Seminar on nonlinear problems of PDE and mathematical physics on topic: “The Cauchy problem for a nonlinear Sobolev equation theories of ferroelectricity” (chair prof. A.E. Shishkov)

Seminar on nonlinear problems of PDE and mathematical physics on topic: “The Cauchy problem for a nonlinear Sobolev equation theories of ferroelectricity” (chair prof. A.E. Shishkov)

The event passed
23 May 2023
Location
Online
About the event

On May 23 at 18:00 p.m. (Moscow time)

Speaker: Shafir R. S. (Physics faculty of Lomonosov Moscow State University).

Topic: "The Cauchy problem for a nonlinear Sobolev equation theories of ferroelectricity".

Annotation

This problem arises when considering an anisotropic ferroelectric near the Curie temperature with anisotropy along the Oz axis and taking into account the model time dispersion

The main results of the study:

  1. A fundamental solution is constructed and its exact estimates are obtained;
  2. The properties of the volume potential are studied;
  3. On the basis of potential theory, conditions are obtained under which a weak generalized solution of the Cauchy problem exists;
  4. Conditions for the instantaneous blow-up of a weak solution of the Cauchy problem are obtained.

Online

Related eventsAll events
2025
2 Apr
Meeting of the Consortium Council members and Ambassadors of Russian Education and Science
2025
2 Apr
“The Prepared Witness: Towards the Phenomenology of Protocol Statements”, the speaker — Georgy Chernavin, PhD, professor, National Research University “Higher School of Economics” (HSE University)
2025
28 Mar
“How is an objective representation of the world possible in perception?”, the speaker — Andrei Kochenkov, student, Russian State University of Humanities (RSUH)
2025
16 Jun - 28 Aug
The Digital Pre-University Faculty organises summer schools “Dive into Russian in Moscow” for foreign citizens