Andrei Biryuk

Publications:

1. Biryuk A. Lower bounds for derivatives of solutions for NLS. ``Proc. Royal Soc. Edinburgh Sect. A'' Volume 139, Issue 02, April 2009, pp 237-251. pdf file
2. Biryuk A. On Invariant Measures of the 2D Euler Equation. J. Stat. Physics. Vol. 122, no 4, (2006) pp. 597-616. pdf file DOI: 10.1007/s10955-005-8011-0  .   See a very deep review by an anonymous referee.
3. Biryuk A., Craig W., Panferov V. Strong solutions of the Boltzmann equation in one spatial dimension. Comptes rendus Mathematique Vol. 342, no. 11, (2006) pp. 843-848. pdf
4. Biryuk A., Craig W., Ibrahim S. Construction of suitable weak solutions of the Navier-Stokes equation. Contemporary Mathematics, vol.429 (2007) pp. 1-18 pdf
5. Biryuk A., Craig W., Panferov V. Smoothness of solutions for the Boltzmann equation. (in preparation)
6. Biryuk A., Craig W., Ibrahim S. Questions related to the uniqueness problem for weak solutions of the Navier-Stokes system. (in preparation)
7. Biryuk A. Kuksin S. Remarks on the Navier-Stokes Equation. (in preparation)
8. Biryuk A. About marginal density distribution. Preprint 2005. ps file (Russian. English summary)
9. Biryuk A. On Multidimensional Burgers Type Equations with Small Viscosity. Contributions to Current Challenges in Mathematical Fluid Mechanics. Series: Advances in Mathematical Fluid Mechanics, Galdi, Giovanni P.; Heywood, John G.; Rannacher, Rolf (Eds.) 2004, pp. 1-30. Birkhauser, Berlin. Abstract pdf file
10. Biryuk A. Note on the transformation that reduces the Burgers equation to the heat equation. Preprint 2003: mp_arc 03-370. pdf
11. Biryuk A. Distribution of the component of the uniform distribution in a polyhedron. Preprint 2003. ps file (in Russian)
12. Biryuk A. On Spatial Derivatives of Solutions of the Navier-Stokes Equation with Small Viscosity. ``Uspekhi Mat. Nauk'', Vol.57 No 1., (2002) 147-148. translation in Russian Math. Surveys 57 (2002), no. 1, 146-147 Abstract, pdf file
13. Biryuk A. Spectral Properties of Solutions of Burgers Equation with Small Dissipation. Functional Analysis and Its Applications. Vol. 35., No 1., 2001. pp.1-15. postscript file
14. Biryuk A. On generalized equations of Burgers type with small viscosity. Proc. Int. Conf. ``Differential Equations and Related Topics'', Moscow--2001. Abstract.
15. Biryuk A. Spectral Properties of Solutions of the Generalized Burgers Equation ``BAMC-2000'', Manchester--2000.
16. Biryuk A. Estimates for derivatives of the Burgers equations in terms of viscosity. Abstr. Tagungsbericht ``Analytical and Statistical Approaches to Fluid Models'', Oberwolfach--2000. Abstract.