The new series, International Mathematical Series founded by
Kluwer / Plenum Publishers and the Russian publisher, Tamara
Rozhkovskaya is published simultaneously in English and in Russian
and starts with two volumes dedicated to the famous Russian
mathematician Professor Olga Aleksandrovna Ladyzhenskaya, on the
occasion of her 80th birthday.
O.A. Ladyzhenskaya graduated from the Moscow State University.
But throughout her career she has been closely connected with St.
Petersburg where she works at the V.A. Steklov Mathematical
Institute of the Russian Academy of Sciences.
Many generations of mathematicians have become familiar with the
nonlinear theory of partial differential equations reading the
books on quasilinear elliptic and parabolic equations written by
O.A. Ladyzhenskaya with V.A. Solonnikov and N.N. Uraltseva.
Her results and methods on the Navier-Stokes equations, and
other mathematical problems in the theory of viscous fluids,
nonlinear partial differential equations and systems, the
regularity theory, some directions of computational analysis are
well known. So it is no surprise that these two volumes attracted
leading specialists in partial differential equations and
mathematical physics from more than 15 countries, who present their
new results in the various fields of mathematics in which the
results, methods, and ideas of O.A. Ladyzhenskaya played a
fundamental role.
Nonlinear Problems in Mathematical Physics and Related Topics I
presents new results from distinguished specialists in the theory
of partial differential equations and analysis. A large part of the
material is devoted to the Navier-Stokes equations, which play an
important role in the theory of viscous fluids. In particular, the
existence of a local strong solution (in the sense of
Ladyzhenskaya) to the problem describing some special motion in a
Navier-Stokes fluid is established. Ladyzhenskaya's results on
axially symmetric solutions to the Navier-Stokes fluid are
generalized and solutions with fast decay of nonstationary
Navier-Stokes equations in the half-space are stated. Application
of the Fourier-analysis to the study of the Stokes wave problem and
some interesting properties of the Stokes problem are presented.
The nonstationary Stokes problem is also investigated in nonconvex
domains and some Lp-estimates for the first-order derivatives of
solutions are obtained. New results in the theory of fully
nonlinear equations are presented. Some asymptotics are derived for
elliptic operators with strongly degenerated symbols. New results
are also presented for variational problems connected with phase
transitions of means in controllable dynamical systems, nonlocal
problems for quasilinear parabolic equations, elliptic variational
problems with nonstandard growth, and some sufficient conditions
for the regularity of lateral boundary.
Additionally, new results are presented on area formulas,
estimates for eigenvalues in the case of the weighted Laplacian on
Metric graph, application of the direct Lyapunov method in
continuum mechanics, singular perturbation property of capillary
surfaces, partially free boundary problem for parametric double
integrals.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
