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The Eighth Congress of Romanian Mathematicians |
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List of talks
Special session: Local rings and homological algebra. Special session dedicated to Prof. Nicolae Radu
II. Algebraic, Complex and Differential Geometry and Topology
Special session: Geometry and Topology of Differentiable Manifolds and Algebraic Varieties
III. Real and Complex Analysis, Potential Theory
IV. Ordinary and Partial Differential Equations, Variational Methods, Optimal Control
Special session: Optimization and Games Theory
V. Functional Analysis, Operator Theory and Operator Algebras, Mathematical Physics
Special session: Spectral Theory and Applications in Mathematical Physics
Special session: Dynamical Systems and Ergodic Theory
VI. Probability, Stochastic Analysis, and Mathematical Statistics
VII. Mechanics, Numerical Analysis, Mathematical Models in Sciences
Special session: Mathematical Modeling of Some Medical and Biological Processes
Special session: Mathematical Models in Astronomy
VIII. Theoretical Computer Science, Operations Research and Mathematical Programming
Special session: Logic in Computer Science
IX. History and Philosophy of Mathematics
Mathematical Models in Astronomy (special session)
(this list is in updating process)
1.
BARBOSU Mihai mbarbosu@yahoo.com
RIT (Rochester Institute of Technology), USA
Title: RIT's Cubesat Project (details)
RIT (Rochester Institute of Technology), USA
Title: RIT's Cubesat Project (details)
Abstract:
Students and faculty members of the Space Exploration group (SPEX) at the Rochester Institute of Technology (RIT) have worked together on a CubeSat project focused on laser communications. Laser communications represent a major change in how spacecraft communications could be handled in the future and this is an important area of research in the space community. Our plan is to launch a satellite through the NASA CubeSat Launch Initiative and we have two main scientific goals: testing laser uplink technologies and developing better tracking algorithms. In this paper we will discuss the scientific merit of the proposal and the technical challenges regarding this mission.
Students and faculty members of the Space Exploration group (SPEX) at the Rochester Institute of Technology (RIT) have worked together on a CubeSat project focused on laser communications. Laser communications represent a major change in how spacecraft communications could be handled in the future and this is an important area of research in the space community. Our plan is to launch a satellite through the NASA CubeSat Launch Initiative and we have two main scientific goals: testing laser uplink technologies and developing better tracking algorithms. In this paper we will discuss the scientific merit of the proposal and the technical challenges regarding this mission.
2.
CHIRUTA Ciprian chiruta_c@yahoo.com
Universitatea de Stiinte Agricole si Medicina Veterinara "Ion Ionescu de la Brad" Iasi, Romania
Title: Rein's Model for the Restricted Eliptic Three-Body Problem with drag (details)
Universitatea de Stiinte Agricole si Medicina Veterinara "Ion Ionescu de la Brad" Iasi, Romania
Title: Rein's Model for the Restricted Eliptic Three-Body Problem with drag (details)
Abstract:
In this paper we present a generalization of Rein's model for the elliptic restricted three-body problem (ERTBP) by taking into account of a drag force. The equations of motion and the sationary points were established, and the linear stability of the equilibrium points were studied. Applications to the Earth-Moon system are considered, with the traiectories computed around the stable Lagrangian points.
In this paper we present a generalization of Rein's model for the elliptic restricted three-body problem (ERTBP) by taking into account of a drag force. The equations of motion and the sationary points were established, and the linear stability of the equilibrium points were studied. Applications to the Earth-Moon system are considered, with the traiectories computed around the stable Lagrangian points.
3.
CONSTANTIN Diana Rodica ghe12constantin@yahoo.com
ASTRONOMICAL INSTITUTE OF THE ROMANIAN ACADEMY, ROMANIA
Title: The Black Hole Effect and theGravitational Redshift Computation in the Frame of Post – Newtonian Type Garavitational Fields (details)
ASTRONOMICAL INSTITUTE OF THE ROMANIAN ACADEMY, ROMANIA
Title: The Black Hole Effect and theGravitational Redshift Computation in the Frame of Post – Newtonian Type Garavitational Fields (details)
Abstract:
We analyze the gravitational redshift in the two-body problem associated to some post-Newtonian type gravitational fields. We start from the general relativistic metric and we discuss the “black hole effect” associated to each of the gravitational potentials. Also, the mathematical expression of the gravitational redshift is written down for all the considered potentials. Comparing with the Newtonian potential case, we are able to offer a deeper insight about the gravitational redshift problem in the relativistic (both general and special) theory. Our results may contribute to a better understanding of mechanisms involved in gravitationally lensed galaxies at high redshift.
We analyze the gravitational redshift in the two-body problem associated to some post-Newtonian type gravitational fields. We start from the general relativistic metric and we discuss the “black hole effect” associated to each of the gravitational potentials. Also, the mathematical expression of the gravitational redshift is written down for all the considered potentials. Comparing with the Newtonian potential case, we are able to offer a deeper insight about the gravitational redshift problem in the relativistic (both general and special) theory. Our results may contribute to a better understanding of mechanisms involved in gravitationally lensed galaxies at high redshift.
4.
POPESCU Emil emil.popescu24@gmail.com
Astronomical Institute of the Romanian Academy, Romania
Title: Two-body problem associated to Buckingham potential (details)
Astronomical Institute of the Romanian Academy, Romania
Title: Two-body problem associated to Buckingham potential (details)
Abstract:
We study the two-body problem associated to Buckingham potential. Regularized equations of motion are obtained using McGehee-type transformations. In this framework, we describe two limit situations of motion, collision and escape, and provide the symmetries and the equilibrium points that characterize the problem.
We study the two-body problem associated to Buckingham potential. Regularized equations of motion are obtained using McGehee-type transformations. In this framework, we describe two limit situations of motion, collision and escape, and provide the symmetries and the equilibrium points that characterize the problem.
5.
POPESCU Nedelia Antonia nedelia@aira.astro.ro
Astronomical Institute of the Romanian Academy, Romania
Title: Fractional kinetic equations as a model of intermittent bursts in solar wind turbulence (details)
Astronomical Institute of the Romanian Academy, Romania
Title: Fractional kinetic equations as a model of intermittent bursts in solar wind turbulence (details)
Abstract:
The statistics of several quantities in space plasma are in agreement with some models based on space-time fractional derivative equations. In this paper we underline that the fractional calculus is a good approach to modeling the typical “anomalous” features that are observed in solar wind turbulence, which has both solar and interplanetary sources. In the case of solar wind velocity and interplanetary magnetic field data obtained by Ulysses mission, solutions of space-time fractional equations are used to analyze the presence or absence of heavy tails typically associated with multiscale behaviour.
The statistics of several quantities in space plasma are in agreement with some models based on space-time fractional derivative equations. In this paper we underline that the fractional calculus is a good approach to modeling the typical “anomalous” features that are observed in solar wind turbulence, which has both solar and interplanetary sources. In the case of solar wind velocity and interplanetary magnetic field data obtained by Ulysses mission, solutions of space-time fractional equations are used to analyze the presence or absence of heavy tails typically associated with multiscale behaviour.
6.
PRICOPI Dumitru dpricopi@aira.astro.ro
Astronomical Institute of the Romanian Academy, Romania
Title: Modelling of pulsations of giant stars (details)
Astronomical Institute of the Romanian Academy, Romania
Title: Modelling of pulsations of giant stars (details)
Abstract:
We tackle the problem of interaction between convection and pulsations in giant stars. We present the results of numerical computations of oscillation properties of a model of the G9.5 giant $\epsilon$ Oph, based on a new treatment of convection. The effects on modes stability and modes inertia are pointed out.
We tackle the problem of interaction between convection and pulsations in giant stars. We present the results of numerical computations of oscillation properties of a model of the G9.5 giant $\epsilon$ Oph, based on a new treatment of convection. The effects on modes stability and modes inertia are pointed out.
7.
SURAN Marian Doru suran@aira.astro.ro
Astronomical Institute of the Romanian Academy, Romania
Title: Exploring the Space of Stellar Parameters for PLATO2 Space Mission Targets Using CESAM2k and LNAWENR/ROMOSC Codes (details)
Astronomical Institute of the Romanian Academy, Romania
Title: Exploring the Space of Stellar Parameters for PLATO2 Space Mission Targets Using CESAM2k and LNAWENR/ROMOSC Codes (details)
Abstract:
In order to extract the basic stellar parameters we use the asteroseismic inversion method where the observed oscillation frequencies are used to estimate the stellar parameters. The inversion shall be understood such that the best estimated parameters for a given star correspond to the model input parameters for the model that shows frequencies most similar to the observed ones. We have computed a wide grid of stellar models and their associated oscillation frequencies and we have designed a tool to evaluate the value of $\chi ^{2}$ on that grid for different possible sets of observational data. Preliminary results were been obtained for some observed CoRoT and Kepler missions targets.
In order to extract the basic stellar parameters we use the asteroseismic inversion method where the observed oscillation frequencies are used to estimate the stellar parameters. The inversion shall be understood such that the best estimated parameters for a given star correspond to the model input parameters for the model that shows frequencies most similar to the observed ones. We have computed a wide grid of stellar models and their associated oscillation frequencies and we have designed a tool to evaluate the value of $\chi ^{2}$ on that grid for different possible sets of observational data. Preliminary results were been obtained for some observed CoRoT and Kepler missions targets.