Seminar on nonlinear problems of PDE and mathematical physics on topic: “Nonlinear second order degenerate parabolic equation: existence theorem and exact solutions”

Seminar on nonlinear problems of PDE and mathematical physics on topic: “Nonlinear second order degenerate parabolic equation: existence theorem and exact solutions”

The event passed
14 Mar 2023
Location
Online
Contact person
Ivanov N. O.
About the event

14 March at 17:00 (Moscow time)

Speakers: 

Chief Researcher, Professor Kazakov Alexander (V. M. Matrosov Institute of System Dynamics and Control Theory of SB RAS, Irkutsk, Russia)

Title of the talk: "Nonlinear second order degenerate parabolic equation: existence theorem and exact solutions"

 

Annotation: 

The report concerns the study of a non-linear evolutionary second order parabolic equation with degeneration, which is a mathematical model of several physical and biological processes. We consider solutions having the form of a diffusion (thermal, filtration) wave that propagates over a zero background with a finite velocity. An existence and uniqueness theorems are proved in the class of piecewise analytical functions. We also obtain and study exact solutions, whose construction reduces to integrating of the Cauchy problem for an ordinary differential equation.

Online

Related eventsAll events
2025
23 - 24 Apr
XVII International Scientific and Practical Conference of young Scientists “Innovative processes in agriculture”
2025
19 Mar
International Scientific Seminar “Climate modeling in urban green infrastructure planning”
2025
19 - 19 Feb
Preraphaelite paintings
2025
26 Feb
International Scientific Seminar “Hydrological modelling in soil constructions of Zaryadye park”