Asymptotic behavior of three-dimensional bubbles in the Richtmyer–Meshkov instability

2001 ◽  
Vol 13 (10) ◽  
pp. 2866-2875 ◽  
Author(s):  
S. I. Abarzhi
Keyword(s):  
Asymptotic Behavior ◽  
Three Dimensional

scholarly journals On the Asymptotic Behavior of D-Solutions to the Displacement Problem of Linear Elastostatics in Exterior Domains

Mathematics ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 77
Author(s):  
Vincenzo Coscia
Keyword(s):  
Asymptotic Behavior ◽  
Lipschitz Domain ◽  
Three Dimensional ◽  
Finite Energy ◽  
Asymptotic Behavior Of Solutions ◽  
Exterior Domains ◽  
Displacement Problem ◽  
Linear Elastostatics

We study the asymptotic behavior of solutions with finite energy to the displacement problem of linear elastostatics in a three-dimensional exterior Lipschitz domain.

scholarly journals PROBING THE FROISSART BOUND FOR MODELS WITH CHARGED VECTOR FIELDS IN D=3

1994 ◽  
Vol 09 (18) ◽  
pp. 1695-1700 ◽  
Author(s):  
O.M. DEL CIMA
Keyword(s):  
Asymptotic Behavior ◽  
Scattering Amplitudes ◽  
Gauge Field ◽  
Vector Fields ◽  
Three Dimensional ◽  
Tree Level ◽  
Abelian Gauge ◽  
Gauge Invariant ◽  
Maxwell Fields ◽  
Chern Simons

One discusses the tree-level unitarity and presents asymptotic behavior of scattering amplitudes for three-dimensional gauge-invariant models where complex Chern- Simons-Maxwell fields (with and without a Proca-like mass) are coupled to an Abelian gauge field.

ASYMPTOTICS OF A SPECTRAL PROBLEM ASSOCIATED WITH THE NEUMANN SIEVE

2005 ◽  
Vol 03 (01) ◽  
pp. 69-87 ◽  
Author(s):  
DANIEL ONOFREI ◽  
BOGDAN VERNESCU
Keyword(s):  
Asymptotic Behavior ◽  
Weak Convergence ◽  
Spectral Problem ◽  
Three Dimensional ◽  
Simple Eigenvalue ◽  
Limit Problem ◽  
Two Dimensional ◽  
Entire Sequence

In this paper, we analyze the asymptotic behavior of a Stekloff spectral problem associated with the Neumann Sieve model, i.e. a three-dimensional set Ω, cut by a hyperplane Σ where each of the two-dimensional holes, ∊-periodically distributed on Σ, have diameter r∊. Depending on the asymptotic behavior of the ratios [Formula: see text] we find the limit problem of the ∊ spectral problem and prove that the sequences [Formula: see text], formed by the nth eigenvalue of the ∊ problem, converge to λn, the nth eigenvalue of the limit problem, for any n ∈ N. We also prove the weak convergence, on a subsequence, of the associated sequence of eigenvectors [Formula: see text], to an eigenvector associated with λn. When λn is a simple eigenvalue, we show that the entire sequence of the eigenvectors converges. As a consequence, similar results hold for the spectrum of the DtN map associated to this model.

Evaluation of the Wave-Resistance Green Function: Part 1—The Double Integral

1987 ◽  
Vol 31 (02) ◽  
pp. 79-90
Author(s):  
J. N. Newman
Keyword(s):  
Asymptotic Behavior ◽  
Three Dimensional ◽  
Steady Motion ◽  
Wave Resistance ◽  
Integral Representations ◽  
Far Field ◽  
Double Integral ◽  
Numerical Studies ◽  
Single Integral ◽  
Dimensional Domain

Analytical and numerical studies are made of the source potential for steady motion beneath a free surface. Various alternative integral representations are reviewed, and attention is focused on the component which usually is expressed as a double integral. A particular form is selected for numerical applications, where the double integral represents a symmetrical nonradiating disturbance, and the far-field waves are accounted for separately in the complementary single integral. Systematic expansions are derived for the singularity of the double integral at the origin, and for its asymptotic behavior far from the origin. Guided by these expansions, numerical approximations of the double integral are derived in terms of three-dimensional polynomials, which greatly facilitate the computation of the double integral. Tables of the coefficients in these approximations are presented, permitting the double integral to be evaluated throughout the three-dimensional domain with an accuracy of five to six decimal places. Greater accuracy can be achieved by using extended tables of the same coefficients. Algorithms for evaluating the Chebyshev polynomial approximations and a description of the computational methods used to derive the coefficients are included in the Appendices.

ASYMPTOTIC BEHAVIOR OF A VISCOUS FLUID WITH SLIP BOUNDARY CONDITIONS ON A SLIGHTLY ROUGH WALL

2010 ◽  
Vol 20 (01) ◽  
pp. 121-156 ◽  
Author(s):  
J. CASADO-DÍAZ ◽  
M. LUNA-LAYNEZ ◽  
F. J. SUÁREZ-GRAU
Keyword(s):  
Asymptotic Behavior ◽  
Viscous Fluid ◽  
Boundary Conditions ◽  
Critical Size ◽  
Three Dimensional ◽  
Plane Boundary ◽  
Limit Equation ◽  
Slip Boundary Conditions ◽  
Slip Boundary ◽  
Oscillating Boundary

For an oscillating boundary of period and amplitude ε, it is known that the asymptotic behavior when ε tends to zero of a three-dimensional viscous fluid satisfying slip boundary conditions is the same as if we assume no-slip (adherence) boundary conditions. Here we consider the case where the period is still ε but the amplitude is δε with δε/ε converging to zero. We show that if [Formula: see text] tends to infinity, the equivalence between the slip and no-slip conditions still holds. If the limit of [Formula: see text] belongs to (0, +∞) (critical size), then we still have the slip boundary conditions in the limit but with a bigger friction coefficient. In the case where [Formula: see text] tends to zero the boundary behaves as a plane boundary. Besides the limit equation, we also obtain an approximation (corrector result) of the pressure and the velocity in the strong topology of L2 and H1 respectively.

CLASSICAL VORTEX SOLUTIONS IN THREE-DIMENSIONAL SUPERSYMMETRIC ABELIAN-HIGGS MODEL

1990 ◽  
Vol 05 (08) ◽  
pp. 581-592 ◽  
Author(s):  
E.R. BEZERRA DE MELLO
Keyword(s):  
Asymptotic Behavior ◽  
Gauge Field ◽  
Electric Charge ◽  
Three Dimensional ◽  
Higgs Model ◽  
Abelian Higgs Model ◽  
Cylindrically Symmetric ◽  
Fermionic Fields ◽  
Vortex Solutions ◽  
Fermionic Degree

Classical vortex solutions in a three-dimensional supersymmetric Abelian-Higgs model are presented. A cylindrically symmetric ansatz for the bosonic and fermionic fields is used, and the asymptotic behavior for these fields are also obtained. No electric charge for this model is found, although the temporal component for the bosonic gauge field is not zero. Finally, after we have integrated over all the fermionic degree of freedom, a purely bosonic action is obtained.

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