Quasilinear equations, inverse problems and their applications

Moscow Institute of Physics and Technology, Dolgoprudny

12 Sept. 2016 - 15 Sept. 2016

Moscow Institute of Physics and Technology, Dolgoprudny

12 Sept. 2016 - 15 Sept. 2016

**Monday, September 12 ^{th}. Phystech.Bio**

9:30: Welcome

**Plenary session**
*
*

Chair: Ch. L. Epstein

10:00: **V. M. Buchstaber** (Steklov Mathematical Institute, Russia)

On a model of Josephson effect, dynamical systems on two-torus and Heun equations

Slides

10:35: **L. Baratchart **(INRIA, Sophia Antipolis, France)

Inverse potential problems in divergence form: some uniqueness, separation, and recovery issues

Slides

11:10**: ****F. Golse** (Ecole Polytechnique, France)

On the mean-field and semiclassical limits of the N-body Schrödinger equation

Slides

11:45: **V. Michel** (Universite de Paris VI, France)

The two dimensional conductivity inverse problem

Slides

12:20: Coffee break & lunch

**
Section «Inverse problems and tomography»
**

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

Boundary rigidity of simple manifolds

Slides

13:55: **M. Galchenkova (MIPT, Russia)**, A. Demidov (Moscow State University,Russia), A. Kochurov (Moscow State University, Russia)

A flat approximation of inverse MEG-problems

Slides

14:30: **A. D. Agaltsov** (Ecole Polytechnique, France)

An explicit algorithm for solving the acoustic tomography problem for a moving fluid

Slides

15:05: **A. S. Shurup, **O.D. Rumyantseva (Moscow State University, Russia)

Acoustic tomography of scalar and vector inhomogeneities based on the Novikov-Agaltsov algorithm

Slides

15:40: Coffee break

16:00: **F. O. Goncharov **(MIPT, Russia)

An analog of Chang inversion formula for weighted Radon transforms in multidimensions

Slides

16:35 **V. Filatova, **L. N. Pestov, V. Nosikova** **(Research Institute of Applied Informatics and Mathematical Geophysics of
Immanuel Kant Baltic Federal University)

Application of Reverse Time Migration (RTM) procedure for ultrasound tomography problem

Slides

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

13:20**: ****L.A. Beklaryan** (Central Economics and Mathematics Institute, Russia)

The questions of existence of the periodic and limited solutions of travelling wave type

Slides

13:55: **S. Yu. Dobrokhotov**, V. E. Nazaikinskii, B. Tirozzi (Ishlinsky Institute for Problems of Mechanics of RAS)

Asymptotics of wave propagation and run-up in the framework of shallow water equations

Slides

14:30: **N. S. Petrosyan** (MSTU "STANKIN", Russia)

Asymptotics of solutions of the Cauchy problem for a quasilinear first order equation with several space variables

Slides

15:05: **A. V. Romanov** (Higher School of Economics, Russia )

On normally hyperbolic inertial manifolds of evolutionary equations

15:40: Coffee break

16:00: **V. V. Vedenyapin,** M. A. Negmatov, N. N. Fimin (Keldysh Institute of Applied Mathematics, Russia)

Hydrodynamics and kinetics of Vlasov and Liouville equations

Slides

16:35: **A. V. Podoroga, **I. V. Tikhonov (Moscow State University, Russia)

On stability of special solutions for quasi-linear equations of traffic flow

Slides

17:10: **V. S. Dryuma **(Institute of Mathematics and Computer Science, Moldova)

On integration of the equations of flows of incompressible liquids

Slides

17:45 **V. Chistyakov** (National Research University of ITMO)

On rotational dynamics of a rigid body around non-principal central axis under combinated friction acting

**Tuesday, September 13**
^{th}
**. **
**Phystech.Bio**

**Plenary session**
*
Chair: F. Golse
*

10:00: **I. B. Petrov** (MIPT, Russia)

The problem of numerical modeling of dynamic processes in solid heterogeneous environments

Slides

10:35: **A. N. Sobolevski **(IITP RAS, Russia)

Optimal transportation and geometry of Wasserstein spaces

Slides

11:10: **Ch. L. Epstein**( University of Pennsylvania, USA)

Degenerate diffusions in population biology

Slides

11:45: **M. V. Klibanov** (University of North Carolina, USA)

Phaseless inverse scattering problems and global convergence

Slides

12:20: Coffee break & lunch

**Section «Inverse problems in mathematical physics and modeling »**
**
**

13:20: **M.I. Belishev, **S.A. Simonov (St. Petersburg Dept. of Steklov Math. Instutute, Russia)

Wave model of the Sturm-Liouville operator with defect indices (1,1) on the semi-axis

Slides

13:55: **A.V. Gasnikov**(MIPT, Russia)

Inverse problem in mathematical modeling of computer networks

Slides

14:30: Coffee break

14:50: **K.A. Beklemysheva, **A.V. Vasyukov, A.S. Ermakov, A.O. Kazakov (MIPT, Russia)

Numerical modeling of non-destructive testing of composites

Slides

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

Numerical modeling of seismic wave processes using grid-characteristic method

Slides

16:00: **O. Ya. Voynov, **V.I. Golubev, M.S. Zhdanov (MIPT, Russia)

Migration imaging in elastic media using Born approximation

Slides

16:35: **P. N. Vabishchevich** (Nuclear Safety Institute of RAS, Russia)

Iterative computational identification of a spacewise dependent source in parabolic equations

Slides

17:00: Cultural program

**Section «Numerical methods» (school for young scientists)**

*Chair: I. B. Petrov*

13:20 **M. V. Muratov **(MIPT, Russia)
**
**
Modeling of dynamical processes in multi-dimensional exploration seismology in fracture media problems

13:40: **D. N. Voroshyuk**** **(MIPT, Russia)

Application of discontinuous Galerkin method in direct 3D seismic exploration problems

14:00: **V. A. Miryaha**, A. V. Sannikov (MIPT, Russia)

Discontinuous Galerkin method for ice specimen strength investigation

Slides

14:20: **O. I. Kassirova, **N. I. Khokhlov** **(MIPT, Russia)

Using MPI technology for parallelization grid-characteristic method on multi block structured grids.

14:40: **D. I. Petrov,** P. V. Stognii, N. I. Khokholov (MIPT, Russia)

High-order schemes in numerical problems of seismic exploration in the Arctic

Slides

15:00: **D. P. Grigorievykh ** (MIPT, Russia)

Simulation of large elastic-plastic deformation using markers method on rectangular grids.

15:20: **P. V. Stognii**, D.I. Petrov, I.B. Petrov (MIPT, Russia)

Numerical modeling of various ice formations in north seas and their influence on seismic replies

Slides

15:40: **A. Ivanov**, N. I. Khokhlov (MIPT, Russia)

Applying OpenCL technology for seismic modelling using grid-characteristic methods

Slides

16:00: **N. I. Klemashev** (Moscow State University, Russia)

Applications of the generalized non-parametric method to the analysis of a stock market crash

Slides

17:00: Cultural program

**Wednesday, September 14**
^{th}
**. **
**Phystech.Bio**

**Plenary session**
*
Chair: R.G. Novikov
*

10:00: **J. Boman** (Stockholm University, Sweden)

Holmgren theorems for the Radon transform

Slides

10:35: **V. G. Romanov** (Sobolev Institute of Mathematics, Russia)

Some geometric aspects in inverse problems

Slides

11:10: **A. B. Shabat** (L.D.Landau Institute for Theoretical Physics, Russia)

Inverse scattering problems revisited

Slides

11:45: Coffee break

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

Introductory lecture for students «Tomography and integral geometry»

Slides

14:00: Coffee break & lunch

*Chair: A. B. Shabat*

*15:00:*
** ****V. Y. Ovsienko **
(Université de Reims, France)
**
**
Discrete Boussinesq equation and projective differential geometry

15:35: ** ****A. K. Pogrebkov**** **(Steklov Mathematical Instutute, Russia)
**
**
Highest Hirota equations and their consequences

Slides

16:10: **A. E. Tumanov** (University of Illinois, USA)

Symplectic non-squeezing for the discrete nonlinear Schroedinger equation

Slides

16:45: **K. V. Vorontsov**(MIPT, Russia)

Ill-posed problems of non-negative matrix factorization with applications to text analysis

Slides

**Thursday, **
**September 15**
^{th}
**. Phystech.Bio**

**Memorial session «Legacy of G. M. Henkin»**
**
**

10:00:* ***A. A. Shananin** (MIPT, Russia)

Inverse problems in resource distribution models

Slides

10:35: **V. M. Polterovich** (Central Economics and Mathematics Institute, Russia) Schumpeterian dynamics: a survey of different approaches

Slides

11:10: **S. G. Gindikin** (Rutgers University, USA )

Complex integral geometry and around

Slides

11:45: **R. G. Novikov **(Ecole Polytechnique, France)

Inverse scattering in multidimensions

Slides

12:20: Coffee break & lunch

**
Section «Methods of complex analysis and geometry»
**

13:20: **S.P. Suetin **(Steklov Mathematical Institute of RAS, Russia)

On the Nuttall partition of a three-sheeted Riemann surface and limit zero distribution of Hermite-Padé polynomials

Slides

13:55: **S. Rigat **(Université d'Aix-Marseille, France)

Fokas methods applied to a boundary valued problem for conjugate conductivity equations

Slides

14:30: **P. G. Grinevich** (L.D.Landau Institute for Theoretical Physics, Russia), R.G. Novikov (Ecole Polytechnique, France )

Moutard transform for the generalized analytic functions with contour singularities and 2-D inverse scattering problem for large data

15:05: **Ya. M. Dymarskii** (MIPT, Russia)

Fibration of the periodical eigenfunctions manifold into hypersurfaces

Slides

15:40: Coffee break

16:00: **A. L. Lukashov** (MIPT, Russia), H. Acar (Anadolu University, Turkey)

Loewner Evolution as Itô Diffusion

Slides

18:00: Closing

**Section «Mathematical modeling and inverse problems » **
**
**

13:20: **V. I. Golubev** (MIPT, Russia)

Simulation of 3-D seismic responses from curvilinear geological boundaries

Slides

13:55: **P. S. Utkin**, A. I. Lopato (MIPT, Russia)

Mathematical modeling of the long-time evolution of the pulsating detonation wave in the shock-attached frame

Slides

14:30: **N. B. Yavich**, M. S. Malovichko, M. S. Zhdanov (MIPT, Russia)

Efficient preconditioning in 3D marine electromagnetic geophysical modeling

Slides

15:05: **V. I. Zubov,** A. F. Albu (Dorodnicyn Computing Center of RAS, Russia)

The use of fast automatic differentiation technique for solving coefficient inverse problems

Slides

15:40: Coffee break

16:00: **A. G. Yagola** (Moscow State University, Russia)

A priori and a posteriori error estimates for solutions of ill-posed problems

16:35: **M. S. Elaeva,** M. Yu. Zhukov, E. V. Shiryaeva (Financial University under the Government of the Russian Federation, Russia)

Interaction of weak and strong discontinuities for two-component mixture separation

Slides

17:10: **S. P. Vakulenko**, K. A. Volosov,** **N. K. Volosova (Moscow State University of Railway Engineering)

The modulational instability in models of Rayleigh beam lying on the elastic basis

Slides

18:00: Closing