Patterns and waves : theory and applications

Saint Petersburg,  July 8 - 12, 2002

Preliminary program

Monday, July 8

  9.30 - 10.00    Openning

10.00 - 10.50    Plenary lecture
                           V. Pliss.  The existence of a real solution of a differential equation in the neighbourhood of an approximate solution

11.00 - 12.05    Parallel sessions (Biology, Solid state mechanics)
                           11.00 - 11.30
                           11.35 - 12.05

14.00 - 17.00    Parallel sessions (Chemical physics 1, Dynamical systems)
                           14.00 - 14.30
                           14.35 - 15.05
                           15.20 - 15.50
                           15.55 - 16.25
                           16.30 - 17.00

Tuesday, July 9

  9.00 -   9.50    Plenary lecture
                           V. Yudovich. Cosymmetry and its applications in mathematical physics

10.00 - 12.00    Parallel sessions (Mathematical questions 1, Hydrodynamics 1)
                           10.00 - 10.30
                           10.35 - 11.05
                           11.10 - 11.40

14.00 - 17.00    Parallel sessions (Chemical physics 2, Hydrodynamics 2)
                           14.00 - 14.30
                           14.35 - 15.05
                           15.20 - 15.50
                           15.55 - 16.25
                           16.30 - 17.00

Thursday, July 11

  9.00 -   9.50    Plenary lecture
                           V. Kozlov. To be announced

10.00 - 12.00    Parallel sessions (Mathematical questions 2, Chemical physics 3)
                           10.00 - 10.30
                           10.35 - 11.05
                           11.10 - 11.40

14.00 - 17.00    Parallel sessions (Hydrodynamics 3, Waves)
                           14.00 - 14.30
                           14.35 - 15.05
                           15.20 - 15.50
                           15.55 - 16.25
                           16.30 - 17.00

Friday, July 12

  9.00 -   9.50    Plenary lecture
                           M. Moussaoui. Sums of operators and application to boundary valus problems

10.00 - 12.00    Parallel sessions (Hydrodynamics 4, Other topics)
                           10.00 - 10.30
                           10.35 - 11.05
                           11.10 - 11.40

Preliminary list of speakers

The number before the name of the speaker shows the number of the subsection, e.g., Chemical physics 1, 2, 3.

1. Chemical physics

(1) V. Barelko, A. Pumir, V. Krinsky
Nonlinear waves in artificially created regularly nonuniform media and possible applications
to safety of steam generating nuclear reactors

(2) V. Chernetsova, K. Shkadinskii, V. Yukhvid
Mathematical model of SHS of silicides

(3) G. Dzhardimalieva, N. Golubeva, A. Pomogailo
Frontal polymerization of metal-containing monomers

(1) J. Hudson
Emerging coherence and collective dynamics of a population of chemical

(1) A. Ivanova, Z. Andrianova, V. Barelko
The nonlinear phenomena of catalytic combustion reactions

(2) T. Ivleva, A.G. Merzhanov
3d modelling of spinning reaction waves

(3) K. Kostarev, A. Shmyrov, T. Yudina
Frontal polymerization under convective motion of reaction mixture

(2) L. Manevich
Localized nonlinear waves in the weakly coupled oscillatory chains

(3) A. Pomogailo
To be announced

(1) A. Pumir, V. Barelko, I. Barkalov, D. Kiryukhin
Cold ignition of combustion-like waves of cryo-chemical reactions in solids

(2) K. Shkadinskii, N. Ozerkovskaya, A. Merzhanov
Layered structures at the chemical-filtration interaction in systems
"porouse reagent-active gas-solid product"

(2) J.C. Tedenac
To be announced

2. Hydrodynamics

(3) S. Aristov, D. Knyazev
Convective fronts in viscous incompressible fluids

(4) J.A.P. Arancha, J.I.H. Lopez, J.R. Meneghini
Weak three-dimensionality of a flow around a slender cylinder: the Ginzburg-Landau equation

(3) T. Dumont
Modelling of heat explosion with convection

(4) D.S. Goldobin, E.N. Krapivina, D.V. Lyubimov, T.P. Lyubimova
Intersection of bifurcational surfaces for perturbations of different symmetry in a problem of visco-elastic fluid convection

(2) V.N.  Govorukhin
Computation of the families of stationary states in filtration convection problem

(1) L.G.Kurakin, V.I.Yudovich
On stationary rotations of regular vortex polygons and their stability

(3) D.V. Lyubimov, T.P. Lyubimova, S. Shklyaev
On a large-scale thermo-acoustic convection in a horizontal layer

(3) L. Mirantsev
Modelling of binary systems with molecular dynamics simulations

(4) O.D. Shishkina
Structure of internal wave wake past a vertical cylinder crossing a near-surface pycnocline

(1) A.L. Shleykel
 Influence of the finite frequency vertical oscillations on the
onset of thermocapillary  convection

(2) V. Tsybulin
Cosymmetry preserving discretization and multiple convective regimes

(3) V. Volpert
Binary liquids and diffuse interfaces

(2) V. Yudovich, S. Ovchinnikova
Resonances in the interactions of bifurcations in the Couette-Taylor problem

(2) S.M.  Zenkovskaya, A.L. Shleykel
Effect of high frequency vibrations on the onset of convection in a horizontal layer

(2) S.M.  Zenkovskaya, A.L. Shleykel, V. Novosyadlyi
Parametric wave exitation on a free boundary of a horizontal fluid layer

(1) S.M.  Zenkovskaya, V.I.  Yudovich
The continued fraction method in  the problem of parametric resonance
and parametrically excited waves

3. Dynamical systems

V. Chepyzhov
Kolmogorov epsilon-entropy of global attarctors of non-autonomus partial
differntial equations

A. Lebedev
Polynomial rate of attraction to the global attractor

S. Pilyugin
Attractors for discretized parabolic equations on the line

V. Romanovskii
Algebraic methods for investigation of limit cycles bifurcations

S. Vakulenko
Chaos in chemistry, phase transitions, biology, and hydrodynamics

4. Waves

A. Abramian
Surface waves caused by a soliton moving along the bottom

A. Barmin
To be announced

S. Kadyrov
Asymptotic approaches in problems of difraction of weak shock waves on surfaces

A. Kulikovskii
To be announced

5. Biology

V. Buren
To be announced

S. Genieys
Reaction-diffusion models and pattern formation in biology

6. Mathematical questions

(1) A. S. Demidov, J.P. Loheac
On the evolution near some attractive manifold in a problem for Hele-Shaw flows

(1) M. Zelikin
Hoelderian optimal problems

(2) A. Fedorova, M. Zeitlin
Wavelet-based modeling in quantum/collective dynamics: from localization
to entanglement and pattern formation

(2) A. Zeitlin
Supersymmetric extensions of the KdV equations, Drinfeld-Sokolov reduction and inverse scattering

(2) A. Kochurov
Approximation by piecewise polynomial functions on [0,1]

(1) J. Pousin
To be announced

7. Solid state mechanics

E. L. Aero
Essentially nonlinear dynamics of crystalline lattice

N. Bessonov, S. Golovashchenko
Finite-volume method for simulations of hyperelastic-plastic solids

8. Other topics

R. Arutyunian
To be announced

N. Firsova
Modelling of black holes

A. Rozenberg
To be announced