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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Uniqueness of BV Solution for Compressible Euler Equations
可压缩 欧拉方程 BV解 唯一性
2023/4/17
Compressible Euler equations are a typical system of hyperbolic conservation laws, whose solution forms shock waves in general. It is well known that global BV solutions of system of hyperbolic conser...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stokes phenomenon and isomonodromy deformation equations: Explicit solution to the Riemann-Hilbert problem and integrability of the isomonodromy equation
斯托克斯现象 等单向变形方程 黎曼-希尔伯特问题 显式解 单场方程 可积性
2023/5/6
Stokes phenomenon states that the asymptotic behavior of functions can differ in different regions of the complex plane, and that these differences can be described in a quantitative way. These quanti...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stokes phenomenon and isomonodromy deformation equations: An introduction
斯托克斯现象 等单向变形方程 斯托克斯矩阵
2023/5/6
Stokes phenomenon states that the asymptotic behavior of functions can differ in different regions of the complex plane, and that these differences can be described in a quantitative way. These quanti...
The Embedded Boundary Integral Method (EBI) for the Incompressible Navier-Stokes equations
Embedded Boundary Integral Method (EBI) Incompressible Navier Stokes equations
2015/7/15
We present a new method for the solution of the unsteady incompressible Navier-Stokes equations. Our goal is to achieve a robust and scalable methodology for two and three dimensional incompressible f...
Random Attractors for Stochastic Wave Equations with Critical Exponents on Rn
Stochastic Wave Equations Random Attractors
2015/4/3
Outline
• Stochastic wave equations on Rn.
• Random attractors theory.
• Random absorbing sets for wave equations.
• Pullback asymptotic compactness.
• Existence of ...
Oblique Derivative Problem for Generalized Lavrent 0 ev-Bitsadze Equations
Existence and uniqueness of solutions oblique derivative problem
2014/9/26
In this article, we first give the representation of solutions for the oblique
derivative boundary value problem of generalized Lavrent
0
ev-Bitsadze equations including
the Lavrent
0
ev-Bitsadz...
A device adaptive in ow boundary condition for Wigner equations of quantum transport
Frensley in ow boundary condition Wigner function Resonant tunneling diode
2014/9/26
In this paper, an improved in
ow boundary condition is proposed for Wigner equa-tions in simulating a resonant tunneling diode (RTD), which takes into consideration
the band structure of the device....
The oblique derivative problem for nonlinear elliptic complex equations of second order in multiply connected unbounded domains
Oblique derivative problem nonlinear elliptic complex equations multiply connected unbounded domains
2014/9/26
In this article, we discuss that an oblique derivative boundary value problem for
nonlinear uniformly elliptic complex equation of second order
wz1z=F(z; w; w
z
;wz; w
zz
;wzz)+G(z; w; ; w
z
;...
Initial-oblique derivative boundary value problem for nonlinear parabolic equations of second order
Initial-oblique derivative problem, nonlinear parabolic complex equations multiply connected domains
2014/9/26
In this article, we discuss that an initial-oblique derivative boundary value
problem for nonlinear uniformly parabolic complex equation of second order
A0
u
z1z¡Re[Quzz+A1
u
z
]¡
^
...
High Order Moment Closure with Global Hyperbolicity of Vlasov-Maxwell Equations
Moment closure Vlasov-Maxwell equation Boltzmann equation Ex-tended magnetohydrodynamics
2014/9/26
In this paper, we derive the extended magnetohydrodynamic models based on the
moment closure of the Vlasov-Maxwell equation. We adopt the Grad type moment
expansion which was firstly proposed in [12...
Accelerated solution of the frequency-domain Maxwell’s equations by engineering the eigenvalue distribution of the operator
Numerical approximation analysis Mathematical methods physics Mathematics
2015/8/7
We introduce a simple method to accelerate the convergence of iterative solvers of the frequency-domain Maxwell’s equations for deep-subwavelength structures. Using the continuity equation, the method...
Analysis of semidiscretization of the compressible Navier-Stokes equations
Navier-Stokes equations barotropic compressible viscous fluid weak solution
2010/12/7
The objective of this work is to present the existence result of for the nonsteady compressible Navier-Stokes equations via time discretization. We consider the two-dimensional case with a slip bounda...
Solution of the Cauchy problem for the Navier - Stokes and Euler equations
Solution Cauchy problem the Navier - Stokes Euler equations
2010/12/3
Some known results regarding the Euler and Navier-Stokes equations were obtained by different authors.Existence and smoothness of the Navier-Stokes solutions in two dimensions have been known for a lo...
Functional equations for transfer-matrix operators in open Hecke chain models
Functional equations transfer-matrix operators open Hecke chain models
2010/4/6
We consider integrable open chain models formulated in terms of generators of affine Hecke algebras. The hierarchy of commutative elements (which are analogs of the commutative transfer-matrices) are ...
Bilinear Equations and Bäcklund Transformation for Generalized Ultradiscrete Soliton Solution
Bilinear Equations Bä cklund Transformation Generalized Ultradiscrete Soliton Solution
2010/4/2
Ultradiscrete soliton equations and B\"acklund transformation for a generalized soliton solution are presented. The equations include the ultradiscrete KdV equation or the ultradiscrete Toda equation ...