Results 31 to 40 of about 141 (99)
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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Physics Constraint‐Guided Neural Network for Solving Partial Differential Equations
Engineering Reports, Volume 8, Issue 8, August 2026.A Physics Constraint‐Guided Network (PCGN) is proposed to solve partial differential equations by integrating physical encoding, adaptive residual balancing, and constraint projection. The framework enables stable constraint propagation, improves physical consistency, and achieves higher accuracy and robustness compared with existing neural network ...
Zhihui Hou, Yaxu Peng
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Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid
International Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 969-979, August 2026.This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
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The Therapeutic Potential of H2S‐Releasing Platforms in Cardiovascular Applications
Journal of Biomedical Materials Research Part B: Applied Biomaterials, Volume 114, Issue 8, August 2026.The Therapeutic Potential of H2S‐Releasing Platforms. ABSTRACT Once known as a toxic gas, hydrogen sulfide (H2S) is now making its way into many therapeutic applications. Similar to its other fellow endogenous gasotransmitters, nitric oxide and carbon monoxide, H2S is a small gas with a short half‐life, making it extremely capable of penetrating ...
Tia N. Shorter, Elizabeth J. Brisbois
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Small Structures, Volume 7, Issue 8, August 2026.Anodic aluminum oxide (AAO) templates combined with atomic layer deposition (ALD) constitute a synergistic platform for engineering functional nanostructures within highly ordered, high‐aspect‐ratio porous architectures. By linking precursor transport modeling, surface chemistry control, and tailored ALD strategies, this review establishes a unified ...
Hyeon Joon Choi +7 more
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Small Structures, Volume 7, Issue 8, August 2026.This review discusses the integration of advanced characterization, computational modeling, and multifunctional atmospheric water harvesting (AWH) systems for sustainable water‐energy‐carbon solutions. These methods reveal structure‐property relationships, guiding next‐generation hygroscopic material design.
Miao Tang, Huan Liu, Mitch Guijun Li
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Clinical and Translational Science, Volume 19, Issue 8, August 2026.ABSTRACT Pulmonary hypertension (PH) is a complex disorder associated with significant morbidity and mortality. PH is characterized by an elevated pulmonary vascular load, leading to right ventricular dysfunction and remodeling, with right heart failure and premature death if left untreated.
Surya Ayalasomayajula +8 more
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Kazdan–Warner obstructions for a fourth‐order boundary problem
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We derive Kazdan–Warner type identities for the boundary problem of prescribing nonconstant interior Q$Q$ curvature and boundary T$T$ curvature on the upper hemisphere S+4${\mathbb {S}}^{4}_{+}$ by a conformal change of the standard metric.
Sergio Cruz‐Blázquez +1 more
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Nonlinear SPDEs and Maximal Regularity: An Extended Survey. [PDF]
Nonlinear Differ Equ ApplAgresti A, Veraar M.
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Thermo-elastodynamics of nonlinearly viscous solids. [PDF]
Calc Var Partial Differ EquAlmi S +3 more
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