共查询到20条相似文献,搜索用时 31 毫秒
1.
For an infinite one-dimensional system representing a thermally conducting barrier and two semi-infinite reservoirs which it separates, we prove the existence of a unique stationary probability distribution, to which essentially any initial distribution converges for large times.Research partially supported by NSF grant No. PHY-8003298.Research partially supported by NSF grant No. PHY-8201708. 相似文献
2.
In this paper, we give a new genus-3 topological recursion relation for Gromov-Witten invariants of compact symplectic manifolds.
This formula also applies to intersection numbers on moduli spaces of spin curves. A by-product of the proof of this formula
is a new relation in the tautological ring of the moduli space of 1-pointed genus-3 stable curves.
Research of the first author was partially supported by NSF grant DMS-0204824
Research of the second author was partially supported by NSF grant DMS-0505835 相似文献
3.
We prove uniqueness of solutions to the Maxwell-Dirac system in the energy space, namely
. We also give a proof for uniqueness of finite energy solutions to the Maxwell-Klein-Gordon equations, which is simpler than that given in [16].
The first author is partially supported by an NSF grant and an Alfred Sloan fellowship. The second author is supported by JSPS Postdoctoral Fellowships for Research Abroad (2001–2003) 相似文献
4.
Krzysztof Burdzy 《Letters in Mathematical Physics》1993,27(3):239-241
Three-dimensional Brownian path reflected on Brownian path is a free Brownian path.Research partially supported by NSF grant DMS 91-00244. 相似文献
5.
Claude LeBrun Yat-Sun Poon R. O. Wells Jr. 《Communications in Mathematical Physics》1990,126(3):433-452
We generalize the Kodaira Embedding Theorem and Chow's Theorem to the context of families of complex supermanifolds. In particular, we show that every family of super Riemann surfaces is a family of projective superalgebraic varieties.Research supported in part by NSF grant DMS-8704401Research supported in part by NSF grant DMS-4253943Research also supported in part by NSF grant DMS-4253943 相似文献
6.
Recently V. Yakhot, S. Orszag, and their co-workers have suggested that turbulent flows in various regions of space organize into a coherent hierarchy of weakly interacting superimposed approximate Beltrami flows. A mathematical framework is developed here to study organized Beltrami hierarchies in a systematic fashion. This framework is applied to several important classes of examples with universal Beltrami hierarchies. An analysis of the persistence of such Beltrami hierarchies is also presented for general solutions of the Navier-Stokes equations.Research partially supported by grant NSF DMS-860-2031. Sloan research fellowship gratefully acknowledgedThis research was partially supported by grants NSF DMS 86-11110 and DARPA — ONR N00014-86-K-0759 相似文献
7.
We describe a family of random walks in random environments which have exponentially decaying correlations, nearest neighbor transition probabilities which are bounded away from 0, and yet are subdiffusive in any dimensiond<.This author partially supported by NSF grant DMS 83-1080This author partially supported by NSF grant DMS-85-05020 and the Army Research Office through the Mathematical Sciences Institute at Cornell University 相似文献
8.
We consider the scalar wave equation in the Kerr geometry for Cauchy data which is smooth and compactly supported outside
the event horizon. We derive an integral representation which expresses the solution as a superposition of solutions of the
radial and angular ODEs which arise in the separation of variables. In particular, we prove completeness of the solutions
of the separated ODEs.
This integral representation is a suitable starting point for a detailed analysis of the long-time dynamics of scalar waves
in the Kerr geometry.
Research supported by NSERC grant # RGPIN 105490-2004.
Research supported in part by the NSF, Grant No. DMS-010-3998.
Research supported in part by the NSF, Grant No. 33-585-7510-2-30. 相似文献
9.
Counter-examples to the generalized positive action conjecture 总被引:7,自引:0,他引:7
Claude LeBrun 《Communications in Mathematical Physics》1988,118(4):591-596
We give examples of complete locally asymptotically flat Riemannian 4-manifolds with zero scalar curvature and negative mass. The generalized positive action conjecture of Hawking and Pope [5] is therefore false.Research partially supported by NSF grant #DMS-8704401 相似文献
10.
In a paper by Adams, Harnad, and Previato, a ring of Poisson commuting functions which produce isospectral Hamiltonian flows on a space of matrices was described and these flows were related to solutions of associated nonlinear partial differential equations (e.g., the Korteweg-deVries, nonlinear Schrödinger, and Boussinesq equations). In this Letter, we give an alternate proof of the Poisson commutativity of this ring of functions by means of a generating function argument.This research was partially supported by NSF grant DMS-8601995, U.S. Army grant DAAL03-87-K-0110, and the Natural Sciences and Engineering Research Council of Canada. 相似文献
11.
Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping 总被引:10,自引:0,他引:10
We consider a model of hyperbolic conservation laws with damping and show that the solutions tend to those of a nonlinear parabolic equation time-asymptotically. The hyperbolic model may be viewed as isentropic Euler equations with friction term added to the momentum equation to model gas flow through a porous media. In this case our result justifies Darcy's law time-asymptotically. Our model may also be viewed as an elastic model with damping.Research supported in part by Energy Dept. grant DEFG 02-88-ER25053Research supported in part by NSF grant DMS 90-0226 and Army grant DAAL 03-91-G0017 相似文献
12.
In this paper we study the Bogomol'nyi equations of the electroweak theory in the full plane. We will show that, for any distribution of the vortices, there exists a two parameter family of gauge-distinct solutions. Moreover, we also establish some sharp decay rate estimates for these solutions.Research supported in part by NSF grant DMS-88-02858 and DOE grant DE-FG02-86ER250125 相似文献
13.
Two-Dimensional Critical Percolation: The Full Scaling Limit 总被引:3,自引:1,他引:2
We use SLE
6 paths to construct a process of continuum nonsimple loops in the plane and prove that this process coincides with the full continuum scaling limit of 2D critical site percolation on the triangular lattice – that is, the scaling limit of the set of all interfaces between different clusters. Some properties of the loop process, including conformal invariance, are also proved.Research partially supported by a Marie Curie Intra-European Fellowship under contract MEIF-CT-2003-500740 and by a Veni grant of the Dutch Organization for Scientific Research (NWO).Research partially supported by the U.S. NSF under grant DMS-01-04278. 相似文献
14.
Ira Herbst Jacob Sachach Møller Erik Skibsted 《Communications in Mathematical Physics》1996,174(3):509-535
We prove asymptotic completeness for short- and long-rangeN-body Stark Hamiltonians with local singularities of at most Coulomb type. Our results include the usual models for atoms and molecules.Research partially supported by NSF grant DMS 9307147. 相似文献
15.
Alexander Blokh Michał Misiurewicz Nándor Simányi 《Communications in Mathematical Physics》2006,266(1):239-265
We investigate the rotation sets of billiards on the m-dimensional torus with one small convex obstacle and in the square with one small convex obstacle. In the first case the displacement function, whose averages we consider, measures the change of the position of a point in the universal covering of the torus (that is, in the Euclidean space), in the second case it measures the rotation around the obstacle. A substantial part of the rotation set has usual strong properties of rotation sets.The first author was partially supported by NSF grant DMS 0456748.The second author was partially supported by NSF grant DMS 0456526.The third author was partially supported by NSF grant DMS 0457168. 相似文献
16.
Takashi Kimura Jim Stasheff Alexander A. Voronov 《Communications in Mathematical Physics》1995,171(1):1-25
We construct a real compactification of the moduli space of punctured rational algebraic curves and show how its geometry yields operads governing homotopy Lie algebras, gravity algebras and Batalin-Vilkovisky algebras. These algebras appeared recently in the context of string theory, and we give a simple deduction of these algebraic structures from the formal axioms of conformal field theory and string theory.To the memory of Ansgar SchnizerResearch supported by an NSF Postdoctoral Research FellowshipResearch supported in part by NSF grant DMS-9206929 and a Research and Study Leave from the University of North Carolina-Chapel HillResearch supported in part by NSF grant DMS-9108269.A03 相似文献
17.
We study conditions under which an odd symmetry of the integrand leads to localization of the corresponding integral over
a (super)manifold. We also show that in many cases these conditions guarantee exactness of the stationary phase approximation
of such integrals.
Research is partially supported by NSF grant No. DMS-9500704. 相似文献
18.
In this paper, we prove a rigidity theorem of asymptotically hyperbolic manifolds only under the assumptions on curvature. Its proof is based on analyzing asymptotic structures of such manifolds at infinity and a volume comparison theorem.The first author’s research is partially supported by NSF grant of China.The second author’s research is partially supported by an NSF grant and a Simon fund. 相似文献
19.
F. Finster N. Kamran J. Smoller S.-T. Yau 《Communications in Mathematical Physics》2006,264(2):465-503
We consider the Cauchy problem for the massless scalar wave equation in the Kerr geometry for smooth initial data compactly
supported outside the event horizon. We prove that the solutions decay in time in L
∞
loc. The proof is based on a representation of the solution as an infinite sum over the angular momentum modes, each of which
is an integral of the energy variable ω on the real line. This integral representation involves solutions of the radial and angular ODEs which arise in the separation
of variables.
Research supported in part by the Deutsche Forschungsgemeinschaft.
Research supported by NSERC grant #RGPIN 105490-2004.
Research supported in part by the NSF, Grant No. DMS-010-3998.
Research supported in part by the NSF, Grant No. 33-585-7510-2-30.
An erratum to this article is available at . 相似文献
20.
Ira Herbst Jacob Schach Møller Erik Skibsted 《Communications in Mathematical Physics》1995,174(2):261-294
We prove that the spectrum for a large class ofN-body Stark Hamiltonians is purely absolutely continuous. We need slow decay at infinity and local singularities of at most Coulomb type. In particular our results include the usual models for atoms and molecules.Research partially supported by NSF grant DMS 9307147. 相似文献