搜索结果: 16-30 共查到“数学 Well-Posedness”相关记录30条 . 查询时间(0.044 秒)
The Hirota τ-function and well-posedness of the KdV equation with an arbitrary step like initial profile decaying on the right half line
Korteweg-de Vries equation inverse scattering transform Schr ¨odinger operator
2011/3/1
We are concerned with the Cauchy problem for the KdV equation on the whole line with an initial profile V0 which is decaying sufficiently fast at +¥ and arbitrarily enough (i.e., no decay or patte...
The local well-posedness for Gross-Pitaevskii hierarchies
The local well-posedness Gross-Pitaevskii hierarchies
2010/11/24
We consider the Cauchy problem for the Gross-Pitaevskii infinite linear hierarchy of equations on $\mathbb{R}^n.$ By introducing a quasi-norm in certain Sobolev type spaces of sequences of marginal d...
We consider the Cauchy problem of the fifth order KdV equation with low regularity initial data. We cannot apply the iteration argument to this problem when initial data is given in the Sobolev space...
Global well-posedness and scattering for the defocusing cubic NLS in four dimensions
Global well-posedness scattering the defocusing cubic NLS
2010/11/11
In this short note we present a new proof of the global well-posedness and scattering result for the defocusing energy-critical NLS in four space dimensions obtained previously by Ryckman and Visan. ...
Low regularity well-posedness for the 3D Klein-Gordon-Schrödinger system
the 3D Klein-Gordon-Schrö dinger system math
2010/11/19
The Klein-Gordon-Schr\"odinger system in 3D is shown to be locally well-posed for Schr\"odinger data in H^s and wave data in H^{\sigma} \times H^{\sigma -1}, if s > - \frac{1}{4}, \sigma > - \frac{1}...
Non-local PDEs with discrete state-dependent delays: well-posedness in a metric space
Non-local PDEs discrete state-dependent delays metric space
2010/11/17
Partial differential equations with discrete (concentrated) state-dependent delays are studied. The existence and uniqueness of solutions with initial data from a wider linear space is proven first a...
The Hirota τ-function and well-posedness of the KdV equation with an arbitrary step like initial profile decaying on the right half line
Korteweg-de Vries equation inverse scattering transform Schr ¨odinger operator
2010/12/28
We are concerned with the Cauchy problem for the KdV equation on the whole line with an initial profile V0 which is decaying sufficiently fast at +¥ and arbitrarily enough (i.e., no decay or patte...
Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion
Local Global Well-Posedness Aggregation Equations Patlak-Keller-Segel Models Degenerate Diffusion
2010/12/6
Recently, there has been a wide interest in the study of aggregation equations and Patlak-Keller-Segel (PKS) models for chemotaxis with degenerate diffusion. The focus of this paper is the unification...
Local well-posedness and blow up criterion for the Inviscid Boussinesq system in Hölder spaces
inviscid Boussinesq system local well-posedness blow-up criterion
2010/12/9
We prove the local in time existence and a blow up criterion of solution in the H¨older spaces for the inviscid Boussinesq system in RN,N ≥ 2, under the assumptions that the initial
values θ0, u0 ∈ C...
Well-Posedness and Stability of the Periodic Nonlinear Waves Interactions for the Nenney System
Benney system Well-Posedness Stability of periodic traveling waves
2010/11/30
We establish local well-posedness results in weak periodic function spaces for the Cauchy problem of the Benney system. The Sobolev space H1/2 ×L2 is the lowest regularity attained and also we cover t...
The supercritical generalized KdV equation: Global well-posedness in the energy space and below
supercritical generalized KdV equation Global well-posedness energy space and below
2010/12/8
We consider the generalized Korteweg-de Vries (gKdV) equation @tu + @3 xu + μ@x(uk+1) = 0, where k ≥ 5 is an integer number and μ = ±1.In the focusing case (μ = 1), we show that if the initial data u0...
New Concepts of Well-Posedness for Optimization Problems with Variational Inequality Constraint
Variational Inequalities Minimum Problems Set-Valued Functions Well-Posedness Monotonicity Hemicontinuity
2008/6/30
In this note we present a new concept of well-posedness for Optimization Problems with constraints described by parametric Variational Inequalities or parametric Minimum Problems. We investigate some ...
Well-posedness of initial value problem for Schrodinger-Boussinesq system
SchrÄ odinger-Boussinesq system initial value problem well-posedness.
2018/4/20
we study the well-posedness of the initial value problem for the chrÄodinger-Boussinesq system. By exploiting the Strichartz estimates for the linear SchrÄodinger operator, we establish the ...
Linearization Ill-Posedness for 2.5-D Wave Equation Inversion Model
Linearization inversion integral geometry
2007/12/11
0}, we consider the inverse problem of determining the density function p(x, y). The inversion input for our inverse problem is the wave field given on a line. We get an integral equation for the 2-D ...
Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D
Nonlinear Fokker-Planck equations Navier-Stokes equations Smoluchowski equation micro-macro interactions
2014/4/4
We prove global existence for a nonlinear Smoluchowski equation (a nonlinear FokkerPlanck equation) coupled with Navier-Stokes equations in 2d. The proof uses a deteriorating regularity estimate in th...