**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

oscillators

(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