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Gordon Research Conference on Flow & Transport in Permeable Media
biology computational mathematics,
2016/7/20
The application deadline for this meeting was July 3, 2016. You may still submit an application, which may be considered by the conference chair if there is still room available.
FLAME PROPAGATION IN ONE-DIMENSIONAL STATIONARY ERGODIC MEDIA
FLAME PROPAGATION ONE-DIMENSIONAL STATIONARY MEDIA
2015/10/15
This paper investigates front propagation in random media for a free boundary problem arising in combustion theory. We show the existence of asymptotic travelling waves solutions with effective speedd...
Homogenization of a Hele-Shaw problem in periodic and random media
Free boundary problem Hele-Shaw equation Obstacle problem Viscosity solution Homogenization
2015/10/15
We investigate the homogenization limit of a free boundary problem with space-dependent free boundaryvelocities. The problem under consideration has a well-known obstacle problem transformation, forma...
Homogenization of one-phase Stefan-type problems in periodic and random media
one-phase Stefan-type periodic random
2015/10/15
We investigate the homogenization of Stefan-type problems with oscillating diffusion coefficients. Both cases of periodic and random (stationary ergodic) medium are considered. The proof relies on the...
Time splitting for wave equations in random media
Time splitting wave equations random media
2015/7/14
Numerical simulation of high frequency waves in highly heterogeneous media is a challenging problem. Resolving the fine structure of the wave field typically requires extremely small time steps and sp...
We analyze the refocusing properties of time reversed waves that propagate in two different media during the forward and backward stages of a time-reversal experiment. We consider two regimes of wave ...
Traveling fronts in porous media: existence and a singular limit
Traveling fronts porous media existence singular limit
2015/7/14
We consider a model for the propagation of a subsonic detonation wave through a porous medium introduced by Sivashinsky [8]. We show that it admits travelling wave solutions that converge in the limit...
Wave field correlations in weakly mismatched random media
Wave field correlations weakly mismatched random media
2015/7/14
This paper concerns the derivation of a Fokker-Planck equation for the correlation of two high frequency wave fields propagating in two different random media. The mismatch between therandom media nee...
KPP invasions in periodic media:lecture notes for the Toulouse KPP school
KPP invasions periodic media Toulouse KPP
2015/7/14
KPP invasions in periodic media:lecture notes for the Toulouse KPP school.
Waves in weakly random media:lecture notes for the Vienna Inverse Problems school
weakly random media Vienna Inverse Problems
2015/7/14
Wave propagation in complex media is an ubiquitous phenomenon–applications include light propagation through the atmosphere, underwater acoustic, tomography, and innumerable other ones. These problems...
Precursors for Waves in Random Media
Parabolic approximation random media precursor O’Doherty-Anstey approximation
2015/7/14
We consider scattering of a pulse propagating through a three-dimensional random media and study the shape of the pulse in the parabolic approximation. We show that, similarly to the one-dimensional O...
Accuracy and efficiency in computing electrostatic potential for an ion channel model in layered dielectric/electrolyte media
Poisson-Boltzmann equation layered electrolytes and dielectrics
2014/9/26
This paper will investigate the numerical accuracy and efficiency in computing the
electrostatic potential for a finite-height cylinder, used in an explicit/implicit hy-brid solvation model for ion c...
Plane Stagnation Double-Diffusive MHD Convective Flow with Convective Boundary Condition in a Porous Media
Plane Stagnation Double-Diffusive MHD Convective Flow and Porous Media
2013/1/30
A numerical analysis has been carried out to study the problem of plane stagnation double-diffusive MHD convective flow with convective boundary condition in a porous media. The governing nonlinear pa...
Asymptotic behavior for the heat equation in nonhomogeneous media with critical density
heat equation non-homogeneous media singular density asymptotic behavior radially symmetric solutions
2012/6/21
We study the asymptotic behavior of solutions to the heat equation in nonhomogeneous media with critical singular density $$ |x|^{-2}\partial_{t}u=\Delta u, \quad \hbox{in} \ \real^N\times(0,\infty). ...
Solitary and periodic wave solutions in quadratic nonlinear media
solitary waves periodic waves the theory of dynamical systems
2011/10/20
By using the theory of dynamical systems, solitary and periodic wave solutions for a coupled quadratic nonlinear system are studied.