Improved quality of life in patients with refractory or recidivant ascites after insertion of transjugular intrahepatic portosystemic shunts [PDF]
Background. We have recently shown that the transjugular intrahepatic portosystemic shunt (TIPS) is more effective than paracentesis in the treatment of cirrhotic patients with severe ascites and can prolong survival in selected patients.
Bilzer, M. +5 more
core +1 more source
Bubble concentration on spheres for supercritical elliptic problems [PDF]
We consider the supercritical Lane-Emden problem $$(P_\eps)\qquad -\Delta v= |v|^{p_\eps-1} v \ \hbox{in}\ \mathcal{A} ,\quad u=0\ \hbox{on}\ \partial\mathcal{A} $$ where $\mathcal A$ is an annulus in $\rr^{2m},$ $m\ge2$ and $p_\eps={(m+1)+2\over(m+1)
A Bahri +15 more
core +1 more source
Controlled Drug Release Asymptotics [PDF]
The solution of Higushi's model for controlled release of drugs is examined when the solubility of the drug in the polymer matrix is a prescribed function of time. A time-dependent solubility results either from an external control or from a change in pH
Cohen, Donald S., Erneux, Thomas
core +1 more source
Moderately close Neumann inclusions for the Poisson equation [PDF]
open2siWe investigate the behavior of the solution of a mixed problem for the Poisson equation in a domain with two moderately close holes. If ϱ1 and ϱ2 are two positive parameters, we define a perforated domain Ω(ϱ1,ϱ2) by making two small perforations ...
core +1 more source
An Unusual Moving Boundary Condition Arising in Anomalous Diffusion Problems [PDF]
In the context of analyzing a new model for nonlinear diffusion in polymers, an unusual condition appears at the moving interface between the glassy and rubbery phases of the polymer.
Cohen, D. S., Edwards, D. A.
core +1 more source
Derivation of a Hele-Shaw type system from a cell model with active motion [PDF]
We formulate a Hele-Shaw type free boundary problem for a tumor growing under the combined effects of pressure forces, cell multiplication and active motion, the latter being the novelty of the present paper.
Perthame, Benoît +3 more
core +5 more sources
Oscillatory and periodic solutions to a diffusion equation of neutral type
We examine a PDE with piecewise constant time delay. The equation is of neutral type since it contains the derivative ut at different values of the t‐argument. Furthermore, the argument deviation changes its sign within intervals of unit length, so that the given PDE is alternately of retarded and advanced type.
Joseph Wiener, William Heller
wiley +1 more source
Singularly perturbed telegraph equations with applications in the random walk theory
In the paper we analyze singularly perturbed telegraph systems applying the newly developed compressed asymptotic method and show that the diffusion equation is an asymptotic limit of singularly perturbed telegraph system of equations. The results are applied to the random walk theory for which the relationship between correlated and uncorrelated ...
Jacek Banasiak, Janusz R. Mika
wiley +1 more source
Fractional parabolic problems with a nonlocal initial condition
In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the ...
Abdellaoui B. +2 more
doaj +1 more source
Boundary value problems for the diffusion equation with piecewise continuous time delay
A study is made of partial differential equations with piecewise constant arguments. Boundary value problems for three types of equations are discussed delayed; alternately of advanced and retarded type; and most importantly, an equation of neutral type (that is, including the derivative at different values of time t).
Joseph Wiener, Lokenath Debnath
wiley +1 more source

