Results 51 to 60 of about 43,948 (194)

Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs [PDF]

, 2017
Partial differential equations (PDEs) with random input data, such as random loadings and coefficients, are reformulated as parametric, deterministic PDEs on parameter spaces of high, possibly infinite dimension. Tensorized operator equations for spatial
Gittelson, Claude Jeffrey, Schwab, Christoph   +1 more
core  

Antibody‐Empowered Nanomedicine for Precise Biomedical Applications

Advanced Science, EarlyView.
This review explores strategies for functionalizing nanoparticles with antibodies to construct antibody‐empowered nanomedicine. It discusses the classification of these nanomedicines based on antibody structure, with a specific focus on their biomedical applications in diagnostics, bioimaging, and therapeutics for various diseases.
Chen Chen, Xinglin Chen, Zhenhao Gao, Meng Sun, Yaozong Yu, Fang Lv, Qiujun Wang, Jinfeng Zhang   +7 more
wiley   +1 more source

Dissipative Heat Impact on the Non‐Newtonian Walter's B Nanoliquid Over an Elongating Surface Through a Permeable Medium

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT The utilisation of viscoelastic Walter's B nanoliquid in engineering and biomedical applications gained substantial attention because of its ability to provide real‐time fluid behaviour, particularly in the heat flow mechanism. In particular, the flow of viscoelastic fluid over an elongating surface is useful in polymer processing and ...
Laxmipriya Swain, Subhajit Panda, S. R. Mishra, Rupa Baithalu   +3 more
wiley   +1 more source

Analytic and Asymptotic Methods for Nonlinear Singularity Analysis: a Review and Extensions of Tests for the Painlev\'e Property

, 1997
The integrability (solvability via an associated single-valued linear problem) of a differential equation is closely related to the singularity structure of its solutions.
A. C. Newell, A. Fordy, A. Ramani, A. Ramani, B. Gambier, C. M. Cosgrove, C.M. Bender, C.S. Gardner, D.K. Ludlow, E.A. Coddington, E.L. Ince, F.J. Bureau, F.W.J. Olver, G. Halphen, H. Yoshida, J. Chazy, J. Chazy, J. Weiss, J.B. McLeod, L. Hlavatý, L.J. Mason, M.D. Kruskal, M.D. Kruskal, M.D. Kruskal, M.D. Kruskal, M.J. Ablowitz, M.J. Ablowitz, M.J. Ablowitz, M.J. Ablowitz, M.J. Ablowitz, N. Joshi, N. Joshi, N. Joshi, N. Joshi, N. Joshi, N. Joshi, P. Boutroux, P. Painlevé, P. Painlevé, P. Painlevé, P. Painlevé, P.A. Clarkson, R. Conte, R. Fuchs, R. Grimshaw, S. Kichenassamy, S. Kichenassamy, S. Kowalevski, S. Kowalevski, S. Ziglin, S. Ziglin, T. Bountis, V.I. Arnold, Z. Nehari   +53 more
core   +1 more source

Bioconvective Chemically Reactive Radiative Squeezing Flow of a Casson Hybrid Nanofluid Between Two Parallel Plates Under Variable Viscosity

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT Hybrid nanofluids, known for their superior thermal and electrical conductivity, have demonstrated remarkable potential in enhancing the heat transfer capability of conventional base fluids. This study analyzes the effects of viscous dissipation and heat radiation on two‐dimensional unsteady incompressible squeezing flow transporting hybrid ...
Hajra Batool, Dur‐e‐Shehwar Sagheer, Muhammad Sabeel Khan, Hassan Shahzad   +3 more
wiley   +1 more source

Symbolic Software for the Painleve Test of Nonlinear Ordinary and Partial Differential Equations

, 2006
The automation of the traditional Painleve test in Mathematica is discussed. The package PainleveTest.m allows for the testing of polynomial systems of ordinary and partial differential equations which may be parameterized by arbitrary functions (or ...
Ablowitz M J, Clarkson P A, Conte R, Conte R, Fordy A P, Goriely A, Hereman W, Hirota R, Ince E L, Jimbo M, Johnson R S, Kruskal M D, Lamb G L, McLeod J B, Newell A C, Osgood W F, Painlevé P, Pickering A, Ramani A, Rand D W, Renner F, Scheen C, Tan Y, Ward R S, Weiss J, Weiss J, Xu G Q, Xu G Q, Xu G Q, Yoshida H, Ziglin S L, Ziglin S L, Ziglin S L   +32 more
core   +1 more source

Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley   +1 more source

Local Fuzzy Fractional Partial Differential Equations in the Realm of Fractal Calculus with Local Fractional Derivatives

Fractal and Fractional, 2023
In this study, local fuzzy fractional partial differential equations (LFFPDEs) are considered using a hybrid local fuzzy fractional approach. Fractal model behavior can be represented using fuzzy partial differential equations (PDEs) with local ...
Mawia Osman, Muhammad Marwan, Syed Omar Shah, Lamia Loudahi, Mahvish Samar, Ebrima Bittaye, Altyeb Mohammed Mustafa   +6 more
doaj   +1 more source

Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs

, 2015
Research on stabilization of coupled hyperbolic PDEs has been dominated by the focus on pairs of counter-convecting ("heterodirectional") transport PDEs with distributed local coupling and with controls at one or both boundaries.
Di Meglio, Florent, Hu, Long, Krstic, Miroslav, Vazquez, Rafael   +3 more
core   +4 more sources

A priori bounds for the generalised parabolic Anderson model

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra, Guilherme de Lima Feltes, Hendrik Weber   +2 more
wiley   +1 more source