scholarly journals Spatially Homogeneous Dynamic Textures

2004 ◽  
pp. 591-602 ◽  
Author(s):  
Gianfranco Doretto ◽  
Eagle Jones ◽  
Stefano Soatto
Keyword(s):  
Dynamic Textures ◽  
Spatially Homogeneous

scholarly journals Cosmic Analogues of Classic Variational Problems

Universe ◽  
2020 ◽  
Vol 6 (6) ◽  
pp. 71 ◽  
Author(s):  
Valerio Faraoni
Keyword(s):  
Relativistic Particle ◽  
Friedmann Equation ◽  
Variational Calculus ◽  
Variational Problems ◽  
Particle Mechanics ◽  
One Dimensional ◽  
Spatially Homogeneous

Several classic one-dimensional problems of variational calculus originating in non-relativistic particle mechanics have solutions that are analogues of spatially homogeneous and isotropic universes. They are ruled by an equation which is formally a Friedmann equation for a suitable cosmic fluid. These problems are revisited and their cosmic analogues are pointed out. Some correspond to the main solutions of cosmology, while others are analogous to exotic cosmologies with phantom fluids and finite future singularities.

Quantum mechanics of the general spatially homogeneous geometry coupled to a scalar field

1992 ◽  
Vol 33 (8) ◽  
pp. 2863-2876 ◽  
Author(s):  
T. Christodoulakis ◽  
E. Korfiatis
Keyword(s):  
Quantum Mechanics ◽  
Scalar Field ◽  
Spatially Homogeneous

Trend to spatial homogeneity for solutions to semilinear damped wave equations

1987 ◽  
Vol 105 (1) ◽  
pp. 117-126 ◽  
Author(s):  
J. Solà-Morales ◽  
M. València
Keyword(s):  
Boundary Conditions ◽  
Wave Equations ◽  
Lipschitz Constant ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Spatial Homogeneity ◽  
Homogeneous Solutions ◽  
Spatially Homogeneous ◽  
Image Position

SynopsisThe semilinear damped wave equationssubject to homogeneous Neumann boundary conditions, admit spatially homogeneous solutions (i.e. u(x, t) = u(t)). In order that every solution tends to a spatially homogeneous one, we look for conditions on the coefficients a and d, and on the Lipschitz constant of f with respect to u.

Spatially homogeneous copulas

2018 ◽  
Vol 72 (2) ◽  
pp. 607-626
Author(s):  
Fabrizio Durante ◽  
Juan Fernández Sánchez ◽  
Wolfgang Trutschnig
Keyword(s):  
Spatially Homogeneous
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