# Boundary value problems for the one-dimensional Willmore equation

## Related Articles

- Numerical Solution of a Moving Boundary Problem of One-Dimensional Flow in Semi-Infinite Long Porous Media with Threshold Pressure Gradient. Jun Yao; Wenchao Liu; Zhangxin Chen // Mathematical Problems in Engineering;2013, p1
A numerical method is presented for the solution of a moving boundary problem of one-dimensional flow in semi-infinite long porous mediawith threshold pressure gradient (TPG) for the case of a constant flowrate at the inner boundary. In order to overcome the difficulty in the space...

- POSITIVE NON-SYMMETRIC SOLUTIONS OF A NON-LINEAR BOUNDARY VALUE PROBLEM. Peres, Sáamuel // Electronic Journal of Qualitative Theory of Differential Equatio;12/2/2013, Issue 62-78, p1
This paper deals with a non-linear second order ordinary differential equation with symmetric non-linear boundary conditions, where both of the non-linearities are of power type. It provides results concerning the existence and multiplicity of positive non-symmetric solutions for values of...

- Axisymmetric Swirling Motion of Viscoelastic Fluid Flow Inside a Slender Surface of Revolution. Carapau, Fernando // Engineering Letters;2009, Vol. 17 Issue 4, p238
Motived by the aim of modelling the behavior of swirling flow motion, we present a 1D hierarchical model for an Rivlin-Ericksen fluid with complexity n = 2, flowing in a circular straight tube with constant and no constant radius. Integrating the equation of conservation of linear momentum over...

- ON ASYMPTOTICALLY SYMMETRIC PARABOLIC EQUATIONS. FÖLDES, JURAJ; POLÁČIK, PETER // Networks & Heterogeneous Media;Dec2012, Vol. 7 Issue 4, p673
We consider global bounded solutions of fully nonlinear parabolic equations on bounded reflectionally symmetric domains, under nonhomogeneous Dirichlet boundary condition. We assume that, as t â†’ âˆž, the equation is asymptotically symmetric, the boundary condition is asymptotically...

- Free Molecular Flow with Boundary Effect. Kuo, Hung-Wen; Liu, Tai-Ping; Tsai, Li-Cheng // Communications in Mathematical Physics;Mar2013, Vol. 318 Issue 2, p375
We study the dissipative effect of the boundary condition in the kinetic theory. We focus our study on the simplest situation of the free molecular flow with diffuse reflection boundary condition and constant boundary temperature, T. The geometry is also chosen to be the simplest ones, a bounded...

- Boundary-value problem for a differential-difference mixed-type equation with intersecting degeneration lines. Zarubin, A.; Lashtabega, O. // Journal of Mathematical Sciences;May2011, Vol. 175 Issue 1, p91
For a mixed-type equation with the Lavrent'ev-Bitsadze operator, nonsmooth degeneration line, and delay in the derivative, an analog of the Tricomi problem is considered in a non-symmetric domain.

- Integrable Boundary Value Problem for the Boussinesq Equation. Vil'danov, A. N. // Theoretical & Mathematical Physics;Nov2004, Vol. 141 Issue 2, p1494
We discuss a method for seeking integrable boundary conditions for nonlinear equations. For the Boussinesq equation, we find a new boundary condition that is compatible with the Lax pair and has an infinite set of higher symmetries and a BÃ¤cklund transformation. We construct a class of...

- A uniqueness theorem for a boundary value problem. Kazemi, Manochehr; Naraghi, Hassan; Golshan, Hamid Mottaghi // Proceedings of World Academy of Science: Engineering & Technolog;Aug2008, Vol. 44, p584
We prove the existence of a solution for the nonlinear third-order boundary value problem. the technics used here are Green's function and fixed point theorem in banach space.

- Influence of Boundary Conditions on Sound Radiation Characteristic from Rectangular Plates. Yufeng Qiao; Qibai Huang; Linling Li // Journal of Low Frequency Noise, Vibration & Active Control;Jun2007, Vol. 26 Issue 2, p115
The influence of boundary conditions on the sound radiation characteristic from rectangular plates is studied in this paper. Using an analytical method, the transverse displacement response of vibrating rectangular plates is presented. Some numerical experiments are also done. Five different...