Singular Problems, Blow-up, and Regimes with Peaking in Nonlinear PDEs
Main topics of the conference: Blow-up and singularities for nonlinear PDEs; Peaking regimes in nonlinear evolution equations; Large solutions of nonlinear elliptic and parabolic equations and systems;
Mathematical modelling in biomedicine
The conference will present the state of the art in mathematical modelling in biomedicine including cardiovascular diseases, cancer modelling, mathematical oncology. Methods of modelling and mathematical analysis of the corresponding models will also be discussed.
Scientific seminar on the differential and functional differential equation under the guidance of prof. Sternin B. Yu. and prof. Savin A.Yu.
Topic: Emergence of singularities in the Euler equation for viscous incompressible fluids.
A series of lectures on functional differential equations and applications to medicine
Dr. Hans-Otto Walther, Professor of Giessen University, will visit the S.M. Nikol’skii Mathematical Institute with a series of lectures on functional differential equations and applications to medicine.
Seminar on Mathematical Modeling in Biology and Medicine under the Guidance of Prof. V. Volpert
Various processes in chemical physics, population dynamics and biomedical applications are described by so-called monotone reaction-diffusion systems characterized by the applicability of the maximum principle. This lecture will be devoted to the theory of reaction-diffusion waves for such systems and to some of its applications.
Scientific seminar on the differential and functional differential equation under the guidance of Professor A.L. Skubachevskii
Topic: Reduction of the Riemann hypothesis to the Poincaré – Riemann – Hilbert boundary value problem.
Seminar on nonlinear problems of PDE and mathematical physics (chief prof. A.E. Shishkov)
We will prove the existence of the solitons of generalized Kawahara equation which converge to the solitons of generalized Korteweg-de Vries equation in all Sobolev spaces. We will prove the Linear and Nonlinear Liouville Property for generalized Kawahara equation with this family of Solitons. Sketch of the proof of the Orbital Stability of this family of solitons will be presented.