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13 719 (0,173s) •

Project

Geometric structures, differential operators and symmetries (GA19-06357S)

by the notion of symmetries. This leads to the concept of invariant differential operators (and related invariant systems of PDEs) compatible with the geometry. An example is the Laplace operator with its conforma...

Pure mathematics

  • 2019 - 2022
    • •
  • 6 028 tis. Kč
    • •
  • 5 761 tis. Kč
    • •
  • GA ČR
Project

The properties of solutions of invariant PDE´s on manifolds (GA201/00/P070)

During last years, the properties of invariant differential operators conformally invariant operators, for example Dirac, Rarita-Schwinger, antwistor operators of solutions of corresponding PDE's. I plan to study: (1) The d...

BA - Obecná matematika

  • 2000 - 2002
    • •
  • 673 tis. Kč
    • •
  • 673 tis. Kč
    • •
  • GA ČR
Project

Symmetry and invariance in analysis, geometric modelling and control theory (GA20-11473S)

The most important differential operators in mathematical models enjoy big groups of symmetries, which is equivalent to their invariance with respect to relevant underlying geometric structures, and it offers direct exploitation of rich alge...

Pure mathematics

  • 2020 - 2023
    • •
  • 8 136 tis. Kč
    • •
  • 8 136 tis. Kč
    • •
  • GA ČR
Project

Geometric structures, invariance and differential equations related to mathematical physics (GA22-00091S)

of symmetries. This leads to the concept of invariant differential operators and related invariant systems of (P)DEs (compatible with the geometry). An example is the Laplace operator with its conformally invariant

Pure mathematics

  • 2022 - 2024
    • •
  • 6 629 tis. Kč
    • •
  • 6 559 tis. Kč
    • •
  • GA ČR
Project

Invariant differential operators and their applications in geometric modelling and control theory (GA17-01171S)

Diverse generalizations of the classical Dirac operator and twistor operator play crucial role in many applications in Engineering and Mathematical Physics, all based on the Lie theory of symmetries of such operators. This is the background of the Cl...

BA - Obecná matematika

  • 2017 - 2019
    • •
  • 6 388 tis. Kč
    • •
  • 5 259 tis. Kč
    • •
  • GA ČR
Project

Stochastic Processes in Infinite Dimensional Spaces (GA15-08819S)

of coalescing particle systems. More specifically, the following topics will be emphasized will be studied. In particular, weak (in PDE sense) solutions will be considered. 2. Ergodic will be considered. In particular, existence of...

BA - Obecná matematika

  • 2015 - 2017
    • •
  • 5 904 tis. Kč
    • •
  • 5 904 tis. Kč
    • •
  • GA ČR
Project

Simulation-Based Computation of Robust Invariants of Hybrid Dynamical Systems (GA15-14484S)

are invariants. An invariant is a set of states of a given system such that the system size. The proposal concerns computation of invariants of hybrid dynamical systems, that is, dynamical sy...

IN - Informatika

  • 2015 - 2017
    • •
  • 2 610 tis. Kč
    • •
  • 2 610 tis. Kč
    • •
  • GA ČR
Project

Function theory and operator theory in the Bergman space (IAA1019701)

Operator theory and function theory in the Bergman space is a relatively new field of functional analysis which has recently undergone a rapid development and which has close ties with other branches of mathematics (PDE, complex analysis the...

BA - Obecná matematika

  • 1997 - 1999
    • •
  • 683 tis. Kč
    • •
  • 316 tis. Kč
    • •
  • AV ČR
Project

Geometry of integrable systems (GA201/04/0538)

of systems of partial differential equations (PDEs) via the inverse scattering transform or linearization. In particular, we expect to classify (1+1l)-dimensional integrable PDEs nonsolvable Lie algebras, and present new e...

BA - Obecná matematika

  • 2004 - 2006
    • •
  • 495 tis. Kč
    • •
  • 495 tis. Kč
    • •
  • GA ČR
Project

Methods of numerical analysis and algorithms in nonlinear dynamics of chemical and biological systems (GA201/02/0844)

) and infinite dimensional (PDE´s) nonlinear dynamical systems will be further developed of PDE´s describing ionic reaction systems and their time-periodic spatiotemporal nonautomous dynamical systems desc...

BA - Obecná matematika

  • 2002 - 2004
    • •
  • 1 100 tis. Kč
    • •
  • 609 tis. Kč
    • •
  • GA ČR
  • 1 - 10 out of 13 719