Results 71 to 80 of about 34,900 (279)

The existence and singularity structure of low regularity solutions of higher-order degenerate hyperbolic equations [PDF]

, 2013
This paper is a continuation of our previous work [21], where we have established that, for the second-order degenerate hyperbolic equation (\p_t^2-t^m\Delta_x)u=f(t,x,u), locally bounded, piecewise smooth solutions u(t,x) exist when the initial data (u,\
Ruan, Zhuoping, Witt, Ingo, Yin, Huicheng   +2 more
core  

Hyperbolic formulations and numerical relativity II: Asymptotically constrained systems of the Einstein equations

, 2000
We study asymptotically constrained systems for numerical integration of the Einstein equations, which are intended to be robust against perturbative errors for the free evolution of the initial data.
, Abrahams A, Abrahams A, Ashtekar A, Choquet-Bruhat Y, Choquet-Bruhat Y, Friedrich H, Friedrich H, Friedrich H, Friedrich H, Friedrich H, Gen Yoneda, Hern S D, Hisa-aki Shinkai, Nakamura T, Richtmyer R D, See also, Shinkai H, Stewart J M, van Putten M H P M   +19 more
core   +1 more source

Additive Gaussian Process Regression for Predictive Design of High‐Performance, Printable Silicones

Advanced Engineering Materials, EarlyView.
A chemistry‐aware design framework for tuning printable polydimethylsiloxane (PDMS) for vat photopolymerization (VPP) is developed using additive Gaussian process (GP) modeling. Polymer network mechanics informs variable groupings, feasible formulation constraints, and interaction variables.
Roxana Carbonell, Martha Leach, Hongtao Song, Carolyn Seepersad   +3 more
wiley   +1 more source

Three‐Dimensional Hierarchical Nanowire‐Networks with Deep‐Focus Tolerance and Adhesion Robustness for Harsh‐Environment SERS Sensing

Advanced Functional Materials, EarlyView.
A 3D nanowire‐network SERS substrate with robust adhesion is developed, featuring pronounced z‐direction optical activity, ultralow detection limit (1.5 × 10−13 M), and excellent signal uniformity (RSD < 10%). Enabled by enhanced light scattering, increased optical density of states, and structural reinforcement, the substrate demonstrates stable, high‐
Jinglai Duan, Wentao Wang, Xiu Liang, Yongliang Zhang, Jie Liu, Yu Bai, Dangyuan Lei   +6 more
wiley   +1 more source

Mixed problem for a third order parabolic-hyperbolic model equation

Қарағанды университетінің хабаршысы. Математика сериясы
In 1978, the journal Differential Equations published an article by A.M. Nakhushev, that presented a method for correctly formulating a boundary value problem for a class of second-order parabolic-hyperbolic equations in an arbitrarily bounded domain ...
Zh.A. Balkizov
doaj   +1 more source

Nonlocal degenerate parabolic-hyperbolic equations on bounded domains

Annales de l'Institut Henri Poincaré C, Analyse non linéaire
We study well-posedness of degenerate mixed-type parabolic-hyperbolic equations \partial_{t}u+\operatorname{div}(f(u))=\mathcal{L}[b(u)] on bounded domains with general Dirichlet boundary/exterior conditions. The nonlocal diffusion operator \mathcal{L}
Nathaël Alibaud, Jørgen Endal, Espen R. Jakobsen, Ola Mæhlen   +3 more
openaire   +2 more sources

Self‐Hybridized Exciton‐Polariton Photodetectors From Layered Metal‐Organic Chalcogenolates

Advanced Functional Materials, EarlyView.
Self‐hybridized exciton‐polariton photodetectors are demonstrated using high refractive index mithrene, eliminating the need for top mirrors. This simplified architecture enables tunable sub‐bandgap photodetection via lower exciton‐polariton states and enhanced carrier transport through ultrafast polariton group velocities.
Bongjun Choi, Adam D. Alfieri, Wangleong Chen, Deep Jariwala   +3 more
wiley   +1 more source

Global Existence, General Decay, and Blow Up of the Solution to the Coupled p-Biharmonic Equation of Hyperbolic Type with Degenerate Damping Terms

Mathematics
In this work, we study a nonlinear system of p-Biharmonic hyperbolic equations with degenerate damping and source terms in a bounded domain. Under appropriate assumptions on the initial data and the damping terms, we establish the global existence of ...
Nouri Boumaza, Billel Gheraibia, Hongwei Zhang, Zayd Hajjej   +3 more
doaj   +1 more source

Smooth Solutions to a Class of Mixed Type Monge-Ampere Equations

, 2012
We prove the existence of C^{\infty} local solutions to a class of mixed type Monge-Ampere equations in the plane. More precisely, the equation changes type to finite order across two smooth curves intersecting transversely at a point.
Han, Qing, Khuri, Marcus
core   +1 more source

Small Extracellular Vesicles from Neural Cells: Physiological and Pathological Roles, and Potential in Neurodegenerative Therapy

Advanced Healthcare Materials, EarlyView.
Neural cell–derived small extracellular vesicles (sEVs) are emerging as pivotal mediators in neurodegenerative diseases, exerting both pathogenic and therapeutic functions. This review synthesizes current evidence on how sEVs from distinct neural cell types regulate neurodegeneration, neuroprotection, biomarker discovery, and targeted drug delivery ...
Muhammad Waqas Salim, Wei Zhang, Lyndsey Collins‐Praino, Yuling Wang, Andrew Care   +4 more
wiley   +1 more source