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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Homogenization of a front propagation model in dynamic environments
动态环境 前端传播模型 均质化 一阶哈密尔顿-雅可比方程
2023/4/18
In this talk I will review the developments of homogenization theory for a front propagation model. It is described by a first order Hamilton-Jacobi equation with a Hamiltonian that grows linearly wit...
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...
MAP SOURCE SEPARATION USING BELIEF PROPAGATION NETWORKS
MAP SOURCE SEPARATION BELIEF PROPAGATION NETWORKS
2015/9/29
In this paper we continue our treatment of source separation based on dynamic sparse source signal models. Source signals are modeled in frequency domain as a product of a Bernoulli selection variable...
Analysis of Belief Propagation for Non-Linear Problems: The Example of CDMA (or: How to Prove Tanaka’s Formula)
Binary signal and white gaussian noise spread sequence scheme of linear time
2015/8/21
We consider the CDMA (code-division multipleaccess) multi-user detection problem for binary signals and additive white gaussian noise. We propose a spreading sequences scheme based on random sparse si...
SWEEPING PRECONDITIONERS FOR ELASTIC WAVE PROPAGATION WITH SPECTRAL ELEMENT METHODS
Elastic wave seismic wave time-harmonic frequency domain spectral elements parallel preconditioner iterative solver sparse-direct perfectly matched layers full waveform inversion
2015/7/14
We present a parallel preconditioning method for the iterative solution of the time-harmonicelastic wave equation which makes use of higher-order spectral elements to reduce pollution error. In partic...
Quenching and propagation in KPP reaction-diffusion equations with a heat loss
Quenching and propagation KPP reaction-diffusion equations heat loss
2015/7/14
We consider a reaction-diffusion system of the KPP type in a shear flow and with a non-zeroheat loss parameter. We establish criteria for the flame blow-off and propagation, and identify the propagati...
Bounds on the speed of propagation of the KPP fronts in a cellular flow
propagation KPP fronts cellular flow
2015/7/14
We consider a reaction-diffusion-advection equation with a nonlinearity of the KPP type in a cellular flow. We show that the minimal pulsating traveling front speed c∗(A) in a flow ofamplitude A...
Propagation and quenching in a reactive Burgers-Boussinesq system
Propagation quenching Burgers-Boussinesq system
2015/7/14
We investigate the qualitative behavior of solutions of a Burgers-Boussinesq system – a reaction-diffusion equation coupled via gravity to a Burgers equation – by a combination of numerical, asymptoti...
Extending cutoff resolvent estimates via propagation of singularities
cutoff resolvent estimates propagation of singularities Analysis of PDEs
2011/9/9
Abstract: We use a gluing method developed in joint work with Andr\'as Vasy to show that polynomially bounded cutoff resolvent estimates at the real axis imply, up to a constant factor, the same estim...
Approximate Propagation of both Epistemic and Aleatory Uncertainty through Dynamic Systems
Uncertainty Propagation Epistemic Uncertainty Aleatory Uncertainty Dempster-Shafer Moment Evolution
2011/9/29
Abstract: When ignorance due to the lack of knowledge, modeled as epistemic uncertainty using Dempster-Shafer structures on closed intervals, is present in the model parameters, a new uncertainty prop...
Approximate Interval Method for Epistemic Uncertainty Propagation using Polynomial Chaos and Evidence Theory
Approximate Interval Method Epistemic Uncertainty Propagation Evidence Theory
2011/9/29
Abstract: The paper builds upon a recent approach to find the approximate bounds of a real function using Polynomial Chaos expansions. Given a function of random variables with compact support probabi...
Decision Based Uncertainty Propagation Using Adaptive Gaussian Mixtures
Adaptive Gaussian Sum Decision Making Uncertainty Propagation Expected Loss
2011/9/29
Abstract: Given a decision process based on the approximate probability density function returned by a data assimilation algorithm, an interaction level between the decision making level and the data ...
Semianalytic theory of self-similar optical propagation and mode locking using a shape-adaptive model pulse
adaptive model pulse Semianalytic theory self-similar optical propagation mode locking
2011/7/7
A semianalytic theory for the pulse dynamics in similariton amplifiers and lasers is presented, based on a model pulse with adaptive shape. By changing a single parameter, this test function can be co...
Random Noise and Pole-Dynamics in Unstable Front Propagation II
Random Noise Pole-Dynamics Propagation analytic tool
2011/7/5
The current paper is a corrected version of our previous paper [1]. Similarly to previous version
we investigate the problem of flame propagation. This problem is studied as an example of unstable
f...
Time domain numerical modeling of wave propagation in 2D heterogeneous porous media
porous media elastic waves Biot’s model time splitting
2011/3/2
This paper deals with the numerical modeling of wave propagation in porous media described by Biot’s theory. The viscous efforts between the fluid and the elastic skeleton are assumed to be a linear f...