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