Navier-Stokes Equations
Three millennium problems
The 3D-NSE millenium problem
"rotating ideal fluids" concept
airfoil uplift force model
wave radiation model
wavelet microscope
Stefan problem and BEM
wavelet extension methods
space-scale turbulence
J. Plemelj and ...
... the Green formula
... the "pressure" arte-fact
... the "line of force" arte-fact
... the "manifold" arte-fact
... the "string" arte-fact
J. A. Nitsche
lecture notes
treasure chest
references
accessable via internet
Ahner J., On the eigenvalues of the electrostatic integral operator.pdf
[439.2 KB]
Andreucci D., Lecture notes on the Stefan problem.pdf
[418.9 KB]
Arbogast T., Wheeler M., A nonlinear mixed FEM for a degenerate parabolic equation arinsing in flow in porous media.pdf
[1.7 MB]
Bellout H., et. all, On the Navier-Stokes equations with boundary conditions based on vorticity.pdf
[432.7 KB]
Bemelsmans J., Eine Aussenraumaufgabe fuer die instationaeren Navier-Stkoes-Gleichungen.pdf
[1.1 MB]
Bemelsmans J., Free boundary problems for the Navier-Stokes equations.pdf
[981.8 KB]
Bemelsmans J., Liquid drops in a viscous fluid under the influence of gravity and surface tension.pdf
[677.8 KB]
Bemelsmans J., On a free boundary problem for the stationary Navier-Stokes equations.pdf
[2 MB]
Bemelsmans L., Navier-Stokes equations in exterior domains.pdf
[392.4 KB]
Braun K., Interior Error Estimates of the Ritz Method for Pseudo-Differential Eqautions.pdf
[2.4 MB]
Braun K., A new ground state energy model.pdf
[980.3 KB]
Brezis H., Browder F. E., Strongly nonlinear parabolic initial-boundary value problems.pdf
[419 KB]
Brezis H., Caznave T.,A nonlinear heat equation with singular data.pdf
[986 KB]
Clutterbuck J., Parabolic equations with continuous initial data.pdf
[797.4 KB]
Cannone M., Harmonic analysis tools for solving the incompressible N-S equations.pdf
[981.5 KB]
Chouly F., A Nitsche-based domain decomposition method for hypersingular integral equations.pdf
[251.4 KB]
Constantin P. et. all. Hoelder Continuity of Solutions of 2D Navier-Stokes Equations with Singular Forcing.pdf
[151.9 KB]
Constantin P., On the Euler equations of the incompressible fluids.pdf
[222.1 KB]
Constantin P., Remarks on the Navier-Stokes and surface Quasi-Geostrophic Equations.pdf
[1.1 MB]
Cui S., Global well-posedness of the 3-D N-S-E initial value problem in L(p).pdf
[165.4 KB]
Donaldson S. K., Lectures on Lie Groups and Geometry.pdf
[435.4 KB]
Farwig R., Extensions of Serrin s uniqueness and regularity conditions for the Navier-Stokes equations.pdf
[340.4 KB]
Farwig R., Kozono H., Sohr H., Global weak solutions of the N-S-system with nonzero boundary conditions.pdf
[172 KB]
Farwig R., Sohr H., the largest possible initial value space for local strong solutions of the Navier-Stokes equations in general domains.pdf.pdf
[156.4 KB]
Finn R., On the steady state solutions of the Navier-Stokes equations III.pdf
[2 MB]
Gala S., A note on the uniqueness of weak solutions for the Navier-Stokes equations.pdf
[124.4 KB]
Galdi G., An Introduction to the Navier-Stokes Initial-Boundary Value Problem.pdf
[419.9 KB]
Galdi G., The Navier-Stokes equations A mathematical analysis.pdf
[945.8 KB]
Germain P. et. al. Regularity of solutions to the Navier-Stoke equations evolving from small data in BMO (-1).pdf
[235.9 KB]
Giga Y., Characterizing blow-up using similarity variables.pdf
[2.6 MB]
Giga Y., On estimates in Hardy spaces for the Stokes flow in a half space.pdf
[291.6 KB]
Giga Y., Two dimensional N-S Flow with measure as initial vorticity.pdf
[3.1 MB]
Ghoussoub N., Antisymmetric Hamiltonian Variational Resolutions for Navier-Stokes and other Nonlinear Evolutions.pdf
[375.2 KB]
Ghoussoub N., A variational principle for nonlinear transport equations.pdf
[241.5 KB]
Giga Y., Weak and strong solutions of the Navier-Stokes initial value problem.pdf
[2.1 MB]
Guenther R., Fundamental solutions of Stokes and Oseen problem in two spacial dimensions.pdf
[170.6 KB]
Heywood J., A counter example concerning the pressure in the Navier-Stokes equations as t to zero.pdf
[802.5 KB]
Heywood J., Classical solutions of the NS equations.pdf
[643.4 KB]
Heywood J., On the impossibility, in some cases, of the Leray Hopf condition for energy estimates.pdf
[166.7 KB]
Hoellig K., Linear parabolic equations with a singular lower order coefficient I.pdf
[4 MB]
Hoellig K., A Nonlinear integral equation occuring in a singular free boundary problem.pdf
[709 KB]
Hoffman J., Johnston C., On the uniqueness of weak solutions of Navier-Stokes equations remarks on a Clay Institute Prize Problem.pdf
[509.8 KB]
Hoellig K., Linear parabolic equations with a singular lower order coefficient II.pdf
[2.1 MB]
Hopf E., Ein Allgemeiner Endlichkeitssatz der Hydrodynamik.pdf
[801 KB]
Ibrahim H., A generalization of a logarithmic Sobolev inequality to the Hoelder class.pdf
[149.9 KB]
Jiang S. et. all., Integral equation methods for unsteady Stokes flow in two dimensions.pdf
[548.7 KB]
Kato J. On the uniqueness of nondecaying solutions for the Navier-Stokes equations.PDF
[640.9 KB]
Koch H. et. all. Well-posedness for the Navier-Stokes equations.pdf
[161.7 KB]
Ladyzhenskaya O., Math analysis of N-S-E for incompressible liquids.pdf
[1.3 MB]
Lee H. at. all Error estimates for a single-phase nonlinear Stefan problem in one space dimension.pdf
[357.9 KB]
Lemarie P.-G. et. all. The Navier-Stokes Equations with data in BMO(-1).pdf
[241.7 KB]
Lerner N., A note to the Oseen kernel.pdf
[202.7 KB]
Lewis J., C. Parenti C., Pseudodifferential operators and Hardy kernels on L(p).pdf
[1.4 MB]
Miyakawa T., On L1 stability of stationary Navier-Stokes flows in R(n).pdf
[316.1 KB]
Montgomery S., A counter example to the smoothness of the solution to an equation arising in fluid mechanics.pdf
[175.7 KB]
Muckenhoupt B., Stein E. M., Classical expansions and their relation to conjugate harmonic functions.pdf
[4.8 MB]
Prodi G., Teoremi di locale il sis terma di N-S e stabilita delle soluzoni stazionaryle.pdf
[1.3 MB]
Rannacher R., Finite Element Methods for the Incompressible Navier-Stokes Equations.pdf
[3.2 MB]
Rannacher R., Numerical analysis of the N-S equations.pdf
[1.8 MB]
Rannacher R., On the FE approximation of the nonstationary NS problem.pdf
[650.8 KB]
Raviart P., Finite element methods and Navier-Stokes equations.pdf
[753.1 KB]
Runge C., Ueber eine Analogie der C-R- Differentialgleichungen in drei Dimensionen.pdf
[605.6 KB]
Schaftingen J., Function spaces between BMO and critical Sobolev spaces.pdf
[229.3 KB]
Siljander J., Regularity for degenerate nonliner parabolic partial differential equations.pdf
[289.5 KB]
Solonnikov V. A. On estimates of solutions of the non-stationry Stokes problem in anisotropic Sobolev spaces and on estimates for the resolvent of the Stokes operator.pdf
[467.2 KB]
Stein E.M., Singular Integrals and Estimates for the Cauchy-Riemann Equations.pdf
[546.9 KB]
Stein E. M., Weiss G., Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group.pdf
[2.4 MB]
Thomee V., Galerkin FEM for parabolic problems.pdf
[857.8 KB]
Thomee V., Max stability, smoothing and resolvent estimates for parabolic FE equations.pdf
[169.1 KB]
Tsai T., On Lerray s self-similar solutions of the N-S-E satisfying local energy estimates.pdf
[225.7 KB]
Verfuerth R., FE approximation of steady N-S-E with mixed boundary conditions.pdf
[967.4 KB]
Zahai J., Reg of learay-hopf sol to N-S-E blow up with small L(2) data.pdf
[194.7 KB]
Cui S., Global well-posedness of the 3-D N-S-E initial value problem in L(p).pdf
[165.4 KB]
Guenther R. B., Thomann E. A., Fundamental solutions of Stokes and Oseen problem in two spacial dimensions.pdf
[170.6 KB]
Le H., V., Hypersingular integral operatos along surfaces.pdf
[502.3 KB]
Lewandowski R., Function spaces usefull for 3D periodic N-S equations.pdf
[231.1 KB]
Lewis J., Parenti C., Pseudodifferential operators and Hardy kernels on L(p).pdf
[1.4 MB]
Mahiub M., Numerical solution of hypersingular integral equations.pdf
[354.7 KB]
Wang Z. et. al. Weak type estimates for commutators generated by the Riesz transform associated with Schroedinger operators.pdf
[284.1 KB]
Choi K., Vasseur A. F., Estimates on fractional higher derivatives of weak solutions for the Navier-Stokes equations.pdf
[529 KB]
Nirenberg L., On nonlinear elliptic partial differential equations and Hoelder continuity.pdf
[6.2 MB]
Titchmarsh E. C., The Theory of the Riemann Zeta-function, 2.11, A general formula involving Zeta(s).pdf
[381.4 KB]