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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
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
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
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...