Events

Topic:  Inverse function theorem and proof.

Topic: An approach to the description of rotating and spiral waves in a thin ring will be considered in case of a model of a nonlinear optical system with delay.

Andreas Deutsch, Professor of Technical University of Dresden, will hold a workshop "Mechanisms of cancer growth, invasion, and progression: a biomathematical modeling analysis".

Research of the department is directed at the development of innovative mathematical models and simulation tools to detect organizational principles of selected biological systems. Researchers focus on "cellular systems" which possess a multitude of interaction mechanisms whose cooperative interplay guarantees in particular the development of organismic forms. Disorders in cell interaction can lead to diseases and malignant pattern formation (e.g. tumor growth). Important insights into function and regulation of biological systems can be gained by linking mathematical modeling and computational tools with biological/medical in vitro, and in vivo data. The staff work on interdisciplinary projects on the basis of local, national, and international cooperation. They develop the software Morpheus, a modeling and simulation environment for the study of multiscale and multicellular systems.

Topic: Connection of inequalities for a maximal operator in Morrey-type spaces and inequalities for a Hardy operator for monotonically decreasing functions.

Speaker: Malygina Vera V., candidate of physical and mathematical sciences, associate professor, leading researcher, Functional Differential Equations Research Center, Perm National Research Polytechnic University, Perm, Russia.

Speaker: Liiko Victoriia, PhD student of The Mathematical Institute of RUDN University.

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;