Skip to main content

Vortices and Molecular Fracture Transport

  • Chapter
  • First Online:
  • 371 Accesses

Part of the book series: GeoPlanet: Earth and Planetary Sciences ((GEPS))

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  • Beirão da Veiga H (2007) Vorticity and regularity for viscous incompressible flows under the Dirichlet boundary condition. Results and related open problems. J Math Fluid Mech 9:506–516

    Article  Google Scholar 

  • Fan J, Jiang S, Nakamura G, Yong Zhou Y (2011) Logarithmically improved regularity criteria for the Navier–Stokes and MHD equations. J Math Fluid Mech 13(2011):557–571

    Article  Google Scholar 

  • Farwig R, Kozono H, Hermann Sohr H (2009) Energy-based regularity criteria for the Navier–Stokes equations. J Math Fluid Mech 11(2009):428–442

    Article  Google Scholar 

  • Landau LD, Lipshitz JM (1959) Fluid mechanics (Theoretical Physics, v. 6), (translated from Russian by Sykes JB, Reid WH). Pergamon Press, London, p 536

    Google Scholar 

  • Landau LD, Lifszyc JM (2009) Hydrodynamika, (Hydrodynamics) Wydawnictwo Naukowe PWN Warszawa, (in Polish), p 671

    Google Scholar 

  • Nowacki W (1986) Theory of asymmetric elasticity. PWN and Pergamon Press, Warszawa, p 383

    Google Scholar 

  • Teisseyre R (1985) New earthquake rebound theory. Phys Earth Planet Inter 39:1–4

    Article  Google Scholar 

  • Teisseyre R (2001a) Shear band thermodynamic model of fracturing. In: Teisseyre R, Majewski E (eds) Earthquake thermodynamics and phase transformations in the Earth’s interior, vol 76., International geophysics seriesAcademic Press, San Diego, pp 279–292

    Chapter  Google Scholar 

  • Teisseyre R (2001b) Evolution, propagation and diffusion of dislocation fields. In: Teisseyre R, Majewski E (eds) Earthquake thermodynamics and phase transformations in the earth’s interior, vol 76., International Geophysical Series Academic Press, San Diego,San Francisco, NewYork, Boston, London, Sydney, Tokyo, pp 167–198

    Chapter  Google Scholar 

  • Teisseyre R (2008a) Introduction to asymmetric continuum: Dislocations in solids and extreme phenomena in fluids. Acta Geophys 56:259–269

    Article  Google Scholar 

  • Teisseyre R (2008b) Asymmetric continuum: standard theory. In: Teisseyre R, Nagahama H, Majewski E (eds) Physics of asymmetric continua : extreme and fracture processes. Springer, Berlin, pp 95–109

    Chapter  Google Scholar 

  • Teisseyre R (2009) Tutorial on new development in physics of rotation motions. Bull. Seismol.Soc. Am 99(2B):1028–1039

    Article  Google Scholar 

  • Teisseyre R (2010) Fluid theory with asymmetric molecular stresses: difference between vorticity and spin equations. Acta Geophys 58(6):1056–1071

    Article  Google Scholar 

  • Teisseyre R (2011) Why rotation seismology: Confrontation between classic and asymmetric theories. Bull Seismol Soc Am 101(4):1683–1691

    Article  Google Scholar 

  • Teisseyre R, Górski M (2009a) Fundamental deformations in asymmetric continuum: Motions and fracturing. Bull Seismol Soc Am 99(2B):1028–1039

    Article  Google Scholar 

  • Teisseyre R, Górski M (2009b) Transport in fracture processes: fragmentation and slip. Acta Geophys 57(3):583–599

    Article  Google Scholar 

  • Teisseyre R, Górski M, Teisseyre KP (2006) Fracture-band geometry and rotation energy release. In: Teisseyre R, Takeo M, Majewski E (eds) Earthquake source asymmetry,structural media and rotation effects. Springer, Berlin, pp 169–184

    Chapter  Google Scholar 

  • Teisseyre R, Majewski E (1990) Thermodynamics of line defects and earthquake processes. Acta Geophys Pol 38(4):355–373

    Google Scholar 

  • Teisseyre R, Majewski E (1995) Earthquake thermodynamics. In: Teisseyre R (ed) Theory of earthquake premonitory and fracture processes. PWN, Warszawa, pp 586–590

    Google Scholar 

  • Teisseyre R, Majewski E (2001) Thermodynamics of line defects and earthquake thermodynamics. In: Teisseyre R, Majewski E (eds) Earthquake thermodynamics and phase transformations in the Earth’s interior, vol 76., International geophysics series Academic Press, San Diego, pp 261–278

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Roman Teisseyre .

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Teisseyre, R., Teisseyre-Jeleńska, M. (2014). Vortices and Molecular Fracture Transport. In: Asymmetric Continuum. GeoPlanet: Earth and Planetary Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31860-3_4

Download citation

Publish with us

Policies and ethics