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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the L2 rate of convergence in the limit from the Hartree to the Vlasov–Poisson Equation
哈特里到弗拉索夫 泊松方程 极限 L2收敛率
2023/4/13
We consider the semiclassical limit from the Hartree equation with Coulomb interaction potential to the Vlasov–Poisson equation. Using a new stability estimate for the difference of the square roots o...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability conditions for a free boundary problem of 3-D compressible Euler equations coupled with a nonlinear Poisson equation
三维 可压缩欧拉方程 耦合 非线性泊松方程 自由边界问题 稳定性条件
2023/4/18
In this talk, I will discuss the stability conditions for a free boundary problem of compressible Euler equations coupled with a nonlinear Poisson equation of electric potential. Under those stability...
The Poisson–Nernst–Planck (PNP) equations describe the dynamics of charged particles in an electric field that is also affected by these particles and have been used to model physical systems involvin...
One invariant measure and different Poisson brackets for two nonholonomic systems
Poisson nonholonomic Chaplygin Borisov-Mamaev-Fedorov system
2011/7/5
We discuss the nonholonomic Chaplygin and the Borisov-Mamaev-Fedorov systems, for
which symplectic forms are different deformations of the square root from the corresponding
invariant volume form. I...
Exact Poisson pencils, $\tau$-structures and topological hierarchies
Dubrovin-Zhang’s perturbative integrable evolutionary PDEs
2011/7/5
We discuss, in the framework of Dubrovin-Zhang’s perturbative approach
to integrable evolutionary PDEs in 1+1 dimensions, the role of a special class
of Poisson pencils, called exact Poisson pencils...
Difference equations and cluster algebras I: Poisson bracket for integrable difference equations
Difference equations cluster algebras Poisson bracket for integrable difference equations
2011/2/28
We introduce the cluster algebraic formulation of the integrable difference equations, the discrete Lotka-Volterra equation and the discrete Li-ouville equation, from the view point of the general T-s...
Blowup for the Euler and Euler-Poisson Equations with Repulsive Forces II
Blowup Euler and Euler-Poisson Equations Repulsive Forces II
2011/2/25
In this paper, we continue to study the blowup problem of the N-dimensional compressible
Euler or Euler-Poisson equations with repulsive forces, in radial symmetry. In details, we
extend the recent ...
Concentration on circles for nonlinear Schrödinger-Poisson systems with unbounded potentials vanishing at infinity
Stationary nonlinear Schrö dinger-Poisson system weighted Sobolev spaces
2010/12/6
The present paper is devoted to weighted Nonlinear Schrödinger- Poisson systems with potentials possibly unbounded and vanishing at infinity. Using a purely variational approach, we prove the exi...
A generalized Schrodinger-Poisson type system
Schr ¨odinger-Poisson equations variational methods mountain pass
2010/12/6
In this paper we study the boundary value problem 8>><>>:−u + "qf(u) = |u|p−1u in − = 2qF(u) in u = 0 on @ = 0 on @ where R3 is a smooth bounded domain, 1 < p < 5, " = ±1...
该文得到了三维情形等熵可压Navier-Stokes-Poisson方程局部强解的存在性、唯一性及稳定性. 重要的是,该文允许初始密度真空的存在. 首先用推广形式的Gronwall不等式得到了强解的局部存在性,然后得到了较弱条件下的唯一性,在证明唯一性的同时得到了稳定性.
In this work, we propose an efficient numerical method for computing
the electrostatic interaction between two like-charged spherical
particles which is governed by the nonlinear Poisson-Boltzmann
...
专著信息
书名
Convergence of nonlinear Schr?dinger-Poisson systems to the compressible Euler equations
语种
英文
撰写或编译
作者
第一作者单位
出版社
Commun. in Partial Differential Equations, 28(2003), 1005-1022
出版地
出版日期
2003年...