Initial data
Parabolic equations with continuous initial data
... continuous initial data by smooth initial data, a solution will exist for the approximate initial ...the initial data as t ->• 0, we will need some displacement ...
132
Mimicking mesh refinement to construct initial data for a binary black hole system
... the initial data on a space like hypersurface, a generalization of the hyperplane, representing the initial time ...The data must satisfy both the momentum constraints and the Hamiltonian ...
73
The Lagrangian averaged Navier-Stokes equations with rough initial data
... In our previous work with initial data in Sobolev spaces, we were able to get a global existence result in the p = 2 case to the LANS equations. This was accomplished via higher regularity energy estimates. ...
136
Initial Data of Digital Correlation ECE with a Giga Hertz Sampling Digitizer
... the initial data in LHD, we can see the detail cross power spectra, however, we need more detail validation of the small fluctuations, for example, the derivation of correlation length is a key to discuss ...
5
Well posedness for the diffusive 3D Burgers equations with initial data in H^1/2
... We now set about proving Theorem 1. The argument will follow the same pattern as the previous section. That is, we will prove that for initial data in H 1/2 there exists T , independent of n, such that the ...
16
Convergence of an Exponential Runge–Kutta Method for Non-smooth Initial Data
... non-smooth initial data have been inferred in ...non-smooth initial data was studied by the authors in ...non-smooth initial data for option ...
16
Solutions to the nonlinear Schrodinger equation with Dirac mass initial data
... mass initial data for several ...for initial data in a weighted Sobolev space ...of initial conditions that converge to a Dirac ...
76
A note on well posedness of semilinear reaction diffusion problem with singular initial data
... of initial data from the Euclidean space to a functional space and the space of bounded functions is one of many possible ...for initial data in much larger spaces then the space of bounded ...
11
Puncture Initial Data and Evolution of Black Hole Binaries with High Speed and High Spin
... constructed initial data using the conformal transverse-traceless decomposition of the Einstein field ...free data are not always clear in their physical ...finding initial data which ...
209
Global solution to the exterior problem for spherically symmetric compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial data
... In this paper, we consider the exterior problem for spherically symmetric isentropic compressible Navier-Stokes equations with density-dependent viscosity coefficients and discontinuous initial data. We prove ...
15
Spectrally accurate initial data in numerical relativity
... accurate initial data for the space-time metric and for the ...the initial space-time around the black hole(s) are non-linear, elliptic partial differential equations ...the initial puncture ...
163
Existence of global solution for a differential system with initial data in Lp
... Leray’s approximating system for our problem. In Section 4, we state and briefly prove some lemmas similar to those for Navier-Stokes equations. Finally, in Section 5, by es- tablishing a priori estimates for our system ...
12
Distorted black hole initial data using the puncture method
... hole initial data sets by Brandt and Bru¨gmann [2], and used for evolution studies by Bru¨gmann [3] and others (see, for example, ...for initial data to include single distorted black ...
5
Local well-posedness for periodic Benjamin equation with small initial data
... The local well-posedness of the periodic Benjamin equation with small initial value in H s (T), s ≥ –1/2, is given. It is here shown that –1/2 is the lower endpoint to obtain the bilinear estimates which are the ...
15
Regional environmental statistics Initial data collection results Data 1980 99 2001 ed;
... Despite an increase in the municipal waste collected, the total number of waste treatment and disposal plants fell significantly by 3 5 % between 1991 and 1998.. The most substantial red[r] ...
134
Blow-up and global existence for solution of quasilinear viscoelastic wave equation with strong damping and source term
... the initial data and the relaxation function g , we obtain a blow-up result for the solution with negative initial energy and some positive initial energy if p > ρ + , and get a global ...
12
Ricci flow and metric Geometry
... flow initial value ...class initial data ought to lie, and moreover, what the notion of ‘attaining initial data’ actually means, which is the problem we focus on in this ...
102
Lattice dynamics on large time scales and dispersive effective equations
... 5. Approximation result in two dimensions. We now consider the case of space dimension d = 2 in detail. To simplify formulas, we use \varepsilon -independent initial data \^ u \varepsilon 0 = \^ u 0 with ...
28
Fault identification based voltage sag state estimation using artificial neural network
... monitored data and arbitrarily named fault indices which are not related at all logically in numerical ...training data, the training data (the expected outputs of fault indices) is also updated to ...
9
Enterococcus faecium growth model
... The model for water activity 0.997 was used to predict E. faecium growth rates in cow and human milks (which have nearly the same water activities) and the predicted values were com- pared with the experimental ...
11