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SYMPOSIUM |
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St. Petersburg, Russia May
11-15, 2000
SCHEDULE
MAY 10, Wednesday
12.00-20.00. Registration
MAY 11, Thursday
9.00-10.00.
Registration
10.00-10.15. Ludvig Faddeev
(St.Pertersburg).
Opening address.
10.15-10.25. Vassilii Babich
(St.Pertersburg).
Opening address on behalf of the Organizing Committee.
10.25-10.45. Irina Lopatukhina
(St.Pertersburg). On
the biography and scientific work of S.Kovalevskaya.
PLENARY SESSION
10.45-11.25. Nina Uraltseva (St.Pertersburg). On the
regularity of free boundaries.
11.25-12.05. Alexey Shabat (Moscow). Classification
of Toda Type integrable Chains.
12.05-12.30. Coffee break
SECTION A
12.30-12.55. Oleg Bogoyavlenskii (Moscow). Exact global plasma equilibria and
counterexamples to Parker's theorem.
12.55-13.20. Lev
Berkovich (Samara). Transformations and Exact Solutions.
13.20-13.45. Ljudmila Bordag (Germany). A geometrical
approach to the Painleve equations and
to the Emden-Fowler equation.
SECTION C
12.30-12.55. Gleb Dyatlov (Novosibirsk). Uniqueness
in the Problem of Finding a Time-Dependent Potential.
12.55-13.20. Ivan Andronov (St.Pertersburg), B.Belinskiy
(USA). Uniqueness
and Non-Uniqueness for Boundary-Contact Value Problems of acousto-Elastic
Scattering.
13.20-13.45.
Azamat Akhtyamov (Ufa). On Elliptic Problems with an Eigenvalue
Parameter in Boundary Conditions.
13.45-15.15. Lunch
SECTION A
15.15-15.40. Donato Fortunato (Italy). Topological solitary waves
in 3 space dimensions: existence and multiplicity.
15.40-16.05. Yuri Fedorov (Moscow).
Integrable
discretizations of some classical problems of mechanics.
16.05-16.20. Coffee break
16.20-16.45. Alexey
Borisov (Moscow). The method of Kovalevskaya in rigid body dynamics.
16.45-17.10. Ivan Mamaev (Izhevsk).
Generalizations of the Kovalevskaya case and its geometry.
SECTION C
15.15-15.40. Alexey Kiselev, Maria Perel (St.Pertersburg). Highly localised solutions of the wave
equation.
15.40-16.05. Vyacheslav Panov (Novgorod).
On Uniqueness of a Locally Bounded Generalized.
16.05-16.20. Coffee break
16.20-16.45. Denis Borisov (Ufa). On the
Eigenvalue Asymptotics of the Certain Boundary Value Problem for Laplacian in
Cylinder.
16.45-17.10. Viktor Grudnitsky (Moscow).
General characteristics and sufficient conditions of stability by constructing
jumps of solutions of Euler’s equations.
MAY 12, Friday
PLENARY SESSION
10.00-10.40. Catherine Bandle (Switzerland).
Large solutions in nonlinear elliptic equations.
10.40-11.20. Ari Laptev
(Sweden). Eigenvalue inequalities for Partial Differential Operators.
11.20-12.00. Nikolai Nikolski (St. Petersburg/France). The similarity problem in perturbation theory.
12.00-12.30. Coffee break
SECTION A
12.30-12.55. Plamen Iliev (Belgium). Bispectral commutative difference
operators.
12.55-13.20. Dmitri Markouchevitch (France). On Some
Genus 2 Curves Related to the Kowalewski Top.
13.20-13.45. Olga Orel, Pavel Ryabov (Moscow). Bifurcations
of Liouville Tori in integrable Problems of Rigid Body Dynamics with Additional
integrals of Fourth Degree.
SECTION C
12.30-12.55. A.Kazakov, S.Slavyanov (St.Pertersburg). Kovalevskaya-Painlev'e property and linear
second-order equations.
12.55-13.20. Petr Zhidkov (Dubna). On the property of being a basis in L_2
for systems of eigenfunctions of nonlinear Sturm-Liouville-type problems.
13.20-13.45. Christian Klein (Germany). Relativistic Dust Disks and
Hyperelliptic.
13.00. Lunch
SECTION A
15.15-15.40. Konstantin Rerikh (Dubna). Birational Symmetry and Algebraic integrability of
Functional Equations Defined by Birational Maps.
15.40-16.05. Jurij Suris
(Germany). The Motion of a Rigid Body in a Quadratic Potential: an
integrab Discretization.
16.05-16.20. Coffee break
16.20-16.45. Lyubov Shagalova
(Ekaterinburg). A Construction Algorithm for the Precise
Piecewise-Linear Minimax Solution of Hamilton-Jacobi Equation.
16.45-17.10. Yury Brailov (Moscow). Critical points of the commutative sets on
the semisimple Lie algebras.
SECTION C
15.15-15.40. Vladimir Gerdt(Dubna). Involutive
Systems of algebraic and Differential Equations.
15.40-16.05. Andrei Shafarevich (Moscow).
Complex Lagrangian Manifolds and splitting of eigenvalues for Laplace operators
on 2D-surfaces with quadratically integrable geodesic flows.
16.05-16.20. Coffee break
16.20-16.45. Vyacheslav Pavlenko, V.Vinokur (Chelyabinsk). Elliptic
boundary value problems with discontinuous non-linearities at resonance.
16.45-17.10. Natalia Korovina (Moscow).
The orbital equivalence of two integrable cases in rigid body dynamics.
MAY 13, SATURDAY
PLENARY SESSION
10.00-10.45. Nina Ivochkina (St.Pertersburg).
Some topics of the theory of nonlinear partial differential equations.
10.45-11.30. Nikola Garofalo (Italy). Properties of harmonic measures in
the Dirichlet problem foroperators of Hörmander type on some model Lie
groups.
11.30-12.00. Coffee break
SECTION A
12.00-12.25. Gennadii Rudykh (Irkutsk). Existence and Qualitative Analysis of Exact Non
Self-Similar Solutions for the Multidimensional Equation of Nonlinear
Diffusion.
12.25-12.50. Andrey Oshemkov (Moscow).
The topology of complex of singularities for Integrable Hamiltonian systems.
12.50-13.15. Pavel Kourassov (St.Petersburg/Stockholm).
On Semibounded Few-Body Problems.
13.15-13.40. Gennadii Rudykh
& N. Frolova (Irkutsk). Lax pairs galore by Calogero
for one-dimensional nonlinear evolution equation. Generalized Miura and
Bäcklund transformations.
SECTION B
12.00-12.25. Yana Belopolskaya (St. Petersburg). Logarithmic
Transformations of forward and Backward Kolmogorov Equations.
12.25-12.50. Alexander Kuz'min (St.
Petersburg). Equations of Mixed Elliptic-Hyperbolic Type: Boundary Value
Problems and Applications.
12.50-13.15. Yuri Bratkov (Moscow). On
the Existence of the Classical Solution of the Hyperbolic Monge-Ampere Equation
on the Whole.
13.15-13.40. Elena Ryabova,
O. Kouzenkov (Nizhny Novgorod). The solution for some class
of the first order semilinear particular differential system.
13.40-15.15. Lunch
SECTION B
15.15-15.40. Mikhail Bronshtein (Kazan). On Kowalewski Systems.
15.40-16.05. Boris Epshtein (Israel).
Accuracy of approximations to the High-Reynolds Navier-Stokes Equations in
Computational Aerodynamics.
16.05-16.20. Coffee break
16.20-16.45. Denis Akhmetov
(Novosibirsk). Classical solvability of the Cauchy problem for
parabolic equations.
SECTION C
15.15-15.40. Ekaterina Tatarinova (Moscow). On the topology of foliation in Kovalevskaja case in the
dynamics of rigid body.
15.40-16.05. Sergey Khekalo
(Kolomna). Fundamental Solution for Itereted Cayley-Garding Type
Operator.
16.05-16.20. Coffee break
16.20-16.45. Elena Polyakhova, Nikolai Polyakhov
(St. Petersburg). About the papers of S.V.Kovalevskaya on the classic
mechanics.
16.45-17.10. Larisa Il’ina, Elena Onosovskaya, Viktor Fedorov (St.
Petersburg). Memoir of Kovalevskaya on the light refraction in the crystalline
media and critique of it by V.Volterra and F.Claine.
18.00. Party
MAY 14, Sunday
10.00-17.00. Bus excursion over the city.
MAY 15, MONDAY
PLENARY SESSION
10.00-10.40. Alexander Bruno (Moscow). Local and
asymptotical expansions of solutions of nonlinear equations.
10.40-11.20. Carlo Pagani
(Italy). Free-surface flows past a surface-piercing objects.
11.20-12.00. Mikhail Safonov (USA). General
properties of solutions to second order elliptic and parabolic equations.
12.00-12.30. Coffee break
SECTION A
12.30-12.55. Konstantin
Manuylov (St. Petersburg). Integration of the movement equations
of the heavy rigid body with the fixed point in the general case and in the
case of S.V.Kovalevskaya.
12.55-13.20. Konstantin Manuylov, Natalia Rybanova
(St. Petersburg). Geometrical representation of movement of the heavy
rigid body with the fixed point in the case of S.V.Kovalevskaya and memoir of
N.E.Zhukovskiy.
13.20-13.45. Irina Belinskaya-Abnizova (Novosibirsk).
The determination of the coefficients of the equations to the acoustic and
geoelectric problems.
SECTION B
12.30-12.55. Henrik Shahgholian
(Sweden). An inverse of Cauchy Kovalevskaya theorem, related to free
boundaries.
12.55-13.20. Darya Apushkinskaya,
Aleksandr Nazarov (St. Petersburg). Two-Phase Problems with
Venttsel Type interface Conditions.
13.20-13.45. Aleksandr Nazarov
(St. Petersburg). On Symmetry and Asymmetry of Extremals in Friedrichs
inequality for Spherical Shell.
13.45-15.15. Lunch
SECTION B
15.15-15.40. Olga Rozanova (Belgorod). On a Nonexistence of Global Smooth Solutions to
Compressing Euler Equations on Riemannian Manifolds.
15.40-16.05. Sergey Titov (Ekaterinburg). Real
Analogs of Kovalevsky's Theorem in Viscous Fluid Mechanics.
SECTION C
15.15-15.40. Andrew Snegovoy, A.Morozov, A. Tischenko (Moscow). The New Method of
the Numerical Ray Tracing for waves propagating in 3D-inhomogeneous
isotropic medium.
15.40-16.05. Mikhail Filimonov
(Ekaterinburg). Representation of solutions of nonlinear evaluationary equations
by special series.
6.05-16.20. Coffee break
SECTION D
16.20-16.50. Sandra Coleman, Michael Dutko (USA).
Sofia Kovalevskaya: Mathematician with the Soul of a Poet.
16.50-17.20. Marina Kozyreva (St.
Petersburg). Sofia Kovalevskaya in St. Petrsburg.
17.20. Closing.