Linear and non-linear waves and oscillations L1: Examples for waves

Linear and non-linear waves and oscillations L1: Examples for waves Robert von Fáy-Siebenbürgen Robertus@sheffield.ac.uk SPARG, Department of Applied Mathematics, The University of Sheffield (UK) http://www.shef.ac.uk/~robertus University of Sheffield

Water waves University of Sheffield

Longitudinal waves University of Sheffield

Transverse waves University of Sheffield

Shock waves University of Sheffield

Sonic boom University of Sheffield

The dynamic Sun Movie: SOHO/EIT (ESA/NASA) University of Sheffield

Helioseismology • more than 100,000 pulsation modes • single mode • three modes • many modes University of Sheffield

Helioseismology • n=14 (radial nodes) • m=16 (poloidal nodes) • l=20 (spherical harmonic degree) • The frequency of this mode determined from the MDI data is 2935.88 0.2 µHz. University of Sheffield

Helioseismology University of Sheffield

Photosphere: sunspots University of Sheffield

Running penumbral waves University of Sheffield

Solar storms: Sun quakes • Solar quakes: high energy electrons slam the solar surface University of Sheffield

Chromospheric spicules spicules University of Sheffield

Earth Peter & von der Lühe (1999) Earth Solar spicules (tornadoes) (BBSO) University of Sheffield

Solar spicules (tornadoes) University of Sheffield

Moreton waves University of Sheffield

Coronal loops University of Sheffield

Coronal loops by TRACE University of Sheffield

Solar atmospheric oscillations SOHO/TRACE examples University of Sheffield

Solar atmospheric oscillations • TRACE:Loop oscillation excited by M4.6 flare (14 July 1998) Movie in TRACE 171 A University of Sheffield

Surfing magnetic loops • Difference image in brightness out from the loop base University of Sheffield

Space Weather University of Sheffield

The end University of Sheffield

Linear and non-linear waves and oscillations L1: Examples for waves