Special Session 4: Mathematical methods in electromagnetism and related topics
Maxwell`s Equations and its Real Relatives
Rainer Picard
TU Dresden, Institute for Analysis Germany
Co-Author(s): Rainer Picard, Sascha Trostorff, Marcus Waurick
Abstract:
We recall the concept of evo-systems and illustrate their utility for unifying different fields in mathematical physics and engineering. The Maxwell system and its (possibly surprising) relatives are a particular topic of interest. We shall be discussing various classical systems of partial differential equations of classical mathematical physics emphasizing a setup in a real Hilbert space setting. As a byproduct the common perception that modern physics appears to be entangled with complex numbers will turn out to be slightly misleading.