Some Remarks about a Free Boundary Type Problem

1987 ◽  
pp. 271-280
Author(s):  
Mario Miranda
Keyword(s):  
Free Boundary ◽  
Type Problem ◽  
Boundary Type

scholarly journals Mean curvature flow with free boundary – Type 2 singularities

2020 ◽  
Vol 293 (4) ◽  
pp. 794-813
Author(s):  
Glen Wheeler ◽  
Valentina‐Mira Wheeler
Keyword(s):  
Free Boundary ◽  
Mean Curvature ◽  
Mean Curvature Flow ◽  
Curvature Flow ◽  
Boundary Type

On the existence of hydrodynamic motion in a domain with free boundary type conditions

Meccanica ◽  
1983 ◽  
Vol 18 (3) ◽  
pp. 136-144 ◽  
Author(s):  
Giuseppe Mulone ◽  
Franco Salemi
Keyword(s):  
Free Boundary ◽  
Boundary Type ◽  
Hydrodynamic Motion

scholarly journals Full regularity of the free boundary in a Bernoulli-type problem in two dimensions

2006 ◽  
Vol 13 (4) ◽  
pp. 667-681 ◽  
Author(s):  
Donatella Danielli ◽  
Arshak Petrosyan
Keyword(s):  
Free Boundary ◽  
Two Dimensions ◽  
Type Problem ◽  
Full Regularity

scholarly journals Sign-changing two-peak solutions for an elliptic free boundary problem related to confined plasmas

2018 ◽  
Vol 7 (3) ◽  
pp. 385-405 ◽  
Author(s):  
Giovanni Pisante ◽  
Tonia Ricciardi
Keyword(s):  
Free Boundary ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Level Sets ◽  
Type Problem ◽  
Qualitative Properties ◽  
Confined Plasmas

AbstractBy a perturbative argument, we construct solutions for a plasma-type problem with two opposite-signed sharp peaks at levels 1 and {-\gamma}, respectively, where {0<\gamma<1}. We establish some physically relevant qualitative properties for such solutions, including the connectedness of the level sets and the asymptotic location of the peaks as {\gamma\to 0^{+}}.

A boundary-type approach for the computation of vertical stresses in soil due to arbitrarily shaped foundations

2019 ◽  
Vol 16 (3) ◽  
pp. 419-426
Author(s):  
Husain Jubran Al-Gahtani ◽  
Saheed Kolawole Adekunle
Keyword(s):  
Design Methodology ◽  
Present Approach ◽  
Type Problem ◽  
Content Type ◽  
Multiply Connected ◽  
Engineering Software ◽  
Boundary Type ◽  
Software Packages ◽  
Boussinesq Solution ◽  
High Degree

Purpose This paper aims to present a simple, yet accurate and efficient, formulation for computing the vertical soil stresses due to arbitrarily distributed surface pressures or loads over an arbitrarily shaped area. Design/methodology/approach By leveraging on the strength of Green’s theorem, the present approach is based on the formulation of the classical Boussinesq solution as a boundary-type problem over an arbitrarily shaped simply- or multiply-connected loaded region. The accuracy of the developed formulation was exemplified through a number of illustrative examples, which included both simply- and multiply-connected loaded areas. Findings The results of the test examples presented in this work indicated a high degree of accuracy and flexibility of the developed approach despite its simplicity. Originality/value The main contribution of the present work is the introduction of an efficient meshless approach and an algorithm that can be implemented in few lines of code on any programing platform, as either a stand-alone program or a computational module in larger engineering software packages.

A remark on the two-phase obstacle-type problem for the p-Laplacian

2018 ◽  
Vol 11 (3) ◽  
pp. 325-334 ◽  
Author(s):  
Jun Zheng ◽  
Binhua Feng ◽  
Peihao Zhao
Keyword(s):  
Free Boundary ◽  
Hausdorff Measure ◽  
Type Problem ◽  
Two Phase ◽  
Locally Finite

AbstractIn this paper, we give a remark on the two-phase obstacle-type problem for the p-Laplacian when {1<p<2} and p is close to 2. We prove that the free boundary where the gradient vanishes has locally finite {(n-1)}-Hausdorff measure.

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