BrainMap

Mr. Cristian Bereanu

Professor

Professor - UNIVERSITATEA BUCURESTI

Other affiliations

Researcher - INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (Romania)

Researcher | Teaching staff | Scientific reviewer

Curriculum Vitae (14/06/2020)

Expertise & keywords

Analysis of Schrödinger equations Call name: Projects for Young Research Teams - RUTE -2014 call
PN-II-RU-TE-2014-4-0007 2015 - 2017

Role in this project: Key expert

Coordinating institution: INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE

Project partners: INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)

Affiliation: INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)

Project website: https://sites.google.com/site/liviuignat/projects/grant-te2015-2017

Abstract:

In this project we consider deterministic and stochastic Schrödinger equations on metric graphs. By using fine tools from harmonic analysis and stochastic analysis we study the dispersion property in terms of the topology of the considered structure. We analyze the well-posedness of nonlinear models and study some of their qualitative properties: long time behavior, solitons, waves propagation, blow-up, scattering. We investigate the influence of the graph topology on the behavior of the solutions, the existence of maximizers for Strichartz –like estimates and the way they depend on the topology. Discrete models of the above equations will be considered both from the numerical as the theoretical point of view.

Critical point theory and degree theory for nonlinear problems with relativistic Laplacians Call name: Projects for Young Research Teams - TE-2011 call
PN-II-RU-TE-2011-3-0157 2011 - 2014

Role in this project: Project coordinator

Coordinating institution: Institutul de Matematica Simion Stoilow al Academiei Romane

Project partners: Institutul de Matematica Simion Stoilow al Academiei Romane (RO)

Affiliation: Institutul de Matematica Simion Stoilow al Academiei Romane (RO)

Project website: http://sites.google.com/site/bereanucristian/grant-te-2011-2014

Abstract:

In this project, together with my team (Prof. dr. Petru Jebelean, C.S. III Liviu Ignat, Dr. Madalina Petcu from Poitiers, Dr. Nicusor Costea, PhD student Calin Serban), we will study some boundary value problems with relativistic Laplacians. Our main tools are semismooth critical point theory and degree theory. In particular we will study the multiplicity of periodic solutions for periodic perturbations of the relativistic vector Laplacians, multiplicity of solutions near resonance and nonlinear perturbations of the discrete relativistic Laplacian.

Qualitative properties of partial differential equations and their numerical approximations Call name: Projects for Young Research Teams - TE-2010 call
PN-II-RU-TE-2010-0004 2010 - 2013

Role in this project: Key expert

Coordinating institution: INSTITUTUL DE MATEMATICA SIMION STOILOV DIN BUCURESTI AL ACADEMIEI ROMANE

Project partners: INSTITUTUL DE MATEMATICA SIMION STOILOV DIN BUCURESTI AL ACADEMIEI ROMANE (RO)

Affiliation: INSTITUTUL DE MATEMATICA SIMION STOILOV DIN BUCURESTI AL ACADEMIEI ROMANE (RO)

Project website: https://sites.google.com/site/liviuignat/projects/grant-cncsis-te

Abstract:

Acest proiect este dedicat studiului unor ecuatii cu derivate partiale din punctul de vedere al existentei si unicitatii solutiilor, al aproximarii numerice si al comportamentului asimptotic. Mai precis, vom analiza urmatoarele probleme:

1. Aproximari numerice pentru ecuatii dispersive. Stabilim pana la ce punct schemele numerice clasice (sau variante ale acestora ce vor fi introduse de-a lungul proiectului) verifica proprietatile de dispersivitate uniforme in raport cu pasul de discretizare. Acestea sunt importante pentru demonstrarea convergentei schemelor numerice in problemele neliniare asociate.

2. Proprietati asimptotice pentru ecuatii cu difuzie nelocala. Dorim sa analizam descresterea solutiilor si profilul lor cand timpul tinde la infinit. Realizam atat o analiza teoretica cat si numerica.

3. Ecuatii pe retele. Vom considera ecuatii de tip Schrodinger (continue sau discrete) pe retele descrise de un arbor sau graf. Suntem interesati sa obtinem comportamentul asimptotic al solutiilor precum si rezultate de buna punere pentru probleme neliniare.

GENIL grant YTR-2011-7 Call name:
2011 - 2012

Role in this project: Partner team leader

Coordinating institution: University of Granada

Project partners: University of Granada ()

Affiliation: University of Granada ()

Project website:

Abstract:

Call name: Premierea obtinerii atestatului de abilitare
PN-II-RU-ABIL-2014-1-0019 2014 -

Role in this project:

Coordinating institution: INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE

Project partners: INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)

Affiliation: INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)

Project website:

Abstract:

FILE DESCRIPTION	DOCUMENT
List of research grants as project coordinator or partner team leader	Download (20.61 kb) 14/06/2020
Significant R&D projects for enterprises, as project manager
R&D activities in enterprises
Peer-review activity for international programs/projects