Rouslan Krechetnikov
Contact
Professor, Faculty of Science  Mathematics & Statistical Sciences
 krechet@ualberta.ca
 Phone
 (780) 4921926
 Address

3267 Centennial Ctr For Interdisciplinary SCS II
11335 Saskatchewan Drive NWEdmonton ABT6G 2H5
Overview
Research
Areas
Applied Mathematics, Theoretical Experimental Fluid Dynamics, Partial Differential Equations
Courses
MATH 300  Advanced Boundary Value Problems
Derivation of the classical partial differential equations of applied mathematics, solutions using separation of variables. Fourier expansions and their applications to boundary value problems. Introduction to Fourier Transforms. Emphasis on building an appropriate mathematical model from a physical problem, solving the mathematical problem, and carefully interpreting the mathematical results in the context of the original physical problem. Prerequisites: MATH 201 and 209. Notes: (1) Open only to students in Engineering, Specialization Physics, and Specialization Geophysics. (2) Credit can be obtained in at most one of MATH 300 and 337. (3) Course cannot be taken for credit if credit has been obtained in ECE 341.
MATH 539  Applied Functional Analysis
Linear part:structure of function spaces, Sobolev spaces, embeddings, topologies, linear operators, adjoint and inverse operators, spectra, distributions, semigroup theory, integral equations, wellposedness and the notion of a solution. Nonlinear part: inequalities, Frechet and Gateaux derivatives, fixed point theorems. Applications from mechanics, reactiondiffusion equations, the NavierStokes equations, nonlinear Schrödinger equation. Prerequisite: MATH 438 or equivalent.