Results 61 to 70 of about 111 (109)
Ireneo Peral: Forty Years as Mentor
In this article we present a survey of the Ph.D. theses that have been completed under the advice of Ireneo Peral.Following a chronological order, we summarize the main results contained in the works of the former students of Ireneo Peral.
Abdellaoui Boumediene +9 more
doaj +1 more source
Singular limit of solutions of some degenerate parabolic equations.
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Hui, Kin Ming
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Dipoles and Similarity Solutions of the Thin Film Equation in the Half-Line
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
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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
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A degenerate migration-consumption model in domains of arbitrary dimension
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
. 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
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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]
Bögelein V, Dietrich N, Vestberg M.
europepmc +1 more source
Gevrey Regularity and Local Well-Posedness for the HirotaSatsuma System
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
A vanishing dynamic capillarity limit equation with discontinuous flux. [PDF]
Graf M +3 more
europepmc +1 more source

