Results 81 to 90 of about 234 (137)

A Morphological Scheme For Mean Curvature Motion And Applications To Anisotropic Diffusion And Motion Of Level Sets.

open access: yes, 1995
. This paper introduces a discrete scheme for mean curvature motion using a morphological image processing approach. After briefly presenting an axiomatic approach of image processing and the mean curvature PDE, the properties of the proposed scheme are ...
Georges Koepfler, Francine Catt
core  

Singular limit of solutions of some degenerate parabolic equations.

open access: yes, 2013
[[sponsorship]]數學研究所[[note]]已出版 ...
Hui, Kin Ming
core  

Dipoles and Similarity Solutions of the Thin Film Equation in the Half-Line

open access: yes, 1999
We consider non-negative solutions on the half-line of the thin film equation h t +(h n hxxx)x = 0, which arises in lubrication models for thin viscous films, spreading droplets and Hele-Shaw cells.
Francisco Bernis   +2 more
core  

On some classes of Fleming-Viot type differential operators on the unit interval: Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary

open access: yes, 2016
Of concern are some classes of initial-boundary value differential problems associated with one-dimensional Fleming-Viot differential operators. Among other things, these operators occur in some models from population genetics to study the fluctuation of
ALTOMARE, Francesco
core  

A degenerate migration-consumption model in domains of arbitrary dimension

open access: yesAdvanced Nonlinear Studies
In a smoothly bounded convex domain Ω⊂Rn ${\Omega}\subset {\mathbb{R}}^{n}$ with n ≥ 1, a no-flux initial-boundary value problem forut=Δuϕ(v),vt=Δv−uv, $$\begin{cases}_{t}={\Delta}\left(u\phi \left(v\right)\right),\quad \hfill \\ {v}_{t}={\Delta}v-uv ...
Winkler Michael
doaj   +1 more source

The Keller-Segel model with logistic sensitivity function and small diffusivity

open access: yes, 2006
. The Keller-Segel model is the classical model for chemotaxis of cell populations. It consists of a drift-diffusion equation for the cell density coupled to an equation for the chemoattractant.
Christian Schmeiser, Yasmin Dolak
core  

Nishida–Smoller type large solutions and exponential growth for the compressible Navier–Stokes equations with slip boundary conditions in 3D bounded domain

open access: yesEuropean Journal of Applied Mathematics
This paper concerns the isentropic compressible Navier–Stokes equations in a three-dimensional (3D) bounded domain with slip boundary conditions and vacuum.
Saiguo Xu, Yinghui Zhang
doaj   +1 more source

Gevrey Regularity and Local Well-Posedness for the HirotaSatsuma System

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we examine the local well-posedness of the initial value problem for the HirotaSatsuma system within Gevrey spaces. This system, which consists of a coupled nonlinear dispersive partial differential equation, models the interactions ...
Boudersa Feriel   +2 more
doaj   +1 more source

Existence of solutions to a diffusive shallow medium equation. [PDF]

open access: yesJ Evol Equ, 2021
Bögelein V, Dietrich N, Vestberg M.
europepmc   +1 more source

A vanishing dynamic capillarity limit equation with discontinuous flux. [PDF]

open access: yesZ Angew Math Phys, 2020
Graf M   +3 more
europepmc   +1 more source

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