对称问题:纳维尔-斯托克斯问题:the Navier-Stokes problem:英文

Preface 1 Introduction 2 Necessary and Sufficient Conditions for a Scatterer to be Spherically Symmetric 2.1 Scattering by .Potentials 2.2 Scattering by Obstacles 3 Symmetry Problems for the Helmholtz Equation 3.1 A General Symmetry Problem 3.2 Old Symmetry Problem 3.3 Necessary and Sufficient Conditions for S to be a Sphere 3.4 The Pompeiu Problem 4 Other Symmetry Problems 4.1 Volume Potential 4.2 Surface Potential 4.3 Invisible Obstacles 5 Solution to the Navier-Stokes Problem 5.1 A New Approach 5.2 Construction of G 5.3 Solution to Integral Equation for v Satisfies NS Equations 5.4 Uniqueness of the Solution to the Integral Equation 5.5 Existence of the Solution to Integral Equation 5.6 Energy of the Solution 5.7 AtLxitiary Estimates 5.8 Proof of the Uniqueness of the Solution 5.9 Proof of the Existence of the Solution 5.10 Convolution and Positiveness of Distributions 6 Inverse Problem of Potential Theory 6.1 Statement of the Problem 6.2 Proofs Bibliography Author's Biography 编辑手记