Results 41 to 50 of about 1,215 (98)

Analysis of Free Boundaries for Convertible Bonds, with a call feature

, 2013
Convertible bonds give rise to the so-called free boundary; i.e., an unknown boundary between continuation and conversion regions of the bond. The characteristic feature of such a bond, with an extra call feature, is that the free boundary may reach all ...
Sajadini, Sadna
core   +1 more source

The asymptotic behavior for the Navier-Stokes-Voigt-Brinkman-Forchheimer equations with memory and Tresca friction in a thin domain

Demonstratio Mathematica
In this article, we investigate the behavior of weak solutions for the three-dimensional Navier-Stokes-Voigt-Brinkman-Forchheimer fluid model with memory and Tresca friction law within a thin domain. We analyze the asymptotic behavior as one dimension of
Dilmi Mohamed, Djenaihi Youcef, Dilmi Mourad, Boulaaras Salah, Benseridi Hamid   +4 more
doaj   +1 more source

Hele-Shaw flow on weakly hyperbolic surfaces

, 2004
We consider the Hele-Shaw flow that arises from injection of two-dimensional fluid into a point of a curved surface. The resulting fluid domains have and are more or less determined implicitly by a mean value property for harmonic functions.
Hedenmalm, Haakan, Olofsson, Anders
core   +1 more source

Global well-posedness for the dynamical Q-tensor model of liquid crystals

, 2015
In this paper, we consider a complex fluid modeling nematic liquid crystal flows, which is described by a system coupling Navier-Stokes equations with a parabolic Q-tensor system.
Ding, Shijin, Huang, Jinrui
core   +1 more source

A Note on Bifurcation of Equilibrium Forms of a Gas Balloon Parachute

Annales Mathematicae Silesianae
We will be concerned with deformations of a free elastic top rim of a parachute of a gas balloon. The top rim is connected with the circular deflation port of the balloon envelope by heavy duty flexible load tapes.
Zgorzelska Anita, Guze Hanna
doaj   +1 more source

Near Field Asymptotic Behavior for the Porous Medium Equation on the Half-Line

Advanced Nonlinear Studies, 2017
Kamin and Vázquez [11] proved in 1991 that solutions to the Cauchy–Dirichlet problem for the porous medium equation ut=(um)x⁢x${u_{t}=(u^{m})_{xx}}$, m>1${m>1}$, on the half-line with zero boundary data and nonnegative compactly supported integrable ...
Cortázar Carmen, Quirós Fernando, Wolanski Noemi   +2 more
doaj   +1 more source

Variational problems in fracture mechanics

, 2006
We present some recent existence results for the variational model of crack growth in brittle materials proposed by Francfort and Marigo in 1998. These results, obtained in collaboration with Francfort and Toader, cover the case of arbitrary space ...
Maso, Gianni Dal
core   +1 more source

A minimization problem with free boundary for p-Laplacian weakly coupled system

Advances in Nonlinear Analysis
In this article, we consider a weakly coupled pp-Laplacian system of a Bernoulli-type free boundary problem, through minimization of a corresponding functional. We prove various properties of any local minimizer and the corresponding free boundary.
Fotouhi Morteza, Shahgholian Henrik
doaj   +1 more source

An obstacle approach to rate-independent droplet evolution

Forum of Mathematics, Sigma
We consider a toy model of rate-independent droplet motion on a surface with contact angle hysteresis based on the one-phase Bernoulli free boundary problem. We introduce a notion of solutions based on an obstacle problem.
William M. Feldman, Inwon C. Kim, Norbert Požár   +2 more
doaj   +1 more source

Well-posedness for physical vacuum free boundary problem of compressible Euler equations with time-dependent damping

Advances in Nonlinear Analysis
In this article, we consider the well-posedness of the local smooth solutions to the physical vacuum free boundary problem of the cylindrical symmetric Euler equations with time-dependent damping −μ(1+t)λρu-\frac{\mu }{{(1+t)}^{\lambda }}\rho {\bf{u}}, μ>
Li Haitong, Mai La-Su, Wang Shiyu
doaj   +1 more source