Results 81 to 90 of about 1,839,360 (254)

General infinitesimal variations of the Hodge structure of ample curves in surfaces

Mathematische Nachrichten, Volume 298, Issue 7, Page 2282-2308, July 2025.
Abstract Given a smooth projective complex curve inside a smooth projective surface, one can ask how its Hodge structure varies when the curve moves inside the surface. In this paper, we develop a general theory to study the infinitesimal version of this question in the case of ample curves.
Víctor González‐Alonso, Sara Torelli
wiley   +1 more source

A well‐posed variational approach to the identification and convergent approximation of material laws from boundary data

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 7, July 2025.
Abstract We formulate the problem of material identification as a problem of optimal control in which the deformation of the specimen is the state variable and the unknown material law is the control variable. We assume that the material obeys finite elasticity and that the deformation of the specimen is in static equilibrium with prescribed boundary ...
Sergio Conti, Michael Ortiz
wiley   +1 more source

On the upper semicontinuity of global attractors for damped wave equations

AIMS Mathematics, 2017
We provide a new proof of the upper-semicontinuity property for the global attractorsadmitted by the solution operators associated with some strongly damped wave equations.
Joseph L. Shomberg
doaj   +1 more source

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

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

Nonautonomous attractors of skew-product flows with digitized driving systems

Electronic Journal of Differential Equations, 2001
The upper semicontinuity and continuity properties of pullback attractors for nonautonomous differential equations are investigated when the driving system of the generated skew-product flow is digitized.
R. A. Johnson, Peter E. Kloeden
doaj  

Set-Valued Symmetric Generalized Strong Vector Quasi-Equilibrium Problems with Variable Ordering Structures

Mathematics, 2020
In this paper, two types of set-valued symmetric generalized strong vector quasi-equilibrium problems with variable ordering structures are discussed.
Jing-Nan Li, San-Hua Wang, Yu-Ping Xu
doaj   +1 more source

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

Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems

Journal of Applied Mathematics, 2005
We investigate the existence of a global attractor and its upper semicontinuity for the infinite-dimensional lattice dynamical system of a partly dissipative reaction diffusion system in the Hilbert space l2×l2.
Ahmed Y. Abdallah
doaj   +1 more source

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