theories.
Fractional Calculus of P-transforms
MSC 2010: 44A20, 33C60, 44A10, 26A33, 33C20, 85A99The fractional calculus of the P-transform or pathway transform which is a generalization of many well known integral transforms is studied. The Mellin and Laplace transforms of a P-transform are obtained. The composition formulae for the various fractional operators such as Saigo operator, Kober operator and Riemann-Liouville fractional integral and differential operators with P-transform are proved. Application of the P-transform in reaction rate...
General relativistic celestial mechanics of binary systems. II. The post-newtonian timing formula
Global strong solutions of Vlasov's equation---necessary and sufficient conditions for their existence
Gravitational capture of asteroids by gas drag.
Gravitational lensing in astronomy.
Gravitational waveforms from spinning objects
According to general relativity, a binary consisting of spinning bodies will precess due to spin-orbit and spin-spin coupling. The corresponding modulation of its gravitational waves might be a serious problem for detecting such waves with simple post-Newtonian templates. A new family of templates that takes into account the complications arising from the orbital precession is proposed and its application and performance are discussed.
Groupes conformes en relativité générale
High order explicit Runge-Kutta pairs for ephemerides of the solar system and the Moon.
History of astroparticle physics and its component.
Interferometer techniques for gravitational-wave detection.
Measuring our universe from galaxy redshift surveys.
Multicomponent models in nuclear astrophysics
We consider hydrodynamical models describing the evolution of a gaseous star in which the presence of thermonuclear reactions between several species leads to a multicomponent formulation. In the case of binary mixtures, recent 3D results are evoked. In the one-dimensional situation, we can prove global estimates and stabilization for some simplified model.
Multiple solutions for inhomogeneous nonlinear elliptic problems arising in astrophyscs.
Non linear stability of spherical gravitational systems described by the Vlasov-Poisson equation
In this work, we prove the nonlinear stability of galaxy models derived from the three dimensional gravitational Vlasov Poisson system, which is a canonical model in astrophysics to describe the dynamics of galactic clusters.
Numerical hydrodynamics and magnetohydrodynamics in general relativity.
Numerical simulations in astrophysics: Supernovae explosions, magnetorotational model and neutrino emission.
Numerical treatment of a time dependent inverse problem in photon transport
The time-dependent intensity of a UV-photon source, located inside an interstellar cloud, is determined by formulating and solving an inverse problem for the integro-differential transport equation of photons in a one-dimensional slab. Starting from a discretizazion of the forward problem, an iterative procedure is used to compute the values of the source intensity at increasing values of the time.
O použití Einsteinových rovnic v kosmologii
On a class of nonlinear integral equations arising in neutron transport.