Results 61 to 70 of about 92,426 (217)

Enhancing human gut health: Global innovations in dysbiosis management

iMeta, EarlyView.
The microbiota, comprising all the microorganisms within the body, plays a critical role in maintaining good health. Dysbiosis represents a condition resulting from an imbalance or alteration of the microbiota. This study comprehensively investigates the patent literature on dysbiosis over the past 20 years.
Reda El Boukhari, Maima Matin, Latifa Bouissane, Michał Ławiński, Oleh Lushchak, Rajeev K. Singla, Michel‐Edwar Mickael, Jordi Mayneris‐Perxachs, Maria Eleni Grafakou, Shuhua Xu, Bowen Liu, Jiayi Guan, Andrzej Półtorak, Arkadiusz Szpicer, Agnieszka Wierzbicka, Nikolay T. Tzvetkov, Maciej Banach, Jarosław Olav Horbańczuk, Artur Jóźwik, Marco Cascella, Bairong Shen, Vasil Radoslavov Pirgozliev, Dongdong Wang, Olena Litvinova, Olga Adamska, Agnieszka Kamińska, Marcin Łapiński, Artur Stolarczyk, Ioana Berindan‐Neagoe, Luigi Milella, Andy Wai Kan Yeung, Prashanth Suravajhala, Anupam Bishayee, Ronan Lordan, Laszlo Barna Iantovics, Ricardo Lagoa, Monika Michalczuk, Jivko Stoyanov, A. Douglas Kinghorn, Banaz Jalil, Wolfram Weckwerth, Bey Hing Goh, Meng‐Yao Li, Gyaneshwer Chaubey, Gian Luigi Russo, Sara Frazzini, Luciana Rossi, Maurizio Battino, Wei Jia, Qi Su, Xiaoqiang Ma, Judith M. Rollinger, Simon K.‐M. R. Rittmann, Helen Sheridan, John J. Walsh, Gérard Lizard, Tomasz M. Karpiński, Ana Sanches Silva, Jakub Piwowarski, Liwei Xie, Tai‐Ping Fan, Francesca Giampieri, Adil El Midaoui, Ka‐Hing Wong, Ren‐You Gan, Ahmed Fatimi, Atanas G. Atanasov   +66 more
wiley   +1 more source

Regularity and separation for Grušin‐type p‐Laplace operators

Mathematische Nachrichten, EarlyView.
Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
wiley   +1 more source

Manifolds of classical probability distributions and quantum density operators in infinite dimensions

, 2019
The manifold structure of subsets of classical probability distributions and quantum density operators in infinite dimensions is investigated in the context of $C^{*}$-algebras and actions of Banach-Lie groups.
Ciaglia, Florio M., Ibort, Alberto, Jost, Jürgen, Marmo, Giuseppe   +3 more
core   +1 more source

Well‐Posedness, Long‐Time Behavior, and Discretization of Some Models of Nonlinear Acoustics in Velocity–Enthalpy Formulation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study a class of models for nonlinear acoustics, including the well‐known Westervelt and Kuznetsov equations, as well as a model of Rasmussen that can be seen as a thermodynamically consistent modification of the latter. Using linearization, energy estimates, and fixed‐point arguments, we establish the existence and uniqueness of solutions ...
Herbert Egger, Marvin Fritz
wiley   +1 more source

Lusternik-Schnirelman theory on Banach manifolds [PDF]

Topology, 1966
SEVERAL years ago the author, and independently Smale, generalized the Morse theory of critical points to cover certain functions on hilbert manifolds [5,6 and 91. Shortly thereafter J. Schwartz showed how the same techniques allowed one also to extend the LusternikSchnirelman theory of critical points to functions on hilbert manifolds [7].
openaire   +1 more source

Blowing‐Up Solution of a System of Fractional Differential Equations With Variable Order

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigated the necessary condition for blowing‐up solutions in finite time of the system u′(t)+(1)D0|tα(t)(u(t)−u0)=|v(t)|q,t>0,q>1,v′(t)+(1)D0|tβ(t)(v(t)−v0)=|u(t)|p,t>0,p>1$$ {u}^{\prime }(t)+{}_{(1)}{D}_{0\mid t}^{\alpha (t)}\left(u(t)-{u}_0\right)={\left|v(t)\right|}^q,\kern0.3em t>0,q>1,{v}^{\prime }(t)+{}_{(1)}{D}_{0\mid t}^{\beta ...
Muhammad Rizki Fadillah, Mokhtar Kirane
wiley   +1 more source

Persistence of invariant manifolds for perturbations of semiflows with symmetry

Electronic Journal of Differential Equations, 1999
Consider a semiflow in a Banach space, which is invariant under the action of a compact Lie group. Any equilibrium generates a manifold of equilibria under the action of the group.
Chongchun Zeng
doaj  

The Banach manifold structure of the space of metrics on noncompact manifolds

Differential Geometry and its Applications, 1991
AbstractWe study the Ck-structure of the space of Riemannian metrics of bouded geometry on open manifolds, the group of bounded diffeomorphisms, its action and the factor space. Each component of the space of metrics has a natural Banach manifold structure and the group of bounded diffeomorphisms is a completely metrizable topological group.
openaire   +2 more sources

Sub-Riemannian Geometry and Geodesics in Banach Manifolds [PDF]

The Journal of Geometric Analysis, 2019
In this paper, we define and study sub-Riemannian structures on Banach manifolds. We obtain extensions of the Chow-Rashevski theorem for exact controllability, and give conditions for the existence of a Hamiltonian geodesic flow despite the lack of a Pontryagin Maximum Principle in the infinite dimensional setting.
openaire   +5 more sources

Rough PDEs for Local Stochastic Volatility Models

Mathematical Finance, EarlyView.
ABSTRACT In this work, we introduce a novel pricing methodology in general, possibly non‐Markovian local stochastic volatility (LSV) models. We observe that by conditioning the LSV dynamics on the Brownian motion that drives the volatility, one obtains a time‐inhomogeneous Markov process. Using tools from rough path theory, we describe how to precisely
Peter Bank, Christian Bayer, Peter K. Friz, Luca Pelizzari   +3 more
wiley   +1 more source