Results 21 to 30 of about 225 (104)
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We investigate an initial‐boundary value problem of non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity in three‐dimensional bounded domains. Based on the time‐weighted energy estimates, we derive the existence of a unique global strong solution under some smallness condition.
Lu Zhang, Xin Zhong
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A Posteriori Estimates For A Coupled Piezoelectric Model With Uncertain Data
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 3, September 2026.ABSTRACT The paper is concerned with a coupled piezo‐electric problem with incompletely known coefficients of the elasticity tensor and two other tensors that define electric properties of the media. Due to this uncertainty, the problem possesses a set (cloud) of equally probable solutions instead of a unique solution.
S. Repin, T. Samrowski
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Earthquake Engineering &Structural Dynamics, Volume 55, Issue 10, Page 2466-2485, August 2026.ABSTRACT Multi‐supported non‐structural components (NSCs) are prone to seismic damage, yet their response prediction remains challenging when support motions are spatially incoherent. This study proposes an enhanced quasi‐static condensation (EQSC) method for linear, lightweight, dynamically detuned multi‐supported NSCs under the neglect of primary ...
Duozhi Wang +5 more
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The Natural Components of a Regular Linear System
Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 603-622, August 2026.ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
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Surface and Boundary Corrections in Peridynamics Using Optimized Nodal Influence Weights
International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACT Peridynamics (PD), similarly to some other nonlocal continuum theories, exhibits truncated interaction horizons near free surfaces, cracks, and voids in bounded domains. This loss of neighbors causes artificial surface effects and inconsistencies in the derivative and energy operators that persist under discretization refinement, limiting PD ...
Arman Shojaei +5 more
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A Hybrid‐High Order Method for Fracture Modelling
International Journal for Numerical Methods in Engineering, Volume 127, Issue 13, 15 July 2026.ABSTRACT In this work we introduce a new Hybrid High‐Order method for the numerical simulation of fracture propagation based on phase‐field models. The proposed method: supports general meshes made of polygonal/polyhedral elements, which provides great flexibility in mesh design and adaptation; can accommodate large variations of both the displacement ...
Alessandra Crippa +4 more
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Fourier Expansion‐Based Approach to the Parameter Space of Classical Systems
Annalen der Physik, Volume 538, Issue 7, July 2026.ABSTRACT We propose a new approach to compute the classical metric tensor (CMT) and the Hannay curvature using Fourier series expansions in action‐angle variables. This approach circumvents the need for complex time‐domain integrals or the construction of generating functions, replacing them with algebraic combinations of Fourier coefficients. We prove
Marcos J. Hernández +3 more
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Long‐Range Interactions in Topological Superconducting Systems: A Mini Review
Advanced Physics Research, Volume 5, Issue 7, July 2026.Long‐range interacting quantum systems are surveyed in this review, with an emphasis on the long‐range topological superconductor and its variants. Long‐range interactions decaying in a power‐law manner can lead to exotic phenomena that finds no analogue in short‐range regimes.
Juntong Ren, Haifeng Lü
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Null projections and noncommutative function theory in operator algebras
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We study projections in the bidual of a C∗$\mathrm{C}^*$‐algebra B$B$ that are null with respect to a subalgebra A$A$, that is, projections p∈B∗∗$p\in B^{**}$ satisfying |φ|(p)=0$|\varphi |(p)=0$ for every φ∈B∗$\varphi \in B^*$ annihilating A$A$. In the separable case, A$A$‐null projections are precisely the peak projections in the bidual of A$
David P. Blecher, Raphaël Clouâtre
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