Results 1-20 of 1041
期刊文章
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE
2020-07
[ABSTRACT] In this paper, we solve Gallay's conjecture on the spectral lower bound and pseudospectral bound for the linearized operator of the Navier-Stokes e...
[KEYWORDS] NAVIER-STOKES; ENHANCED DISSIPATION; STABILITY; EXISTENCE; EQUATIONS; FLOW; 0701 数学;
期刊文章
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
2020-11
[ABSTRACT] We present two practical and widely applicable methods, including some criteria and a general procedure, for detecting Brunnian property of a link,...
[KEYWORDS] 0701 数学;
期刊文章
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
2021-04
[ABSTRACT] Let (M, g) be an asymptotically flat Riemannian 3-manifold with nonnegative scalar curvature and positive mass. We show that each leaf of the canon...
[KEYWORDS] 0701 数学;
期刊文章
SCIENCE CHINA-MATHEMATICS
2020-03
[ABSTRACT] Existing critical point theories including metric and topological critical point theories are difficult to be applied directly to some concrete pro...
[KEYWORDS] 1-LAPLACIAN; CUT; 0701 数学;
[ABSTRACT] Consider aC(1)vector field together with an ergodic invariant probability that haslnonzero Lyapunov exponents. Using orthonormal moving frames alon...
[KEYWORDS] 0701 数学;
期刊文章
SCIENCE CHINA-MATHEMATICS
2020-05
[ABSTRACT] In this article, a family of H-2-nonconforming finite elements on tetrahedral grids is constructed for solving the biharmonic equation in 3D. In th...
[KEYWORDS] SPACES; 0701 数学;
期刊文章
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
2020-05
[ABSTRACT] Based on the a priori estimates in our previous work, we continue to investigate the water-waves problem in a bounded two-dimensional corner domain...
[KEYWORDS] FREE-BOUNDARY PROBLEM; GLOBAL-SOLUTIONS; EULER-EQUATIONS; SOBOLEV SPACES; CAUCHY-PROBLEM; CONTACT LINES; SINGULARITIES; EXISTENCE; MOTION; SYSTEM; 0701 数学;
[ABSTRACT] We obtain the exact values of the systoles of these hyperbolic surfaces of genus g with cyclic symmetry of the maximum order and the next maximum o...
[KEYWORDS] PERIODIC MAPS; 0701 数学;
期刊文章
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
2020-05
[ABSTRACT] We study the global well-posedness and existence of uniform attractor for magnetohydrodynamic (MHD) equations. The hydrodynamic system consists of ...
[KEYWORDS] NAVIER-STOKES EQUATIONS; SUITABLE WEAK SOLUTIONS; PARTIAL REGULARITY; FLUID; SYSTEM; PROOF; TIME; 0701 数学;
[ABSTRACT] For odd N >= 5, we establish a short exact sequence about motivic double zeta values zeta(m)(r, N -r) with r >= 3 odd, N-r >= 2. From this we class...
[KEYWORDS] 0701 数学;
期刊文章
SCIENCE CHINA-MATHEMATICS
2020-07
[ABSTRACT] In this paper, we prove that any kappa-noncollapsed gradient steady Ricci soliton with nonnegative curvature operator and horizontally epsilon-pinc...
[KEYWORDS] ROTATIONAL SYMMETRY; MANIFOLDS; 0701 数学;
期刊文章
GEOMETRIAE DEDICATA
2021-03
[ABSTRACT] Let X be a minimal projective threefold of general type over C with only Gorenstein quotient singularities, and let Aut(Q) (X) be the subgroup of a...
[KEYWORDS] 0701 数学;
期刊文章
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
2021-03
[ABSTRACT] It is known that the solutions to space-fractional diffusion equations exhibit singularities near the boundary. Therefore, numerical methods discre...
[KEYWORDS] 0701 数学;
期刊文章
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
2020-08
[ABSTRACT] We prove the Yau-Tian-Donaldson conjecture for anyDOUBLE-STRUCK CAPITAL Q-Fano variety that has a log smooth resolution of singularities such that ...
[KEYWORDS] KAHLER-EINSTEIN METRICS; UNIFORM K-STABILITY; ENERGY; CURVATURE; LIMITS; VALUATIONS; CONTINUITY; EXISTENCE; SEQUENCES; BUNDLES; 0701 数学;
[ABSTRACT] In the first part of this paper, we consider the problem of fill-in of nonnegative scalar curvature (NNSC) metrics for a triple of Bartnik data (Si...
[KEYWORDS] COMPACT MANIFOLDS; ENERGY; MASS; 3-MANIFOLDS; POSITIVITY; CONJECTURE; PROOF; 0701 数学;
期刊文章
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
2020-08
[ABSTRACT] Consider aC(infinity)closed connected Riemannian manifold(M,g)with negative sectional curvature. The unit tangent bundleSMis foliated by the (weak)...
[KEYWORDS] INVARIANT-MEASURES; VOLUME GROWTH; SRB MEASURES; ENTROPY; FOLIATIONS; INFINITY; 0701 数学;
期刊文章
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
2020-09
[ABSTRACT] In this paper, we study the transition threshold of the 3D Couette flow in Sobolev space at high Reynolds numberRe. It was proved that if the initi...
[KEYWORDS] SUBCRITICAL TRANSITION; ENHANCED DISSIPATION; STABILITY; METASTABILITY; 0701 数学;
期刊文章
ISRAEL JOURNAL OF MATHEMATICS
2020-10
[ABSTRACT] We prove that all star vector fields, including Lorenz attractors and multi-singular hyperbolic vector fields, admit the intermediate entropy prope...
[KEYWORDS] TRANSITIVE SINGULAR SETS; HYPERBOLIC ATTRACTORS; 0701 数学;
期刊文章
MATHEMATISCHE ANNALEN
2020-08
[ABSTRACT] Mean curvature flow for isoparametric submanifolds in Euclidean spaces and spheres was studied in Liu and Terng (Duke Math J 147(1):157-179, 2009)....
[KEYWORDS] MINIMAL HYPERSURFACES; SPHERE; 0701 数学;
期刊文章
MATHEMATISCHE ZEITSCHRIFT
2020-08
[ABSTRACT] In this paper, we compute Tian's alpha(KxK)(m,k)-invariant on a polarized G-group compactification, where K denotes a maximal compact subgroup of a...
[KEYWORDS] KAHLER-EINSTEIN METRICS; STABLE REDUCTIVE VARIETIES; LOG CANONICAL THRESHOLDS; COMPLEX-SURFACES; 0701 数学;
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