Results 81 to 90 of about 34,900 (279)

Formation of singularities for a linearly degenerate hyperbolic system arising in magnetohydrodynamics

Advances in Nonlinear Analysis
This article is concerned with the singularity formation of smooth solutions for a nonhomogeneous hyperbolic system arising in magnetohydrodynamics. The system owns four linearly degenerate characteristic fields that influence each other in the relations
Hu Yanbo, Zeng Ying
doaj   +1 more source

Global solvability of a mixed problem for a singular semilinear hyperbolic 1d system

Математичні Студії
Using the method of characteristics and the Banach fixed point theorem (for the Bielecki metric), in the paper it is established the existence and uniqueness of a global (continuous) solution of the mixed problem in the rectangle $\Pi=\{(x,t)\colon ...
V. M. Kyrylych, O. V. Peliushkevych
doaj   +1 more source

Mapping Nanoscale Protein‐Corona Kinetics of DoE‐Optimized Perfluorocarbon Encapsulated‐PLGA Nanoparticles by In Situ, Time‐Resolved Synchrotron SAXS

Advanced Healthcare Materials, EarlyView.
A two‐phase workflow (OFAT screening followed by central composite design) maps how processing variables tune PFCE‐PLGA nanoparticle size, dispersity, surface charge, loading, and 19F‐MRI signal. In situ, time‐resolved synchrotron SAXS tracks albumin‐corona growth on intact dispersions and reveals PFCE‐dependent adsorption pathways.
Joice Maria Joseph, Maria Rosa Gigliobianco, Cristina Minnelli, Paolo Moretti, Francesco Spinozzi, Giovanna Mobbili, Sara Pistolesi, Cristina Casadidio, Gabriella Teti, Roberta Censi, Stefano Antonio Gattone, Piera Di Martino   +11 more
wiley   +1 more source

The classical solvability for a one-dimensional nonlinear thermoelasticity system with the far field degeneracy

Advanced Nonlinear Studies
We study the local classical solvability of the Cauchy problem to the equations of one-dimensional nonlinear thermoelasticity. The governing model is a coupled system of a nonlinear hyperbolic equation for the displacement and a parabolic equation for ...
Hu Yanbo, Sugiyama Yuusuke
doaj   +1 more source

The Cauchy problem in General Relativity: An algebraic characterization

, 2015
In this paper we shall analyse the structure of the Cauchy Problem (CP briefly) for General Relativity (GR briefly) by applying the theory of first order symmetric hyperbolic ...
Fatibene, Lorenzo, Garruto, Simon
core   +1 more source

Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics

Advanced Materials, EarlyView.
The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades, Pedro Hidalgo, David Maestre, Ruth Martínez‐Casado, Emilio Nogales, Beatriz Rodríguez, G. Cristian Vásquez, Bianchi Méndez   +7 more
wiley   +1 more source

Directional Flow of Confined Polaritons in CrSBr

Advanced Materials, EarlyView.
CrSBr, a layered magnetic semiconductor, naturally channels self‐hybridized excitonpolaritons into highly directional flow. Its intrinsic optical anisotropy, high refractive index, and strong lightmatter coupling enable long‐range guided modes along the a‐axis, with propagation lengths set by their excitonphoton admixture.
Pratap Chandra Adak, Sichao Yu, Jaime Abad‐Arredondo, Biswajit Datta, Andy Cruz, Sorah Fischer, Kseniia Mosina, Zdeněk Sofer, Antonio I. Fernández‐Domínguez, Francisco J. Garcia‐Vidal, Vinod M. Menon   +10 more
wiley   +1 more source

Exact solution of spherical mean-field plus special orbit-dependent non-separable pairing model with multi non-degenerate j-orbits

Physics Letters B, 2019
Exact solution of spherical mean-field plus a special orbit-dependent non-separable pairing Hamiltonian with multi non-degenerate j-orbits, which is related to two previously known hyperbolic Gaudin models, is explored.
Feng Pan, Dan Zhou, Yingwen He, Siyu Yang, Yunfeng Zhang, J.P. Draayer   +5 more
doaj   +1 more source

Cauchy horizons in Gowdy space times

, 2003
We analyse exhaustively the structure of \emph{non-degenerate} Cauchy horizons in Gowdy space-times, and we establish existence of a large class of non-polarized Gowdy space-times with such horizons. Added in proof: Our results here, together with deep
, Berger B K, Berger B K, Chae M Chru?ciel P T, Christodoulou D, Chru?ciel P T, Chru?ciel P T, Chru?ciel P T, Chru?ciel P T, Gowdy R H, Grubisi? B, Isenberg J, Ishak M, Kayll Lake, Kichenassamy S, Moncrief V, Moncrief V, Moncrief V, Moncrief V, Piotr T Chru ciel, Rendall A, Rendall A D, Rendall A D, Ringström H, Ringström H, Ringström H   +25 more
core   +1 more source

On quasilinear hyperbolic equations with degenerate principal part

Tsukuba Journal of Mathematics, 1998
The goal of the present paper is to study the quasilinear weakly hyperbolic Cauchy problem \[ u_{tt}= \sum_{i,j} (a_{ij}(t,x)u_{x_i})_{x_j}+ f(t,x,u,\nabla_x u), \] \[ u(0,x)= u_0(x),\quad u_t(0,x)= u_1(x). \] Here weakly hyperbolic means \[ 0\leq \sum^n_{i,j= 1} a_{ij}(t,x)\xi_j \xi_j\leq \Lambda|\xi|^2.
D'ANCONA, Piero Antonio, M. DI FLAVIANO
openaire   +4 more sources