18 citations · 43 across the 20 of their papers we have counts for
25 papers
A Newtonian approach to general black holes
Alain Haraux
We show how it is possible to define and study black holes of arbitrary shapes in the framework of Newtonian mechanics.
Energy decay estimates for the wave equation with supercritical nonlinear damping
Alain Haraux, Louis Tebou
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 solu…
On a linearly damped 2 body problem
Alain Haraux
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 t…
Sharp ultimate velocity bounds for the general solution of some linear second order evolution equation with damping and bounded forcing
Marina Ghisi, Chiara Giraudo, Massimo Gobbino +1
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 corre…
On spatial Gevrey regularity for some strongly dissipative second order evolution equations
Alain Haraux, Mitsuharu Otani
Let A be a positive self-adjoint linear operator acting on a real Hilbert space H and , c be positive constants. We show that all solutions of the evolution equation u + Au + cA…
A sharp stability criterion for single well Duffing and Duffing-like equations
Alain Haraux
We refine some previous sufficient conditions for exponential stability of the linear ODE where and is a bounded nonnegative time depende…