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Chao Wang:Inviscid limit of Navier Stokes equations with vortex sheet initial data
涡片 初始数据 纳维斯托克斯方程 无粘极限
2023/4/11
In this talk, I will talk about the inviscid limit of 2-D incompressible Navier-Stokes equations in the whole space with vortex sheet initial data. Although the initial data have different velocities ...
On the semi-classical limit for the focusing nonlinear Schrodinger equation: sensitivity to analytic properties of the initial data
focusing nonlinear Schrodinger equation semiclassical limit non-analyticity
2015/3/19
We present the results of a large number of careful numerical experiments carried out to investigate the way that the solution of the integrable focusing nonlinear Schrodinger equation with - xed ini...
On dyadic nonlocal Schr鰀inger equations with Besov initial data
Schrodinger equation Besov spaces Haar bases Nonlocal derivatives
2012/6/21
In this paper we characterize a dyadic type Besov space as an adequate setting to solve the Schr\"{o}dinger-Dirac type equation $i\tfrac{\partial u}{\partial t}=D^{\beta}u$ with $u(x,0)=u^0$ pointwise...
Cauchy problem of nonlinear Schrodinger equation with initial data in Sobolev space W^{s,p} for p<2
Applied mathematics Cauchy problem nonlinear Schrodinger equation local well-posedness scaling limit
2011/10/15
In this paper, we consider in R^n the Cauchy problem for nonlinear Schrodinger equation with initial data in Sobolev space W^{s,p} for p<2. It is well known that this problem is ill posed. However, We...
Initial data for binary neutron stars with arbitrary spins
Initial data binary neutron stars arbitrary spins
2011/10/18
In general neutron stars in binaries are spinning. Due to the existence of millisecond pulsars we know that these spins can be substantial. We argue that spins with periods on the order a few dozen mi...
The semiclassical limit of focusing NLS for a family of non-analytic initial data
semiclassical limit non-analytic initial data NLS
2011/7/7
The small dispersion limit of the focusing nonlinear Schro\"odinger equation (NLS) exhibits a rich structure of sharply separated regions exhibiting disparate rapid oscillations at microscopic scales....
Energy estimate for initial data on a characteristic cone
Energy estimate initial data characteristic cone
2011/3/2
The Einstein equations in wave map gauge are a geometric second order system for a Lorentzian metric. To study existence of solutions of this hyperbolic quasi diagonal system with initial data on a ch...
Two phase Stefan-type problem: Regularization near initial data by phase dynamics
Two phase Stefan-type problem Regularization initial data phase dynamics
2011/1/18
In this paper we investigate the regularizing behavior of two-phase Stefan problem near initial data. The main step in the analysis is to establish that in any given scale, the scaled solution is very...
Existence of Spherically Symmetric Initial Data with Zero Energy, Unit Mass, and Virial less than - 1/2 for the Relativistic Vlasov-Poisson Equation with Attractive Coupling
Zero Energy Unit Mass
2010/11/19
In a recent paper, Kiessling and Tahvildar-Zadeh proved that any spherically symmetric classical solution of the attractive relativistic Vlasov-Poisson equation launched by sufficiently regular initi...
Non-uniform dependence on initial data for the CH equation on the line
CH equation integrable non-periodic Cauchy problem Sobolev spaces
2010/12/10
For s > 3=2 two sequences of CH solutions living in a bounded set of the Sobolev space Hs(R) are constructed, whose distance at the initial time is converging to zero while at any later time is bounde...
On the zero-dispersion limit of the Benjamin-Ono Cauchy problem for positive initial data
zero-dispersion limit initial data Benjamin-Ono Cauchy
2010/4/2
We study the Cauchy initial-value problem for the Benjamin-Ono equation in the zero-disperion limit, and we establish the existence of this limit in a certain weak sense by developing an appropriate a...
On the dispersionless Kadomtsev-Petviashvili equation in n+1 dimensions: exact solutions, the Cauchy problem for small initial data and wave breaking
Kadomtsev-Petviashvili equation wave breaking n+1 dimensions
2010/4/1
We study the (n+1)-dimensional generalization of the dispersionless Kadomtsev-Petviashvili (dKP) equation, a universal equation describing the propagation of weakly nonlinear, quasi one dimensional wa...
Late-time Kerr tails: generic and non-generic initial data sets,
generic non-generic superposition
2010/3/17
Three interrelated questions concerning Kerr spacetime late-time tails are considered, specifically the evolutions of generic and non-generic initial data sets, the excitation of "up" modes, and the r...
Small deformations of extreme Kerr black hole initial data
extreme Kerr black hole Small deformations
2010/3/17
We prove the existence of a family of initial data for Einstein equations which represent small deformations of the extreme Kerr black hole initial data. The data in this family have the same asymptot...
Life-span of clautions to ssical solhyperbolic geometric flow in two space variables with slow decay initial data
hyperbolic geometric °ow Riemann surface Cauchy problem classical solution life-span
2018/4/20
In this paper we investigate the life-span of classical solutions to the hyperbolic geometric °ow in two space variables with slow decay initial data. By establishing some new estimates on the solutio...