Differential Equations

Download PDF by Michael Sh. Birman,Stefan Hildebrandt,Vsevolod A.: Nonlinear Problems in Mathematical Physics and Related

By Michael Sh. Birman,Stefan Hildebrandt,Vsevolod A. Solonnikov,Nina N. Uraltseva

The new sequence, International Mathematical Series based via Kluwer / Plenum Publishers and the Russian writer, Tamara Rozhkovskaya is released at the same time in English and in Russian and starts off with volumes devoted to the recognized Russian mathematician Professor Olga Aleksandrovna Ladyzhenskaya, at the celebration of her eightieth birthday.

O.A. Ladyzhenskaya graduated from the Moscow country college. yet all through her profession she has been heavily hooked up with St. Petersburg the place she works on the V.A. Steklov Mathematical Institute of the Russian Academy of Sciences.

Many generations of mathematicians became acquainted with the nonlinear thought of partial differential equations examining the books on quasilinear elliptic and parabolic equations written through O.A. Ladyzhenskaya with V.A. Solonnikov and N.N. Uraltseva.

Her effects and techniques at the Navier-Stokes equations, and different mathematical difficulties within the idea of viscous fluids, nonlinear partial differential equations and structures, the regularity concept, a few instructions of computational research are renowned. So it's no shock that those volumes attracted major experts in partial differential equations and mathematical physics from greater than 15 international locations, who current their new leads to many of the fields of arithmetic within which the implications, tools, and ideas of O.A. Ladyzhenskaya performed a primary role.

Nonlinear difficulties in Mathematical Physics and similar Topics I provides new effects from exclusive experts within the conception of partial differential equations and research. a wide a part of the cloth is dedicated to the Navier-Stokes equations, which play a tremendous function within the conception of viscous fluids. particularly, the lifestyles of an area powerful answer (in the experience of Ladyzhenskaya) to the matter describing a few specific movement in a Navier-Stokes fluid is tested. Ladyzhenskaya's effects on axially symmetric strategies to the Navier-Stokes fluid are generalized and options with speedy decay of nonstationary Navier-Stokes equations within the half-space are acknowledged. program of the Fourier-analysis to the examine of the Stokes wave challenge and a few fascinating houses of the Stokes challenge are awarded. The nonstationary Stokes challenge can also be investigated in nonconvex domain names and a few Lp-estimates for the first-order derivatives of suggestions are bought. New ends up in the idea of totally nonlinear equations are offered. a few asymptotics are derived for elliptic operators with strongly degenerated symbols. New effects also are awarded for variational difficulties attached with section transitions of skill in controllable dynamical structures, nonlocal difficulties for quasilinear parabolic equations, elliptic variational issues of nonstandard development, and a few enough stipulations for the regularity of lateral boundary.

Additionally, new effects are provided on quarter formulation, estimates for eigenvalues relating to the weighted Laplacian on Metric graph, program of the direct Lyapunov approach in continuum mechanics, singular perturbation estate of capillary surfaces, in part loose boundary challenge for parametric double integrals.

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Nonlinear Problems in Mathematical Physics and Related Topics I: In Honor of Professor O. A. Ladyzhenskaya (International Mathematical Series) by Michael Sh. Birman,Stefan Hildebrandt,Vsevolod A. Solonnikov,Nina N. Uraltseva

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