New PDF release: Nonlinear Problems in Mathematical Physics and Related

By Giovanni Alessandrini, Vincenzo Nesi (auth.), Michael Sh. Birman, Stefan Hildebrandt, Vsevolod A. Solonnikov, Nina N. Uraltseva (eds.)

ISBN-10: 1461352347

ISBN-13: 9781461352341

ISBN-10: 1461507774

ISBN-13: 9781461507772

The new sequence, International Mathematical Series based by way of Kluwer / Plenum Publishers and the Russian writer, Tamara Rozhkovskaya is released at the same time in English and in Russian and begins with volumes devoted to the recognized Russian mathematician Professor OlgaAleksandrovna Ladyzhenskaya, at the get together of her eightieth birthday.

O.A. Ladyzhenskaya graduated from the Moscow nation college. yet all through her occupation she has been heavily attached 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 conversant in the nonlinear idea of partial differential equations examining the books on quasilinear elliptic and parabolic equations written via O.A. Ladyzhenskaya with V.A. Solonnikov and N.N. Uraltseva.

Her effects and strategies at the Navier-Stokes equations, and different mathematical difficulties within the idea of viscous fluids, nonlinear partial differential equations and platforms, the regularity idea, a few instructions of computational research are popular. So it truly is no shock that those volumes attracted best experts in partial differential equations and mathematical physics from greater than 15 international locations, who current their new leads to a few of the fields of arithmetic within which the implications, tools, and concepts of O.A. Ladyzhenskaya performed a primary role.

Nonlinear difficulties in Mathematical Physics and comparable TopicsI offers new effects from uncommon experts within the idea of partial differential equations and research. a wide a part of the cloth is dedicated to the Navier-Stokes equations, which play a tremendous position within the conception of viscous fluids. particularly, the life of a neighborhood powerful resolution (in the experience of Ladyzhenskaya) to the matter describing a few unique movement in a Navier-Stokes fluid is proven. Ladyzhenskaya's effects on axially symmetric strategies to the Navier-Stokes fluid are generalized and ideas with quick decay of nonstationary Navier-Stokes equations within the half-space are acknowledged. software of the Fourier-analysis to the examine of the Stokes wave challenge and a few attention-grabbing houses of the Stokes challenge are provided. The nonstationary Stokes challenge can also be investigated in nonconvex domain names and a few Lp-estimates for the first-order derivatives of strategies are bought. New ends up in the idea of absolutely nonlinear equations are awarded. a few asymptotics are derived for elliptic operators with strongly degenerated symbols. New effects also are awarded for variational difficulties hooked up with section transitions of capacity in controllable dynamical platforms, 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 awarded on region formulation, estimates for eigenvalues on the subject of the weighted Laplacian on Metric graph, software of the direct Lyapunov approach in continuum mechanics, singular perturbation estate of capillary surfaces, partly unfastened boundary challenge for parametric double integrals.

Show description

Read Online or Download Nonlinear Problems in Mathematical Physics and Related Topics I: In Honor of Professor O. A. Ladyzhenskaya PDF

Similar physics books

A Personal History of CESR and CLEO at Cornell - download pdf or read online

This priceless e-book is a historic account of the Cornell Electron garage Ring and its major detector facility, CLEO, from their beginnings within the past due 1970's until eventually the tip of information assortment at particle energies above the edge for B meson construction in June 2001. The CESR electron–positron collider used to be the end result of a sequence of electron accelerators built on the Cornell Laboratory of Nuclear reports, beginning in 1945.

Download e-book for iPad: Synoptische Meteorologie: Methoden der Wetteranalyse und by Andreas Bott (auth.)

Das Buch lässt sich in zwei Teile aufspalten. Der erste Teil beschäftigt sich mit einer detaillierten Darstellung moderner Methoden, die zur Beschreibung des momentanen atmosphärischen Zustands dienen. Hierzu gehören unterschiedliche Verfahren zur Datenerfassung, wie z. B. direkte Messungen an Wetterstationen, aber auch Fernerkundungsmethoden.

The Physics and Fabrication of Microstructures and by A. N. Broers (auth.), Dr. Michael J. Kelly, Dr. Claude PDF

Les Houches This wintry weather college on "The Physics and Fabrication of Microstructures" originated with a ecu business selection to enquire in a few aspect the opportunity of custom-designed microstructures for brand spanking new units. starting in 1985, GEC and THOMSON began a collaboration on those matters, supported by way of an ESPRIT furnish from the fee of the ecu Com­ munity.

The art of experimental physics by Daryl W. Preston PDF

Fills the necessity for an experimental physics textual content. There are 3 major sections of the textual content. the 1st is an advent that provides important insights into the significance of the human aspect in physics and lines the process its ancient improvement. This part additionally explains the ambitions of the physics laboratory and the talents you want to grasp to take care of a ``Notebook'' and study facts, and provides a common dialogue of spectroscopy experiments.

Additional info for Nonlinear Problems in Mathematical Physics and Related Topics I: In Honor of Professor O. A. Ladyzhenskaya

Sample text

0 n? Let us give a very elementary but amusing application. For any integer 2 we set fn : B{O, 1) ~ C, fn{z) = Z + Z" In. Area Formulas for u-Harmonic Mappings It is easy to check that In 17 are univalent harmonic mappings. Hence Ifn(B(O, 1))1 = jldetDfnl= j(18zfI2_lfJdI2) = j(1_l z ln-l)= n:1 1r. 2 in a special but interesting case. Assume that E LUX' (R2, Mk) and, in addition, det U takes only two distinct values, say, di and d~. , proportional to the identity) at any point, then we come back to the two-phase problem described in Sec.

From the monotonicity (and the obvious continuity) of the total mass of distribution with density pc regarded as a function of c, which has been proved, it follows that for any value I of the total mass (located between the value of the integral of rdNx and that of RdNx over M) there exists a unique value of the constant c (between the maximum and minimum of the goal function) such that the total mass of the distribution of density pc is equal to I. Thereby we have found a monotonically decreasing function I(c) = J Pc (x)dNx M and its inverse c(I) which is also a monotone function.

49. J. Keller, A theorem on the conductIVity of a composite medIUm, J. Math. Phys. 5 (1964), 548-549. 50. A. M. Dykhne, ConductIVity of a two dimensional two-phase system, Soviet Physics JETP. 32 (1971), 63-65. 51. K. S. Mendelson, EffectIVe conductivity of a two-phase material with cylmdrlcal phase boundarzes, J. AppL Phys. 46 (1975), p. 917. 52. K. A. Lurie and A. V. I. Optimization Theory AppL 42 (2) (1984), 283-304. 53. G. Francfort and F. Murat, Optimal bounds for conduction m two-dimensIOnal, two phase, amsotroplc media, Non-Classical Continuum Mechanics, Lond.

Download PDF sample

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

by Ronald

Rated 4.07 of 5 – based on 9 votes