Zobrazeno 1 - 10
of 229
pro vyhledávání: '"Haraux, Alain"'
Autor:
Haraux, Alain
We recover the relativistic kinetic energy as the result of the work of a force.
Externí odkaz:
http://arxiv.org/abs/2312.11065
Autor:
Haraux, Alain
A toy model is proposed for the Cosmic Dipole consisting in the Shapley attractor and the so-called Dipole repeller, whose action is assimilated to an anti-gravitational force. According to this model, the local group will collapse in finite time wit
Externí odkaz:
http://arxiv.org/abs/2311.01074
Autor:
Haraux, Alain
We show how it is possible to define and study black holes of arbitrary shapes in the framework of Newtonian mechanics.
Externí odkaz:
http://arxiv.org/abs/2303.15339
Autor:
Haraux, Alain, Tebou, Louis
We consider a damped wave equation in a bounded domain. The damping is nonlinear and is homogeneous with degree p -- 1 with p > 2. First, we show that the energy of the strong solution in the supercritical case decays as a negative power of t; the ra
Externí odkaz:
http://arxiv.org/abs/2204.11494
Autor:
Haraux, Alain
The usual equation for both motions of a single planet around the sun and electrons in the deterministic Rutherford-Bohr atomic model is conservative with a singular potential at the origin. When a dissipation is added, new phenomena appear. It is sh
Externí odkaz:
http://arxiv.org/abs/2012.08293
We consider a class of linear second order differential equations with damping and external force. We investigate the link between a uniform bound on the forcing term and the corresponding ultimate bound on the velocity of solutions, and we study the
Externí odkaz:
http://arxiv.org/abs/2003.11579
Autor:
Haraux, Alain, Otani, Mitsuharu
Let A be a positive self-adjoint linear operator acting on a real Hilbert space H and $\alpha$, c be positive constants. We show that all solutions of the evolution equation u + Au + cA $\alpha$ u = 0 with u(0) $\in$ D(A 1 2), u (0) $\in$ H belong fo
Externí odkaz:
http://arxiv.org/abs/1909.07067
Autor:
Haraux, Alain
We refine some previous sufficient conditions for exponential stability of the linear ODE $$ u''+ cu' + (b+a(t))u = 0$$ where $b, c>0$ and $a$ is a bounded nonnegative time dependent coefficient. This allows to improve some results on uniqueness and
Externí odkaz:
http://arxiv.org/abs/1906.01298