Results 11 to 20 of about 9,189,330 (242)

Free boundary problems with Neuman boundary condition [PDF]

open access: yesElectronic Journal of Differential Equations, 2019
In this work, we study the continuity of a free boundary in a class of elliptic problems, with a Neuman boundary condition. The main idea is to use a change of variable that reduces the problem to the one studied in [16].
Abdeslem Lyaghfouri, Abderachid Saadi
doaj   +3 more sources

One dimensional parabolic free boundary problems [PDF]

open access: yes, 1975
The method of lines is used to approximate explicit and implicit free boundary problems for a linear one dimensional diffusion equation with a sequence of free boundary problems for ordinary differential equations.
Meyer, G H
core   +6 more sources

Finite-difference solutions of tenth-order boundary-value problems [PDF]

open access: yes, 1994
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.In this thesis finite difference methods are used to obtain numerical solutions for a class of high-order ordinary differential equations with applications ...
Siddiqui, Aijaz Ahmad
core   +6 more sources

Regularity of the free boundary in the one-phase Stefan problem: a recent approach

open access: yesBruno Pini Mathematical Analysis Seminar, 2022
In this note, we discuss about the regularity of the free boundary for the solutions of the one-phase Stefan problem. We start by recalling the classical results achieved by I. Athanasopoulos, L. Caffarelli, and S.
Nicolò Forcillo
doaj   +1 more source

An Improved Neural Particle Method for Complex Free Surface Flow Simulation Using Physics-Informed Neural Networks

open access: yesMathematics, 2023
The research on free surface flow is of great interest in fluid mechanics, with the primary task being the tracking and description of the motion of free surfaces.
Kaixuan Shao, Yinghan Wu, Suizi Jia
doaj   +1 more source

Schrödinger-type identity for Schrödinger free boundary problems

open access: yesBoundary Value Problems, 2018
Our aim in this paper is to develop a Schrödinger-type identity for a Schrödinger free boundary problem in Rn $\mathbb{R}^{n}$. As an application, we establish necessary and sufficient conditions for the product of some distributional functions to ...
Xingjian Zhang   +4 more
doaj   +1 more source

On Plateau's Problem with Free Boundaries [PDF]

open access: yesProceedings of the National Academy of Sciences, 1945
Not ...
openaire   +2 more sources

A remark on memory effects in constrained fluid systems [PDF]

open access: yesESAIM: Proceedings and Surveys, 2020
The goal of this note is to put into perspective the recent results obtained on memory effects in partially congested fluid systems of Euler or Navier-Stokes type with former studies on free boundary obstacle problems and Hele-Shaw equations.
Perrin Charlotte
doaj   +1 more source

Trial methods for Bernoulli's free boundary problem [PDF]

open access: yes, 2014
Free boundary problems deal with solving partial differential equations in a domain, a part of whose boundary is unknown – the so-called free boundary. Beside the standard boundary conditions that are needed in order to solve the partial differential ...
Mitrou, Giannoula
core   +1 more source

New Trends in Free Boundary Problems

open access: yesAdvanced Nonlinear Studies, 2017
We present a series of recent results on some new classes of free boundary problems.Differently from the classical literature, the problems considered have either a “nonlocal” feature (e.g., the interaction or/and the interfacial energy may depend on ...
Dipierro Serena   +2 more
doaj   +1 more source

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