Corner Conditions

1981 ◽  
pp. 67-70
Author(s):  
George Leitmann
Keyword(s):  
Corner Conditions

scholarly journals Gravitational corner conditions in holography

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Gary T. Horowitz ◽  
Diandian Wang
Keyword(s):  
Corner Conditions

scholarly journals POLYHOMOGENEOUS SOLUTIONS OF NONLINEAR WAVE EQUATIONS WITHOUT CORNER CONDITIONS

2006 ◽  
Vol 03 (01) ◽  
pp. 81-141 ◽  
Author(s):  
PIOTR T. CHRUŚCIEL ◽  
SZYMON ŁȨSKI
Keyword(s):  
Initial Data ◽  
Wave Equations ◽  
Space Time ◽  
Einstein Equations ◽  
Nonlinear Wave Equations ◽  
Linear Wave ◽  
Cauchy Problems ◽  
Time Dimension ◽  
Wave Maps ◽  
Corner Conditions

The study of Einstein equations leads naturally to Cauchy problems with initial data on hypersurfaces which closely resemble hyperboloids in Minkowski space-time, and with initial data with polyhomogeneous asymptotics, that is, with asymptotic expansions in terms of powers of ln r and inverse powers of r. Such expansions also arise in the conformal method for analysing wave equations in odd space-time dimension. In recent work it has been shown that for non-linear wave equations, or for wave maps, polyhomogeneous initial data lead to solutions which are also polyhomogeneous provided that an infinite hierarchy of corner conditions holds. In this paper we show that the result is true regardless of corner conditions.

Corner Conditions for Differential Games

1972 ◽  
Vol 5 (1) ◽  
pp. 367-372 ◽  
Author(s):  
Pierre Bernhard
Keyword(s):  
Differential Games ◽  
Corner Conditions

Modification of weierstrass-erdmann corner conditions in space navigations

AIAA Journal ◽  
1964 ◽  
Vol 2 (6) ◽  
pp. 1145-1147 ◽  
Author(s):  
R. N. BHATTACHARYA ◽  
M. BHATTACHARJEE
Keyword(s):  
Corner Conditions

Millimeter-Wave Automotive Radar Scheme With Passive Reflector for Blind Corner Conditions

2020 ◽  
Author(s):  
Dmitrii Solomitckii ◽  
Carlos Baquero Barneto ◽  
Matias Turunen ◽  
Markus Allen ◽  
Yevgeni Koucheryavy ◽  
...  
Keyword(s):  
Millimeter Wave ◽  
Automotive Radar ◽  
Corner Conditions

scholarly journals Corner Conditions for Weak Shock Diffraction by a Wedge

1967 ◽  
Vol 20 (6) ◽  
pp. 731
Author(s):  
NJ de Mestre
Keyword(s):  
Wave Equation ◽  
Weak Shock ◽  
Approximate Solutions ◽  
Shock Diffraction ◽  
Initial Value ◽  
First Order ◽  
Pressure Discontinuity ◽  
Thermally Conducting ◽  
The Uniqueness Theorem ◽  
Corner Conditions

In deriving the first-order approximate solutions to the problem of the diffraction of a propagating pressure discontinuity by a rigid wedge in a non-viscous, non-thermally conducting, polytropic gas, Miles (1952) and Friedlander (1958) have taken as the comer conditions that the pressure remains finite and that the velocity may have an integrable singularity, whereas Keller and Blank (1951) gave no discussion of the comer conditions at all. Friedlander imposed the above-mentioned conditions in order to ensure the validity of the uniqueness theorem of the initial value problem for the wave equation, whereas Miles invoked them through physical requirements but gave no details.

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