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Initial-irregular oblique derivative problem for nonlinear parabolic equations of second order in multiply connected domains
Initial-irregular oblique derivative problem nonlinear parabolic equa-tions multiply connected domains
2014/9/26
n this article, we discuss that an initial-irregular oblique derivative problem for non-linear uniformly parabolic complex equation of second order
A0
u
zˉ z −Re[Quzz+A1
u
z
]−A2
u&...
The approximate method of irregular oblique derivative problem for nonlinear elliptic equa-tions in multiply connected infinite domains
Approximate method irregular oblique derivative problem nonlinear elliptic equations multiply connected infinite domains
2014/9/26
n this article, we discuss the approximate method of solving irregular
oblique derivative problem for nonlinear uniformly elliptic equation of second order
u
z1 z =F(z; u; u
z
; u
zz
) in D; (0...
Exponential instability in the inverse scattering problem on the energy interval
Exponential instability inverse energy interval
2011/2/28
We consider the inverse scattering problem on the energy interval in three dimensions.We are focused on stability and instability questions for this problem. In particular,we prove an exponential inst...
Brouwer's problem on a heavy particle in a rotating vessel: wave propagation, ion traps, and rotor dynamics
Rotating saddle Quadrupole trap Crystal optics Rotor dynamics Stokes waves
2011/1/18
In 1918 Brouwer considered stability of a heavy particle in a rotating vessel. This was the first demon-stration of a rotating saddle trap which is a mechanical analogue for quadrupole particle traps ...
Perfect transmission scattering as a PT-symmetric spectral problem
Perfect transmission scattering PT-symmetric spectral problem
2010/11/23
We establish that a perfect-transmission scattering problem can be described by a class of parity and time reversal symmetric operators and hereby we provide a scenario for understanding and implemen...
We revisit the damped string equation on a compact interval with a variety of boundary conditions and derive an infinite sequence of trace formulas associated with it, employing methods familiar from ...
The Problem of Modeling of Economic Dynamics (new version)
Economic Dynamics exponential growth
2010/4/27
The correctness of Harrods model in the differential form is studied. The inadequacy of exponential growth of economy is shown; an alternative result is obtained. By example of Phillips model, an appr...
A braid is called quasipositive if it is a product of conjugates of standard generators of the braid group. We present an algorithm deciding if a given braid with three strings is quasipositive or not...
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...
Positive Solutions for Eigenvalue Problem with Time Scales
time scales positive solution eigenvalues fixed points
2012/9/28
By exploring the values of the eigenvalue ル , this paper deals with the existence and nonexistence of positive solution for the following three-point boundary value problem with time scales: () () (, ...
Notes on Neumann Problem for Schrodinger Operators in Weighted Lipschitz Domains
Schrodinger equation Neumann problem weighted Lipschitz domains
2012/9/27
Let Ω be a bounded Lipschitz domain in ,nRn≥3 . Let 0()QQQααω =|− |, where 0Q is a fixed point on Ω∂ . For Schrödinger equation 0 uVu −Δ+ = in Ω , with singular non-neg...
Rayleigh Number in a Stability Problem for a Micropolar Fluid
Fourier series methods micropolar fluid thermal convection Rayleigh number
2010/2/26
Approximate numerical evaluations of the Rayleigh number are obtained for a stability problem of thermal convection in a heat-conducting micropolar fluid layer between two rigid boundaries [7]. The in...
Representing Systems of Exponentials and Projection on Initial Data in the Cauchy Problem
Cauchy Problem Exponentials Initial Data
2010/3/1
The Cauchy problem for the equation \begin{equation} Mw\equiv \sumj=0m\sums=0ljas,j\frac{\partials+jw(z1,z2)}{\partial z1s\partial z2j}=0 \end{equation} \begin{equation} \frac{\partialnw(z1,z2)}{\part...
In this paper, the residue method of separation of variables is applied to a mixed problem which includes the flow of a stratified compresslble fluid and inner gravitational waves of a stratified inco...