Results 61 to 70 of about 115 (113)

Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]

Calc Var Partial Differ Equ, 2021
Bögelein V, Heran A, Schätzler L, Singer T.   +3 more
europepmc   +1 more source

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

, 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, Josephus Hulshof, John R. King   +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

, 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  

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

, 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  

A degenerate migration-consumption model in domains of arbitrary dimension

Advanced 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

Singular limit of solutions of some degenerate parabolic equations.

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

Gevrey Regularity and Local Well-Posedness for the HirotaSatsuma System

Analele 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, Mennouni Abdelaziz, Agarwal Ravi P.   +2 more
doaj   +1 more source

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

European 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

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

J Evol Equ, 2021
Bögelein V, Dietrich N, Vestberg M.
europepmc   +1 more source

Blow-up and global existence profile of a class of fully nonlinear degenerate parabolic equations

Open Mathematics, 2011
Li Jing, Yin Jingxue, Jin Chunhua
doaj   +1 more source