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2017年SIAM偏微分方程分析会议（SIAM Conference on Analysis of Partial Differential Equations）
2017年 SIAM偏微分方程分析 会议
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2017/11/24
The primary goal of this conference is to bring together scientists and mathematicians working in partial differential equations and related fields. Contemporary challenges raised by recent advances i...
International Conference “Analysis and PDEs on Manifolds”
International Conference Analysis and PDEs on Manifolds
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2017/7/5
This conference is organized jointly by Nankai University and University of Bielefeld (Germany). We would like to attract to the conference experts working on different aspects of PDEs on manifo...
Analysis of a Non-linear Partial Difference Equation, and Its Application to Cardiac Dynamics
Partial difference equation Non-linear Cardiac dynamics Singular perturbation method Spatial bifurcations
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2015/8/27
A model of a strip of cardiac tissue consisting of a one-dimensional chain of cardiac units is derived in the form of a non-linear partial difference equation. Perturbation analysis is performed on th...
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
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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...
Convergence of approximate deconvolution models to the mean Magnetohydrodynamics Equations: Analysis of two models
Magnetohydrodynamics Large Eddy Simulation Deconvolution models
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2012/6/27
We consider two Large Eddy Simulation (LES) models for the approximation of large scales of the equations of Magnetohydrodynamics (MHD in the sequel). We study two $\alpha$-models, which are obtained ...
Analysis of the Brinkman-Forchheimer equations with slip boundary conditions
Brinkman-Forchheimer equations Slip boundary conditions Weak solutions Continuous dependence
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2012/2/29
In this work, we study the Brinkman-Forchheimer equations driven under slip boundary conditions of friction type. We prove the existence and uniqueness of weak solutions by means of regularization com...
Symmetry group analysis and an optimal system
Benjamin-Bona-Mahoney equation symmetry group optimal systerm reduction equation
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2011/10/17
In this paper，Smmetry group properties of Benjamin-Bona-Mahoney equation are analyzed.The symmetries and adjoint representations for this equation are given.Second,an optimal system of one-dimensional...
Fluid accumulation in thin-film flows driven by surface tension and gravity (I): Rigorous analysis of a drainage equation
Fluid accumulation surface tension and gravity drainage equation
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2011/9/23
Abstract: We derive a boundary layer equation describing accumulation regions within a thin-film approximation framework where gravity and surface tension balance. As part of the analysis of this prob...
Analysis of the Leray-α model with Navier slip boundary condition
turbulence model existence weak solution
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2011/9/22
Abstract: In this paper, we establish the existence and the regularity of a unique weak solution to turbulent flows in a bounded domain ${\Omega}\subset \mathbb R^3$ governed by the so-called Leray-{\...
Consistency Analysis of Finite Difference Approximations to PDE Systems
systems of partial differential equations involution Thomas decomposition finite difference approximations consistency
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2011/9/16
Abstract: In the given paper we consider finite difference approximations to systems of polynomially-nonlinear partial differential equations whose coefficients are rational functions over rationals i...
Solvability and asymptotic analysis of a generalization of the Caginalp phase field system
phase field model well-posedness regularity asymptotic behaviour error estimates
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2011/9/15
Abstract: We study a diffusion model of phase field type, which consists of a system of two partial differential equations involving as variables the thermal displacement, that is basically the time i...
Mathematical analysis of successive linear approximation for Mooney-Rivlin material model in finite elasticity
Linearized constitutive equations Mooney-Rivlin material Relative descriptional formulation Existence and uniqueness
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2011/9/6
Abstract: For calculating large deformations in finite elasticity, we have proposed a method of successive linear approximation, by considering the relative descriptional formulation. In this article ...
Bose-Einstein condensates in optical lattices: mathematical analysis and analytical approximate formulae
Bose-Einstein condensates stability of ground states analytical approximate formulae repulsive or attractive interatomic interactions
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2011/9/6
Abstract: We show that the Gross-Pitaevskii equation with cubic nonlinearity, as a model to describe the one dimensional Bose-Einstein condensates loaded into a harmonically confined optical lattice, ...
Trace formulas for Schroinger operators from the view point of complex analysis
Schrodinger operators trace formula eigenvalues resonances Spectral Theory
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2011/9/6
Abstract: We consider the Schr{\"o}dinger operator $-\Delta +V(x)$ in $L^2({\bf R}^3)$ with a real short-range (integrable) potential $V$. Using the associated Fredholm determinant, we present new tra...
Barrier methods for critical exponent problems in geometric analysis and mathematical physics
Nonlinear elliptic equations geometric analysis Yamabe problem general relativity
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2011/8/23
Abstract: We consider the design and analysis of numerical methods for approximating positive solutions to nonlinear geometric elliptic partial differential equations containing critical exponents. Th...