for the -Laplacian [PDF]

open access: yesNonlinear Analysis: Theory, Methods & Applications, 2010
We consider the optimization problem of minimizing $\int_Ω|\nabla u|^{p(x)}+ λχ_{\{u>0\}} dx$ in the class of functions $W^{1,p(\cdot)}(Ω)$ with $u-ϕ_0\in W_0^{1,p(\cdot)}(Ω)$, for a given $ϕ_0\geq 0$ and bounded. $W^{1,p(\cdot)}(Ω)$ is the class of weakly differentiable functions with $\int_Ω|\nabla u|^{p(x)} dx0\}$, is a regular surface.
Fernandez Bonder, Julian   +2 more
openaire   +4 more sources

Free boundary value problem for compressible magnetohydrodynamic equations

open access: yesElectronic Journal of Differential Equations, 2020
In this article we consider a free boundary value problem for barotropic compressible magnetohydrodynamic equations with density-dependent viscosity coefficients.
Huihui Kong, Ruxu Lian
doaj  

Small Motions of an Ideal Stratified Fluid in a Basin Covered with Ice

open access: yesСовременная математика: Фундаментальные направления, 2018
We study the problem on small motions of an ideal stratified fluid with a free surface partially covered with crushed ice. The crushed ice is supposed to be ponderable particles of some matter floating on the free surface.
N D Kopachevsky, D O Tsvetkov
doaj   +1 more source

From junk to function — How weak selection in eukaryotes builds new parts and drives genomic complexity

open access: yesFEBS Letters, EarlyView.
How do genomes gain new functional parts? In eukaryotes, which tend to evolve under weak selection, much of the genome is junk. Palazzo and Qiu borrow the logic of Markov chains to show how non‐functional DNA becomes functional through the appearance of intermediate states, which arise due to epistasis, buffering, and biochemical messiness, allowing ...
Alexander F. Palazzo, Yi Qiu
wiley   +1 more source

Symmetries of some free boundary problem in hydrodynamics

open access: yesДифференциальная геометрия многообразий фигур
The free boundary problem of water waves in three space di­men­sions without surface tension is considered. The problem con­sists of the Laplace equation on the velocity potential, and of the ki­nematic and dynamic boundary conditions. T. Brooke Benjamin
A. V. Kuleshov
doaj   +1 more source

Membrane composition and thermodynamic identity as boundaries of life for synthetic cell research

open access: yesFEBS Letters, EarlyView.
What makes a cell a cell? The boundary of a living cell is not just a wall. Read as a Markov blanket, the membrane separates internal from external states, generating identity and non‐equilibrium order. Can this identity be rebuilt from scratch in a synthetic cell?
Caterina Presutti, Bert Poolman
wiley   +1 more source

Uniqueness in a two phase free boundary problem [PDF]

open access: yes, 2001
We investigate a two-phase free-boundary problem in heat propagation that in classical terms is formulated as follows: to find a continuous function u(x, t) defined in a domain D ⊂ RN × (0, T) which satisfies the equation ∆u + Σ ai uxi − ut = 0 whenever ...
Lederman, Claudia Beatriz   +2 more
core   +1 more source

On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem

open access: yesOpen Mathematics, 2015
We consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on Cm-smoothness of the free boundary are obtained.
Semerdjieva Rossitza
doaj   +1 more source

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