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Saari's homographic conjecture for planar equal-mass three-body problem under a strong force potential
Saari's homographic conjecture planar equal-mass three-body problem Mathematical Physics
2011/9/1
Abstract: Donald Saari conjectured that the $N$-body motion with constant configurational measure is a motion with fixed shape. Here, the configurational measure $\mu$ is a scale invariant product of ...
Polygonal Homographic Orbits of the Curved n-Body Problem
Polygonal Homographic Orbits Curved n-Body Problem
2011/1/20
In the 2-dimensional n-body problem in spaces of constant curvature, 6= 0, with n ≥ 3, we study polygonal homographic solutions.
Homographic Approximation for Some Nonlinear Parabolic Unilateral Problems
Homographic Nonlinear Parabolic Unilateral Problems
2009/1/15
We deal with nonlinear parabolic unilateral problems by means of the homographic approximation, introduced by C. M. Brauner and B. Nicolaenko [in: "Nonlinear Partial Diff. Equations and Their Applicat...