Partial differential equations and continuum mechanics proceedings of an international conference conducted by the Mathematics Research Center at the University of Wisconsin, Madison, June 7 - 15, 1960
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Madison
Univ. of Wisconsin Press
1961
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| 245 | 1 | 0 | |a Partial differential equations and continuum mechanics |b proceedings of an international conference conducted by the Mathematics Research Center at the University of Wisconsin, Madison, June 7 - 15, 1960 |c ed. by Rudolph E. Langer |
| 264 | 1 | |a Madison |b Univ. of Wisconsin Press |c 1961 | |
| 300 | |a XV, 397 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics Research Center <Madison, Wis.>: Publication |v 5 | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Differential equations, Partial |v Congresses | |
| 650 | 4 | |a Mathematical physics |v Congresses | |
| 650 | 4 | |a Mechanics |v Congresses | |
| 655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |2 gnd-content | |
| 700 | 1 | |a Langer, Rudolph E. |4 edt | |
| 710 | 2 | |a Mathematics Research Center (Madison, Wis.) |e Sonstige |0 (DE-588)2186-6 |4 oth | |
| 830 | 0 | |a Mathematics Research Center <Madison, Wis.> |t Publication |v 5 |w (DE-604)BV001887908 |9 5 | |
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| 940 | 1 | |q HUB-ZB011200803 | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102/PHY 210f 2001 B 5276 |
|---|---|
| DE-BY-TUM_katkey | 488966 |
| DE-BY-TUM_media_number | 040010494572 |
| _version_ | 1816711537833803776 |
| adam_text | CONTENTS
Page
Foreword v
Preface vii
Aspects of Differential Equations in Mathematical Physics . 3
CLAUS MULLER, Technische Hochschule, Aachen,
Germany
The Angular Distribution of Eigenvalues of Non Self adjoint
Elliptic Boundary Value Problems of Higher Order .... 9
SHMUEL AGMON, Hebrew University, Jerusalem, Israel
Certain Indefinite Differential Eigenvalue Problems—The
Asymptotic Distribution of their Eigenfunctions 19
AKE PLEIJEL, University of Lund, Sweden
Bounds for Eigenvalues and the Method of Intermediate
Problems 39
ALEXANDER WEINSTEIN, Institute for Fluid Dynamics and
Applied Mathematics, University of Maryland
Linear Elliptic Equations of Higher Order in two Independent
Variables and Singular Integral Equations, with Applications
to Anisotropic Inhomogeneous Elasticity 55
GAETANO FICHERA, Istituto Matematico, University di
Roma, Rome, Italy
The Propagation of Surface Waves in Anisotropic Media. . . 81
ROBERT STONELEY, The University of Cambridge, England
Finite Deformation of Plates into Shells 95
B. R. SETH, Indian Institute of Technology, Kharagpur,
India
Statistical Fluid Mechanics: Two dimensional Linear Gravity
Waves 107
J. KAMPE DE FE RIET, The University of Lille, France
xi
xii Contents
Page
Continuations of Laplace s Transformation; their Applications
to Differential Equations 137
JEAN LERAY, College de France, Paris, France
On the Regularity Problem for Elliptic and Parabolic Differential
Equations 159
JURGEN MOSER, New York University
Atypical Partial Differential Equations 171
HANS LEWY, University of California, Berkeley
Asymptotic Behavior of the Flow past a Body of a Compressible,
Viscous or Electrically Conducting Fluid 177
ISAO IMAI, The University of Tokyo, Japan
Transonic Gas Flow and the Equations of Mixed Type .... 207
FRANCESCO G. TRICOMI, Universitd di Torino, Turin, Italy
Trans sonic Nozzle Flows found by the Hodograph Method . . 217
T. M. CHERRY, University of Melbourne, Australia
On Existence of Solutions of Partial Differential Equations . . 233
LARS HORMANDER, University of Stockholm, Sweden
Existence and Differentiability Theorems for Variational
Problems for Multiple Integrals 241
CHARLES B. MORREY, Jr., University of California, Berkeley
Contribution to Mathematical Methods Applied in Fluid
Mechanics 271
D. P. RIABOUCHINSKY, Institut Superieur Technique Russe
en France, Paris, France
A Functional Equation Related to the Boltzmann Equation and
to the Equations of Gas Dynamics 289
J. M. BURGERS, Institute for Fluid Dynamics and Applied
Mathematics, University of Maryland
Parabolic Equations with Applications to Boundary Layer Theory 319
KARL NICKEL, Institut fur angewandte Mathematik, Karlsruhe,
Germany
ABSTRACTS
Double Laplace transformations and certain boundary value
problems 333
Dorothy Bernstein Geraldine Coon, Goucher College
Discontinuities in integral transform solutions 335
Bruno A. Boley, Columbia University
Contents xiii
Page
Entire solutions of a class of differential equations of
mixed type 336
Y. W. Chen, New York University
On boundary layer behavior in the superconductor transition
problem 337
Hirsh Cohen W. L. Miranker, IBM Research Center
Modified method of collocations for vibrating plate
problems 338
LaMar I. Deverall, University of California
On uniqueness theorems for hyperbolic differential equations 340
J. B. Diaz W. L. Walter, Institute for Fluid Dynamics,
University of Maryland and Technische Hochschule, Karlsruhe
Beam with a ring for cross section excited by longitudinal
and body forces 340
Alberto Dou, University of Madrid, Spain
Iterative methods for elliptic difference equations .... 342
Jim Douglas, Jr. , Rice University
On variational principles of hydromechanics 344
Stefan Drobot, University of Chicago
Elementary solutions and duality 344
G. F. D. Duff, University of Toronto
The maximum principle and hydrodynamics 346
R. J. Duffin, Duke University
On some partial differential equations of Brownian motion
of a free particle 348
Abolghassem Ghaffari, National Bureau of Standards
Quadratic variational theory and linear elliptic partial
differential equations 350
M. R. Hestenes, University of California
Solution of boundary value problems in elasticity theory
by a method of iteration 351
M. Hete nyi, Northwestern University
Hypersonic flow past blunt bodies at angles of attack . . . 352
Maurice Holt, University of California and Brown University
Orthogonal edge polynomials in the variational solution
of some boundary layer problems in elasticity 353
G. Horvay, General Electric Research Laboratory
xiv Contents
Page
Electrostatic focussing of electron beams by coaxial
cylinders 354
Morton A. Hyman, International Business Machines Corp.
Local properties of functions which have harmonic support 355
Guy Johnson, Rice Institute
The determination of a coefficient in a parabolic differential
equation 356
B. Frank Jones, Rice Institute
Bounding techniques applied to an incompressible steady
non linear Navier Stokes flow 357
Elliot A. Kearsley, National Bureau of Standards
Bounds for solutions of the non linear diffusion equation 358
I. I. Kolodner, University of New Mexico
Inequalities for mixed derivatives 359
J. Korevaar and W. Rudin, University of Wisconsin
The non existence of certain estimates for the wave equation 360
Walter Littman, Mathematics Research Center
Stokes phenomenon in solutions of the Cauchy problem . 362
Donald Ludwig, New York University
A transient problem in the hydrodynamics of thin viscous
films 364
F. A. Lyman E. A. Saibel, Rensselaer Polytechnic Inst.
The construction of the exterior Green s function of first
and second kind for the general ellipsoid in the Laplace
field 365
J. Martinek, H. de Beaumont G. C. K. Yeh, Office
of Naval Research and Reed Research, Inc.
The cut off function an application of Cauchy1 s integral
formula to the semi infinite elastic solid 367
P. H. McDonald, Jr. , North Carolina State College
A Liouville theorem for shallow water waves 367
R. E. Meyer, Brown University
Error estimates for the numerical computation of integrals
which contain solutions of elliptic differential equations 369
Johannes C. C. Nitsche and Joachim Nitsche, University
of Minnesota
On some three dimensional steady state thermoelastic
problems 360
Jerzy Nowinski, Mathematics Research Center
Contents xv
Page
The solution of coupled wave equations by a similarity
method, with applications in acoustics and in the theory
of elastic waves 372
V. M. Papadopoulos, Brown University
Approximation and convergence of finite difference solutions
of some partial differential equations 373
H. Poritsky, General Electric Company
On the passage from the Navier Stokes equations to the
Reynolds equations 374
Gian Carlo Rota, Massachusetts Institute of Technology
Interior estimates for solutions of the Navier Stokes equations 376
James Serrin, University of Minnesota
On mixed initial boundary value problems for symmetric
linear hyperbolic equations 378
Harold Shulman, The Service Bureau Corp.
The laminar boundary layer along a flat plate 380
J. Siekmann, U. S. Naval Ordnance Test Station
On fundamental solutions of the Oseen equations 382
Lawrence Sirovich, New York University
Spectral properties of Hilbert space operators associated
with tidal motions 383
G. W. Veltkamp, University of Utrecht
Error bounds in the Rayleigh Ritz approximation of eigenvectors 384
H. F. Weinberger, University of Maryland
On the fundamental solution for homogeneous systems of
hyperbolic partial differential equations in three independent
variables with constant coefficients 386
Harold Weitzner, New York University
A mixed boundary value problem with applications to periodic
magnetic fields 387
Helmut Werner, University of Southern California
On the singular partial boundary problem 389
FrantiSek Wolf, University of California, Berkeley
INDEX 393
|
| any_adam_object | 1 |
| author2 | Langer, Rudolph E. |
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| author_facet | Langer, Rudolph E. |
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| dewey-sort | 3517.383 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| language | English |
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| physical | XV, 397 S. |
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| publishDate | 1961 |
| publishDateSearch | 1961 |
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| publisher | Univ. of Wisconsin Press |
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| series | Mathematics Research Center <Madison, Wis.> |
| series2 | Mathematics Research Center <Madison, Wis.>: Publication |
| spellingShingle | Partial differential equations and continuum mechanics proceedings of an international conference conducted by the Mathematics Research Center at the University of Wisconsin, Madison, June 7 - 15, 1960 Mathematics Research Center <Madison, Wis.> Mathematische Physik Differential equations, Partial Congresses Mathematical physics Congresses Mechanics Congresses |
| subject_GND | (DE-588)1071861417 |
| title | Partial differential equations and continuum mechanics proceedings of an international conference conducted by the Mathematics Research Center at the University of Wisconsin, Madison, June 7 - 15, 1960 |
| title_auth | Partial differential equations and continuum mechanics proceedings of an international conference conducted by the Mathematics Research Center at the University of Wisconsin, Madison, June 7 - 15, 1960 |
| title_exact_search | Partial differential equations and continuum mechanics proceedings of an international conference conducted by the Mathematics Research Center at the University of Wisconsin, Madison, June 7 - 15, 1960 |
| title_full | Partial differential equations and continuum mechanics proceedings of an international conference conducted by the Mathematics Research Center at the University of Wisconsin, Madison, June 7 - 15, 1960 ed. by Rudolph E. Langer |
| title_fullStr | Partial differential equations and continuum mechanics proceedings of an international conference conducted by the Mathematics Research Center at the University of Wisconsin, Madison, June 7 - 15, 1960 ed. by Rudolph E. Langer |
| title_full_unstemmed | Partial differential equations and continuum mechanics proceedings of an international conference conducted by the Mathematics Research Center at the University of Wisconsin, Madison, June 7 - 15, 1960 ed. by Rudolph E. Langer |
| title_short | Partial differential equations and continuum mechanics |
| title_sort | partial differential equations and continuum mechanics proceedings of an international conference conducted by the mathematics research center at the university of wisconsin madison june 7 15 1960 |
| title_sub | proceedings of an international conference conducted by the Mathematics Research Center at the University of Wisconsin, Madison, June 7 - 15, 1960 |
| topic | Mathematische Physik Differential equations, Partial Congresses Mathematical physics Congresses Mechanics Congresses |
| topic_facet | Mathematische Physik Differential equations, Partial Congresses Mathematical physics Congresses Mechanics Congresses Konferenzschrift |
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