Quasilinear equations, inverse problems and their applications

Moscow Institute of Physics and Technology, Dolgoprudny

30 Nov. 2015 - 2 Dec. 2015

Moscow Institute of Physics and Technology, Dolgoprudny

30 Nov. 2015 - 2 Dec. 2015

**Preliminary
conference program**(pdf)

Monday, November 30th.

9:00: Registration of participants (in the Laboratory Building (LB), see https://mipt.ru/en/about/general/contacts/?map=campus)

9:30: Welcome

*Chair:
I. A. Taimanov*

10:00:
**S. I. Kabanikhin** (ICM&MG SB RAS, Russia), **M. A. Shishlenin**

Two-dimensional
analogy of I.M. Gelfand, B.M. Levitan and M.G. Krein equations in
hyperbolic inverse problems

10:35:
**J. Boman**
(Stockholm University, Sweden)

Tomographic region-of-interest
reconstruction from incomplete data

11:10:
**R. G. Novikov **(Ecole
Polytechnique, France)

Inverse scattering without phase
information

11:45:
**J.-C. Saut**
(Université Paris-Sud, France)

Dispersive perturbations of
nonlinear hyperbolic equations

12:20: Coffee break & lunch

**Section
«Inverse problems and integral geometry»****
**

*Chair:
M. I. Belishev*

13:20:
**L. N. Pestov** (Immanuel Kant Baltic Federal University,
Russia)

Integral geometry problems on convex
Riemannian manifolds

13:55:
**W. Lionheart**
(University of Manchester, UK)

Nonabelian tomography for polarized
light and neutrons

14:30:
**A. Puro**
(Information Science Institute, Estonia)

Optical tensor field
tomography of residual stresses in fibers

15:05:
**V. A. Sharafutdinov **(Sobolev
Institute of Mathematics, Russia)

The
linearized problem of magneto-photoelasticity

15:40: Coffee break

16:00:
**A. S. Demidov **(Moscow
State University, Russia)

Sur le
problème inverse magnéto-encéphalographie

16:35:
**A. Jollivet **(Université
de Lille 1, France),
**V. A. Sharafutdinov **(Sobolev
Institute of Mathematics, Russia)

An
inequality for the zeta function of a planar domain

17:15:*
***N. I. Klemashev** (Moscow State University, Russia)

The
inverse problem in Pareto's theory of consumer demand

17:35:
**E. G. Molchanov **(MIPT,
Russia)

Finding elasticity of substitution in the recourse
distribution problem

**Section
«Nonlinear PDEs and integrability»**

*Chair:
**A.
K. Pogrebkov*

13:20:
**A.
V. Faminskii **(Peoples'
Friendship University of Russia, Russia)

On
global well-posedness results for Zakharov-Kuznetsov equation

13:55:
**E.
Lakshtanov**
(University of Aveiro, Portugal)

On reconstruction
of complex-valued once differentiable conductivities

14:30:
**O.
S. Rozanova**
(Moscow State University, Russia)

On a stochastic representation
of solutions to systems of quasilinear equations

15:05:
**V.
N. Razzhevaikin**
(Dorodnicyn Computing Centre of RAS, Russia)

Asymptotic
behavior of solutions of reaction density dependent diffusion
equations and its applications

15:40: Coffee break

16:00:
**M. V. Pavlov **(Lebedev
Physical Institute of RAS, Russia)

Integrability
of the Benney System

16:35:
**Shuhua
Zhang**
(Tianjin
University of Finance and Economics, China)
Modeling and computation of mean field equilibria in producers' game
with emission permits trading

17:15:
**A.
P. Antonova **(Peoples'
Friendship University of Russia, Russia)

On
regularity properties of solutions to Zakharov-Kuznetsov equation

17:35:
**M.A.
Opritova**
(Peoples' Friendship
University of Russia, Russia)

Regularity
and large-time decay of solutions to generalized Kawahara equation

Tuesday, December 1st

*Chair:
S. I. Kabanikhin*

10:00:*
***I. A. Taimanov** (Sobolev Institute of Mathematics,
Russia)

On a numerical study of the discrete
spectrum of two-dimensional Schroedinger operators with soliton
potentials

10:35:
**M. I. Belishev** (PDMI RAS,
Russia)

Intrinsic geometric world of a
symmetric semibounded operator

11:10:
**S. Kuksin**
(Universite Paris-Diderot, France)

Averaging for weakly-nonlinear
PDE in finite volume

11:45:
**G. M. Henkin**
(Université Paris-VI, France), **A. A.
Shananin** (MIPT, Russia)

On the
Cauchy-Gelfand problem

12:20: Coffee break & lunch

**Section
«Inverse problems of mathematical physics»**

13:20:
**V. I. Agoshkov** (Institute of Numerical Mathematics of RAS,
Russia)

Study and numerical solution of inverse problems of the
theory of tides

13:55:
**A.
Jollivet**
(Université de Lille 1, France)

Inverse
scattering in classical mechanics

14:30:
Coffee break

14:50: **A.
S. Shurup**,
**O.
D. Rumyantseva**
(Moscow State University, Russia)

Numerical simulation of the
functional approach for recovering vector fields in acoustic
tomography

15:25:
**A.
V. Gasnikov **(MIPT,
Russia)

Inverse
problems in mathematical modeling of traffic flows

16:00:
**A.
D. Agaltsov**
(Ecole Polytechnique, France)

A global uniqueness result for
acoustic tomography of moving fluid

16:20:
**A.
V.****
****Podoroga**,**
I. V. Tikhonov**
(Moscow State University, Russia)

Computer simulation for
quasi-linear equations of traffic flow

17:00: Cultural program

**Section
«Nonlinear PDEs and dynamical systems»**

13:20:
**A. N. Sobolevski **(IITP RAS, Russia)

Evolution equations in
cosmology: hydrodynamic and kinetic formulations

13:55:
**D. V. Tunitsky**
(Institute of Control Sciences of RAS, Russia)

On global
solvability of one-dimensional nonlinear wave equations

14:30: Coffee break

14:50:
**A. A. Belolipetskiy** (Dorodnicyn Computing Centre of RAS,
Russia), **A. M. Ter-Krikorov** (MIPT, Russia)Modified
Kantorovich theorem and asymptotic solution of the singularly
perturbed systems of ordinary differential equations

15:25:
**L. A. Beklaryan**,
**A. L. Beklaryan **(Central
Economics and Mathematics Institute of RAS, Russia)

On
traveling wave type solutions in infinite dimensional dynamical
systems

16:00:
**A.
S. Bratus**
(Moscow State University of Railway Engineering, Russia)

Distributed
replicator system and its application to biology

17:00: Cultural program

**Section
«Numerical methods» (school for young scientists)***Chair:
A. A. Shananin*

13:20:
**A.**** ****Lagunovskaya**
(Keldysh Institute of Applied Mathematics of RAS, Russia)

On the
relationship between simulation logit dynamics in the population game
theory and mirror descent method in the online optimization using the
example of the shortest path problem

13:40:
**D.**** ****Kamzolov**,
**A.**** ****Suvorikova**
(MIPT, Russia)

Fast
computation Wasserstein
Barycenters

14:00:
**D.
Kamzolov** (MIPT, Russia), **A.
Anikin** (Institute for System Dynamics
and Control Theory SB RAS, Irkutsk, Russia)

Effective
numerical methods for huge-scale linear systems with double-sparsity
and applications to pagerank

14:20:
**D. Merkulov**
(MIPT, Russia)

Convex online optimization with noisy first order
oracle

14:40:
**V. Dryuma**
(Institute of Mathematics and Informatics
AS, Moldova)

New
solutions of the Euler system of equations for incompressible fluid

15:00:
**A. Chernov** (MIPT,
Russia)

Primal-dual method for
entropy-linear programming

15:20:
**S. Omelchenko** (MIPT,
Russia)

The evolutionary inference of the simplest model of
splitting traffic

flow on public and private ones

15:40:
**M. Mendel** (MIPT, Russia)

Inverse
problem of demand IP-matrix calculation from link loads

16:00:
**D. Grigorievykh** (MIPT,
Russia)

Mathematical modeling of cracks
in the solid deformable bodies using hexahedral mesh

16:20:
**A. Aleksandrova** (Peoples' Friendship
University of Russia, Russia)

Running wave speed analysis in one
Polterovich-Henkin model modification

17:00: Cultural program

Wednesday, December 2nd

*Chair:
**R.Novikov*

10:00:
**K.
Khanin**
(University of Toronto, Canada)

On global solutions to the random
Hamilton-Jacobi equation

10:35:
**I.
B. Petrov**
(MIPT, Russia)

Numerical investigation in solid mechanics of
direct and inverse problems

11:10:
**A. K. Pogrebkov**
(Steklov Mathematical
Institute of RAS, Russia)

Integrable
discretizations of integrable PDE's

11:45: Coffee break

12:00:
**R.
G. Novikov**
(Ecole Polytechnique, France)

Introductory lecture for students
«Inverse
scattering and applications»

14:00: Coffee break & lunch

**Section
«****Modeling****
****in****
****Continuum****
****Mechanics****
****and****
****Inverse****
****Problems****
****using****
****HPC»**

15:00:
**O.
Ya. ****Voinov**
(MIPT),
**V.
I. ****Golubev**
(MIPT),
**M.
S. ****Zhdanov**
(Univ. of Utah)

Migration
imaging
in
acoustic
media
using
Kirchhoff
and
Born
methods

15:20:
**A****.****V****.
****Favorskaya**,
**D****.
****I****
****Petrov**,
**N****.
****I****.
****Khokhlov**,
**I****.
****B****.
****Petrov**
(MIPT)

Numerical
modeling
of
seismic
prospecting
in
the
Arctic
by
grid-characteristic
method

15:40:
**A****.
****V****.
****Favorskaya**
(MIPT),
**M****.
****S****.
****Zhdanov**
(University of Utah)

Elastic
Kirchhoff
Integrals
and
Migration

16:00:
**K.
Beklemysheva**,
**A.
Ermakov**,
**A.
Vasyukov**
(MIPT)

Modeling non-destructive testing of composite materials for
delamination identification

16:20:
**V. A. Miryaha**
(MIPT), **D. A. Kuchevsky**
(MIPT), **A. V. Sannikov**
(IHEP)

Numerical simulation of impact of ice formation on Arctic
offshore objects.

16:40:
**N. B. Yavich**
(MIPT), **M. S. Malovichko**
(SPbSU), **M. S. Zhdanov**
(Utah)

Efficient algorithm for modeling low-frequency
electromagnetic field and its applicability to inversion of
geophysical data

17:00:
**M. S. Malovichko** (MIPT), **N. I. Khokhlov** (MIPT), **M.
S. Zhdanov** (Univ. of Utah), **I. B. ****Petrov**
(MIPT)

Integral approximations in seismic modeling

17:40: Coffee break

**Section
«Nonlinear PDEs and dynamical systems»**

15:00:
**N.
S. Petrosyan**
(MSTU "STANKIN")

Asymptotic time-behavior of the
solution of the mixed problem

for quasilinear scalar conservation
law

15:35:
**A.
Kazeykina**
(Université Paris-Sud, France)

On the well-posedness of the
Cauchy problem for the Novikov-Veselov equation

16:10:
**V.
E. Karpov**,
**A.
I. Lobanov**
(MIPT, Russia)

Mathematical model of the fibrin polymerization and
phase change in blood

16:45:
**N.
K. Volosova**,
**S.
P. Vakulenko**,
**K.
A. Volosov**
(Moscow State University of Railway Engineering, Russia)

On the
theory of method of quality control of the railroad track from a
moving train

17:40: Coffee break

**Section
«Inverse problems of mathematical physics»***Chair:
L. N. Pestov*

15:00:
**A. A. ****Gavrikov**,
**D. U. Knyazkov**,
**A. V. Romanova**,
**V. V. Chernik**,
**A. S. Shamaev**

Direct
and inverse problems of sea surface electromagnetic tomography

15:35:
**A. G. Yagola**
(Moscow State University, Russia)

Error estimation for ill-posed
problems

16:10:
* ***V. A. Sedaykina** (Immanuel Kant Baltic Federal
University, Russia)

Simulation of acoustical
imaging in semigeodesic coordinates by BC-method

16:30:
**P.
A. Mikheev **(SRISA/NIISI
RAS, Russia)

The
application of gradient method to electromagnetic wavefront
optimization

17:40: Coffee break

18:00: Closing

19:00: Conference dinner