Well-Posedness of Strongly Dispersive Two-Dimensional Surface Wave Boussinesq Systems

2012 ◽  
Vol 44 (6) ◽  
pp. 4195-4221 ◽  
Author(s):  
Felipe Linares ◽  
Didier Pilod ◽  
Jean-Claude Saut
Keyword(s):  
Surface Wave ◽  
Well Posedness ◽  
Two Dimensional ◽  
Boussinesq Systems ◽  
Dimensional Surface

scholarly journals Scanning ultrafast Sagnac interferometry for imaging two-dimensional surface wave propagation

2006 ◽  
Vol 77 (4) ◽  
pp. 043713 ◽  
Author(s):  
Takehiro Tachizaki ◽  
Toshihiro Muroya ◽  
Osamu Matsuda ◽  
Yoshihiro Sugawara ◽  
David H. Hurley ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Surface Wave ◽  
Two Dimensional ◽  
Surface Wave Propagation ◽  
Sagnac Interferometry ◽  
Dimensional Surface

A note on the total reflexion or transmission of surface waves in the presence of parallel obstacles

1975 ◽  
Vol 67 (3) ◽  
pp. 465-472 ◽  
Author(s):  
D. V. Evans
Keyword(s):  
Surface Wave ◽  
Surface Waves ◽  
Water Wave ◽  
Wave Theory ◽  
Two Dimensional ◽  
Total Transmission ◽  
Vertical Barriers ◽  
Total Reflexion ◽  
Dimensional Surface

It is shown how a two-dimensional surface wave can be either totally reflected or totally transmitted in the presence of two parallel vertical barriers each containing a small gap. Total transmission of a surface wave past obstacles has been known to occur in many situations in water-wave theory, but total reflexion is a comparatively new phenomenon which could be of practical use in the design of breakwaters.

scholarly journals DISCRETE AND CONTINUUM APPROACHES TO THREE-DIMENSIONAL QUANTUM GRAVITY

1991 ◽  
Vol 06 (39) ◽  
pp. 3591-3600 ◽  
Author(s):  
HIROSI OOGURI ◽  
NAOKI SASAKURA
Keyword(s):  
Gauge Theory ◽  
Moduli Space ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Analogue Model ◽  
Gauge Invariant ◽  
Invariant Functions ◽  
Dimensional Lattice ◽  
Chern Simons ◽  
Dimensional Surface

It is shown that, in the three-dimensional lattice gravity defined by Ponzano and Regge, the space of physical states is isomorphic to the space of gauge-invariant functions on the moduli space of flat SU(2) connections over a two-dimensional surface, which gives physical states in the ISO(3) Chern–Simons gauge theory. To prove this, we employ the q-analogue of this model defined by Turaev and Viro as a regularization to sum over states. A recent work by Turaev suggests that the q-analogue model itself may be related to an Euclidean gravity with a cosmological constant proportional to 1/k2, where q=e2πi/(k+2).

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