•  
•  Grant: CNR-16-08
  from 05/04/2016  to  31/12/2018
  Grantor: Czech Academy of Sciences / CNR Italy
• Phenomenological modeling of polymeric smart foams with behavior controlled by the magnetic field
•  
• The aim of the collaboration is to develop and test experimentally a reliable mathematical model for magnetic foams taking into account hysteresis effects in the material, with the goal to provide, as output, parameters needed to obtain optimal performance in both "passive" (structural reinforcement and gradient properties) and "active" modes (actuation and control through magnetic field) of lightweight porous polymeric structures reinforced with aligned magnetic particles. The average distribution, size and shape of particles, their magnetic characteristics, and mechanical properties of the foam will be considered as processing parameters. Homogenization techniques will be adopted in order to derive simple constitutive relationships for low computational requirements. The developed constitutive model will be phenomenological, while the governing equations will be based on the magnetic and mechanical balance laws. The development and validation of the model will be performed by comparing predictions with experiments.
• 
•  
•  Grant: GF16-34860L
  from 01/01/2016  to  31/12/2018
  Grantor: Austrian Science Foundation (FWF) - Czech Science Foudation
• Logic and Topology in Banach spaces
•  
• Objectives:
  
  The project is devoted to the study of topological and geometric properties of Banach spaces and their duals, aiming at a better understanding of their structure. Properties of the weak topology often imply important geometric properties of the Banach space in question. On the other hand, geometric properties of the Banach space often give information about its weak topology. Similar statements are true for duals of Banach spaces with the weak-star topology. We are going to explore this interplay in detail. The main project goals are:
  
  1. Developing new tools for constructing and studying Banach spaces, using techniques from set theory and category theory.
  2. Exploring different types of networks and related concepts in weak topologies, determining connections with renorming theory.
  
  Results of Goal 1 will lead to new examples, settling some of the problems concerning interplay between geometric and topological properties of non-separable Banach spaces. Goal 2 will lead to a better understanding of the weak topology and its relations to the geometric structure of a Banach space.
  
  
  
  
• 
•  
•  Grant: 7AMB16PL060
  from 01/01/2016  to  31/12/2017
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Flow of viscous fluid in time dependent domain
•  
• Objectives:
  
  G1. Global existence of weak solution of full system in time-dependent domain.
  Goals: Our goals is the study of the global existence of a weak solution in the case of a bounded or an  exterior domains for the Navier or Dirichlet type of boundary conditions. We will use the method introduced  in E. Feireisl: Dynamics of viscous compressible fluids, 2004 for fixed domain and we will also apply the penalization method.
   
  G2: Relative entropy inequality.
  Goals: We will focus on the derivation of the relative entropy inequality in the case of time-dependent domain. We will use the results from fixed domain introduced in E. Feireisl and A. Novotný: Weak-strong uniqueness for the full Navier-Stokes-Fourier system, 2012.
   
  G3. Singular limits.
  Goals We shall study the singular limits in the regime of low Mach number. From this follows that the limit system (target system) is the system of incompressible flow in the time-dependent domain. We will use the results from E. Feireisl, O. Kreml, Š. Nečasová, J. Neustupa, J. Stebel: Incompressible limits of fluids excited by moving boundaries, 2014, where barotropic case was studied, and also the results for fixed domains.
   
  G4: Weak solution of viscous flow around rotating rigid body and his asymptotic behavior.
  Goals: We will focus on the problem of existence of weak solution in weighted Lorentz spaces to get the asymptotic behavior of flow around a body. Because of the lack of the regularity in L^p spaces it is necessary to go into more complicated structure of Lorentz spaces, where the integrability of convective term is satisfied. Moreover, we would like to study the relative entropy inequality in the case of compressible flow around rotating body.
  
  
• 
•  
•  Grant: 7AMB16AT035
  from 01/01/2016  to  31/12/2017
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Performance and thermodynamic aspects of incrementally non-linear constitutive equations of the rate type
•  
• Objectives:
  
  Although first models of hypoplasticity were proposed some decades ago, their properties have not yet been sufficiently understood, neither from the viewpoint of general applicability to large classes of technical problems, nor from the viewpoint of their mathematical well-posedness and numerical complexity. In special cases, however, there is evidence of their strong modeling potential for describing irreversible deformations, in particular in the case of granular or porous solids. The goal of this project is to exploit the complementary knowledge and experience of its participants, and classify the individual models within a larger thermomechanical context. The models will be investigated both analytically and numerically, and the results will be compared with known experimental data published in the literature, which will enable us to decide about their applicability for solving practical problems.
• 
•  
•  Grant: GF15-34700L
  from 01/01/2015  to  31/12/2017
  Grantor: Austrian Science Foundation (FWF) - Czech Science Foudation
• The continuum, forcing and large cardinals
•  
• Objectives:
  The work shall study interactions between large cardinals and forcing and also with regard to properties of the continuum. The work shall be divided into three subtopics:
  (1) First subtopic is called "Combinatorial properties of cardinals and the continuum function". The focus shall be on the impact of several combinatorial properties on the continuum function (a function which maps kappa to the size of the powerset of kappa). As Easton showed, without extra assumptions, there is very little ZFC can prove about the continuum function on regulars. However, once we  start to consider large cardinals, or in general combinatorial properties often formulated in the context of large cardinals (tree property, square  principles, etc.), suddenly the situation is much more interesting. Subtopic 1 studies these connections.
  (2) Second subtopic is called"Combinatorial characteristics of the continuum and the Mathias forcing". This subtopic focuses on the real line from the point of certain combinatorial characteristics which shall be studied by means of the Mathias forcing. This forcing is determined by a filter on the powerset of omega. Thus it is natural to study the connections between the combinatorial properties of filters and the properties of the real line. This subtopic combines set theory and topology.
  (3) The third subtopic is called "New developments in the template iterations." Template iterations is a modern forcing method with the potential to show new results regarding the combinatorial characteristics of the real line. Among the main  problems to be studied are: obtaining cardinal characteristics with singular values, application of template iterations on non-definable posets, and finally the application of the method with the mixed finite and countable support. These new approaches will be useful in obtaining new results.
  
  
  
  
  
  
• 
•  
•  Grant: 7AMB15AT035
  from 01/01/2015  to  31/12/2016
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Topics in set theory: Traces of large cardinals, variants of Hechler's theorem, and ultrafilters on countable sets
•  
• Objectives:
  The goal of the project is to expand the collaboration between specialists working in different areas of Set Theory. We shall, in particular, try to exploit the complementary expertise of the Czech and Austrian teams while solving problems on the borders of traditional areas of research (large cardinals, forcing, infinitary combinatorics, topology) and encourage mutual cross-fertilization and inspiration sharing. The main goal is to encourage new members of both Czech and Austrian research teams to interact in join international research, to explore new possibilities for scientific collaboration, and to introduce international contacts enabling applications for funding with more ambitious join projects in future years.
• 
•  
•  Grant: MUSIC(LH13012)
  from 01/03/2013  to  31/12/2015
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Multilevel supervisory control
•  
• Programme type:  KONTAKT II
  
  Objectives:
  The aim of the project is to develop techniques to decrease computational complexity of supervisory control of discrete-event systems with large number of states. Both automata with known modular structure given by the synchronous product of smaller components and large automata without such a structure will be considered. Standard centralized control methods cannot be applied for complexity reasons, and therefore, we will propose multi-level coordination control with hierarchical structure of the coordinators on different layers for different groups of subsystems. It will be based on the single-level coordination control with one central coordinator that we have recently developed. These efficient techniques will be applied to decentralized control of systems without known modular structure. As a by-product communication protocols between groups of subsystems given by the structure of coordinators on different levels of hierarchy will be obtained.
• 
•  
•  Grant: M100191201
  from 01/07/2012  to  30/06/2015
  Grantor: Academy of Sciences of the Czech Republic
• Algebraic classification of tensors on Lorentzian manifolds and its applications
•  
• Objectives:
  We will  search for exact vacuum solutions of generalized theories of gravity using the algebraic classification of tensors and the generalization of the Geroch-Held-Penrose formalism to higher dimensions co-developed by our department. Particular focus is on so called universal solutions –  vacuum solutions to all theories of gravity derived from the Lagrangian constructed from the metric, the Riemann tensor and its arbitrary covariant derivatives. Another objective is to develop a refinement of the algebraic classifications of tensors in five dimensions.
• 

•  
•  Grant: 7AMB12FR003
  from 01/01/2012  to  31/12/2013
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Non-linear analysis in Banach spaces
•  
• Programme type: MOBILITY - France
  
  Objectives:
  The goal of this project is to contribute to a better understanding of the following topics:
  
  
  
• 
•  
•  Grant: MEB091101
  from 01/01/2011  to  31/12/2012
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Spectral theory of linear operators and reflexivity
•  
• Programme type: MOBILITY - Slovenia
  
  Objectives:
  Research in the field of spectral theory of linear operators.
• 
•  
•  Grant: MEB021108
  from 01/01/2011  to  31/12/2012
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Holomorphic function spaces and their operators
•  
• Programme type: MOBILITY - France
  
  Objectives:
  Study of holomorphic functions spaces and related operators (Toeplitz, Hankel, Bergman projection, etc.) and their interplay with the Berezin transform. Where appropriate, extensions to spaces of harmonic functions may also be investigated.
• 
•  
•  Grant: MEB0810045
  from 01/01/2010  to  31/12/2011
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Unilateral dynamic contact problems for thin structures
•  
• Programme type: MOBILITY - Slovakia
  
  Objectives:
  To prove solvability of dynamic contact problems for different models (e.g. Reisne-Mindlin etc.) of plates and shells. Publication of results in the form of scientific papers and then in a monograph about the topic.
• 
•  
•  Grant: MEB051006
  from 01/01/2010  to  31/12/2011
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Set theory and its applications
•  
• Programme type: MOBILITY - Polsko
  
  Objectives:
  Cooperation in the subject of descriptive set theory and forcing. Finishing the book "Ideals and Equivalences", coothored by Jindřich Zapletal and Marcin Sabok. Organizing bilateral conferences in Prague and Hejnice on the subject of infinite games, set theory, and forcing. Lectures of Jindřich Zapletal at the Institute of Mathematics in Wroclaw.
• 
•  
•  Grant: MEB021024
  from 01/01/2010  to  31/12/2011
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Variational inequalities in equilibrial optimization
•  
• Programme type: MOBILITY - France
  
  Objectives:
  Development of tools of variational analysis suitable for study of local properties of solutions of variational inequalities.
  Analysis of the stability and sensibility of multi-valued mappings which assign suitable sets of solutions to the data of problems or to perturbing parameters.
  Application of obtained results on selected equilibrial problems of continuum mechanics and of mathematical economy.
• 
•  
•  Grant: MEB060909
  from 01/01/2009  to  31/12/2010
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Set theory and its applications
•  
• Programme type: MOBILITY - Austria
  
  Objectives:
  Exploring the interaction between set theory on one hand, and abstract analysis and combinatorics on the the other.
• 
•  
•  Grant: MEB090905
  from 01/01/2009  to  31/12/2010
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Spectral theory of linear operators and reflexivity
•  
• Programme type: MOBILITY
  
  Objectives:
  Study of questions of spectral theory of linear operators concerning the reflexivity.
• 

    Mapa   |  Autor   |  Webmaster

Powered by LabSciNet

Copyright © 2009-2015 s.raitmayerova   

Webmaster