Results 71 to 80 of about 11,388 (241)

Supersonic flows of the Euler–Poisson system with nonzero vorticities in three‐dimensional cylinders

Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract We prove the unique existence of three‐dimensional supersonic solutions to the steady Euler–Poisson system in cylindrical nozzles. First, we establish the unique existence of irrotational solutions in a cylindrical nozzle with an arbitrary cross‐section with using weighted Sobolev norms.
Myoungjean Bae, Hyangdong Park
wiley   +1 more source

Quasi-stability and continuity of attractors for nonlinear system of wave equations

Nonautonomous Dynamical Systems, 2021
In this paper, we study the long-time behavior of a nonlinear coupled system of wave equations with damping terms and subjected to small perturbations of autonomous external forces.
Freitas M. M., Dos Santos M. J., Ramos A. J. A., Vinhote M. S., Santos M. L.   +4 more
doaj   +1 more source

Second order perturbation theory for embedded eigenvalues

, 2010
We study second order perturbation theory for embedded eigenvalues of an abstract class of self-adjoint operators. Using an extension of the Mourre theory, under assumptions on the regularity of bound states with respect to a conjugate operator, we prove
B. Simon, E. Balslev, E. Skibsted, E. Skibsted, E.B. Davies, J. Aguilar, J. Dereziński, J. Dereziński, J. Faupin, J. Fröhlich, J. S. Møller, J.S. Møller, K. Yosida, L. Bruneau, L. Cattaneo, L. Cattaneo, M. Hübner, S. Agmon, S. Golénia, S. Golénia, T. Kato, V. Bach, V. Bach, V. Georgescu, V. Georgescu, V. Georgescu, V. Jakšić, W. Amrein, W. Hunziker   +28 more
core   +1 more source

Cone Lattices of Upper Semicontinuous Functions [PDF]

Proceedings of the American Mathematical Society, 1982
Let X X be a compact metric space. A well-known theorem of M. H. Stone states that if Ω \Omega is a vector lattice of continuous functions on X X that separates points and contains a nonzero constant function, then the uniform closure of Ω \Omega is C ...
openaire   +2 more sources

Clifford representatives via the uniform algebraic rank

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract In this paper, we introduce the uniform algebraic rank of a divisor class on a finite graph. We show that it lies between Caporaso's algebraic rank and the combinatorial rank of Baker and Norine. We prove the Riemann–Roch theorem for the uniform algebraic rank, and show that both the algebraic and the uniform algebraic rank are realized on ...
Myrla Barbosa, Karl Christ, Margarida Melo   +2 more
wiley   +1 more source

On some properties of the space of upper semicontinuous functions [PDF]

Acta Mathematica Hungarica, 2019
For a Tychonoff space $X$, we will denote by $USC_{p}(X)$ ($B_1(X)$) a set of all real-valued upper semicontinuous functions (a set of all Baire functions of class 1) defined on $X$ endowed with the pointwise convergence topology. In this paper we describe a class of Tychonoff spaces $X$ for which the space $USC_{p}(X)$ is sequentially separable ...
Alexander V. Osipov, Alexander V. Osipov, E. G. Pytkeev   +2 more
openaire   +4 more sources

Hausdorff dimensions of irreducible Markov hom tree‐shifts

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract This paper features a Cramér's theorem for finite‐state Markov chains indexed by rooted d$d$‐trees, obtained via the method of types in the classical analysis of large deviations. Along with the theorem comes two applications: an almost‐sure type convergence of sample means and a formula for the Hausdorff dimension of the symbolic space ...
Jung‐Chao Ban, Guan‐Yu Lai, Yu‐Liang Wu   +2 more
wiley   +1 more source

A gradient flow approach to the Boltzmann equation

, 2019
We show that the spatially homogeneous Boltzmann equation evolves as the gradient flow of the entropy with respect to a suitable geometry on the space of probability measures which takes the collision process into account.
Erbar, Matthias
core   +1 more source

Characterization of upper semicontinuously integrable functions [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1995
AbstractWe show that for a Henstock-Kurzweil integrable functionffor every ∈ > 0 one can choose an upper semicontinuous gage function δ, used in the definition of the HK-integral if and only if |f| is bounded by a Baire 1 function. This answers a question raised by C. E. Weil.
openaire   +2 more sources

Structure of hyperbolic polynomial automorphisms of C2${\mathbb {C}^2}$ with disconnected Julia sets

Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.
Abstract For a hyperbolic polynomial automorphism of C2$\mathbb {C}^2$ with a disconnected Julia set, and under a mild dissipativity condition, we give a topological description of the components of the Julia set. Namely, there are finitely many “quasi‐solenoids” that govern the asymptotic behavior of the orbits of all nontrivial components.
Romain Dujardin, Mikhail Lyubich
wiley   +1 more source