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Deep bed filtration model for cake filtration and erosion
《Applied Mathematics and Mechanics(English Edition)》2024年第2期355-372,共18页L.I.KUZMINA Y.V.OSIPOV A.R.PESTEREV 
Many phenomena in nature and technology are associated with the filtration of suspensions and colloids in porous media. Two main types of particle deposition,namely, cake filtration at the inlet and deep bed filtratio...
关键词:deep bed filtration cake filtration porous medium particle deposition and erosion analytical solution concentration front 
Numerical simulation based on two-directional freeze and thaw algorithm for thermal diffusion model被引量:5
《Applied Mathematics and Mechanics(English Edition)》2016年第11期1467-1478,共12页Junqiang GAO Zhenghui XIE Aiwen WANG Zhendong LUO 
Project supported by the National Natural Science Foundation of China(Nos.41575096 and91125016);the Strategic Priority Research Program of the Chinese Academy of Sciences(No.XDA05110102)
Freeze-thaw processes significantly modulate hydraulic and thermal char- acteristics of soil. The changes in the frost and thaw fronts (FTFs) affect the water and energy cycles between the land surface and the atmos...
关键词:freeze and thaw algorithm frost and thaw front (FTF) sensitivity test thermal diffusion equation 
Symbolic dynamics of Belykh-type maps
《Applied Mathematics and Mechanics(English Edition)》2016年第5期671-682,共12页Denghui LI Jianhua XIE 
Project supported by the National Natural Science Foundation of China(Nos.11172246 and 11572263)
The symbolic dynamics of a Belykh-type map (a two-dimensional discon- tinuous piecewise linear map) is investigated. The admissibility condition for symbol sequences named the pruning front conjecture is proved unde...
关键词:discontinuous piecewise linear map symbolic dynamics pruning front primary pruned region HORSESHOE 
Multi-front waves for extended form of modified Kadomtsev-Petviashvili equation被引量:1
《Applied Mathematics and Mechanics(English Edition)》2011年第7期875-880,共6页A.M.WAZWAZ 
An extended form of the modified Kadomtsev-Petviashvili (mKP) equation is investigated. The simplified form of the Hirota bilinear method established by Hereman and Nuseir is employed. Multi-front wave solutions are...
关键词:modified Kadomtsev-Petviashvili (mKP) equation extended mKP multi-front wave 
Wavefront solutions in diffusive Nicholson’s blowflies equation with nonlocal delay
《Applied Mathematics and Mechanics(English Edition)》2010年第3期385-392,共8页张存华 颜向平 
Project supported by the National Natural Science Foundation of China (No. 10961017);the"Qing Lan" Talent Engineering Funds of Lanzhou Jiaotong University (No. QL-05-20A)
This paper is concerned with the diffusive Nicholson's blowflies equation with nonlocal delay incorporated as an integral convolution over the entire past time up to now and the whole one-dimensional spatial domain R...
关键词:diffusive Nicholson's blowflies equation nonlocal delay strong generic kernel travelling wavefront solution 
INTERACTION OF A SOLITARY WAVE AND A FRONT STEP SIMULATED BY LEVEL SET METHOD
《Applied Mathematics and Mechanics(English Edition)》2000年第7期761-766,共6页谢伟松 陶建华 
theNationalNaturalScienceFoundationofChina! (1 9772 0 3 1 )
As a new method, the Level Set method had been developed to compute the interface of two-phase flow. The basic mathematical theory and the detailed method to solve the free surface hydrodynamic problem had been invest...
关键词:Level Set method distance function solitary wave front step 
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