Rouslan Krechetnikov

Professor, Faculty of Science - Mathematics & Statistical Sciences

Contact

Professor, Faculty of Science - Mathematics & Statistical Sciences
Email
krechet@ualberta.ca
Phone
(780) 492-1926
Address
3-267 Centennial Ctr For Interdisciplinary SCS II
11335 Saskatchewan Drive NW
Edmonton AB
T6G 2H5

Overview

Research

Areas

Applied Mathematics, Theoretical Experimental Fluid Dynamics, Partial Differential Equations

Courses

MA PH 451 - Mathematical Methods of Physics I

Application to problems in physics of method of steepest descent, Fourier and Laplace transforms; boundary-value problems, integral equations, and Green's functions. Prerequisites: MATH 311 or 411, and 337, or equivalents.

Winter Term 2021
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, well-posedness and the notion of a solution. Nonlinear part: inequalities, Frechet and Gateaux derivatives, fixed point theorems. Applications from mechanics, reaction-diffusion equations, the Navier-Stokes equations, nonlinear Schrödinger equation. Prerequisite: MATH 438 or equivalent.

Winter Term 2021

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