This book provides an introduction to three different topics in partial differential equations stemming from applications. The subject of the first course is equilibrium positions of several disks rolling on a wire. In particular, existence and uniqueness of and the exact position for an equilibrium are discussed.
The second course deals with problems arising from acoustics and geophysics where waves propagate in complicated media, the properties of which can only be described statistically. It turns out that if the different scales presented in the problem can be separated, there exists a deterministic result.
The third course is devoted to so-called inverse problems, where one or several parameters of a partial differential equation need to be determined by using, for instance, measurements on the boundary of the domain. The question that arises naturally is what information is necessary to determine the unknown parameters. This question is answered in different settings.
The text is addressed to students and researchers with a basic background in partial differential equations.
Series: Irma Lectures in Mathematics and Theoretical Physics
For Ages: 22+ years old
Number Of Pages: 168
Publisher: De Gruyter
Country of Publication: DE
Dimensions (cm): 24.41 x 16.99
Weight (kg): 0.28