Results 61 to 70 of about 2,222 (257)
Lie algebras associated with PDEs and Bäcklund transformations [PDF]
, 2010 We introduce a new geometric invariant of PDEs: with any analytic system of PDEs we associate naturally a certain system of Lie algebras. These Lie algebras are responsible for Backlund transformations (a tool to construct exact solutions for nonlinear ...
Igonin, S.A.
core
Multisymplectic geometry, variational integrators, and nonlinear PDEs [PDF]
, 1998 : This paper presents a geometric-variational approach to continuous and discrete mechanics and field theories. Using multisymplectic geometry, we show that the existence of the fundamental geometric structures as well as their preservation along ...
Jerrold E. Marsden +5 more
core +1 more source
Advanced NanoBiomed Research, EarlyView.Beyond the green solvent paradigm, this review redefines Deep Eutectic Systems (DES) as programmable supramolecular nanoassemblies. We survey their biomedical convergence: stabilizing thermolabile mRNA to enable cold chain‐free logistics, reshaping transdermal microneedle delivery, enabling long‐term wearables via eutectogels, and utilizing Generative ...
Jeesu Moon, Min Seo Kim, Jae‐Seung Lee
wiley +1 more source
The Method of Fundamental Solutions For Optical Fluorescence Tomography [PDF]
In this paper, the method of fundamental solutions (MFS) is first developed for solving direct problems in bi-layer materials in the biomedical field of optical fluorescence.
Karageorghis, A., Lesnic, D.
core +1 more source
Besov regularity of elliptic and parabolic PDEs with inhomogeneous boundary conditions on Lipschitz domains [PDF]
, 2022 This dissertation connects different topics and shows new results in the research field of applied analysis. We investigate the regularity of solutions of partial differential equations (=PDEs) of elliptic and parabolic type on non-smooth domains ...
Szemenyei, Flóra Orsolya
core +1 more source
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT This article investigates the Soret–Dufour cross‐diffusion effects on radiation‐absorptive unsteady free‐convection of magnetized nanofluids (TiO2–water$$ {\mathrm{TiO}}_2\hbox{--} \mathrm{water} $$ and Cu–water$$ \mathrm{Cu}\hbox{--} \mathrm{water} $$) flow over a vertical moving permeable plate.
B. Prabhakar Reddy +2 more
wiley +1 more source
ModellingModelling plays a critical role in many engineering applications. Partial differential equations (PDEs) are ubiquitous, describing various physical phenomena such as fluid flow, electromagnetism, and quantum mechanics.
Mina Golzar +4 more
doaj +1 more source
S. N. Kruzhkov’s lectures on first-order quasilinear PDEs [PDF]
, 2009 traduit du russe par B. AndreianovInternational audienceThe present contribution originates from short notes intended to accompany the lectures of Professor Stanislav Nikola\u{\i}evich Kruzhkov given for the students of the Moscow State Lomonosov ...
Andrey Yu. Goritsky +3 more
core +1 more source
Radiative Hybrid Nanofluid Flow Over a Porous Riga Surface: A Fuzzy–ANN Modeling Approach
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT This study proposes a fuzzy–ANN model to investigate the nonlinear thermal transport in a tangent hyperbolic (Tanh) hybrid nanofluid flow past a porous Riga surface, considering the effects of Rosseland diffusion, chemical reactions, and internal volumetric heating.
Azad Hussain, Rabia Zetoon, Reeha Iqbal
wiley +1 more source
Journal of MathematicsThis paper aims to tackle the challenge of deriving accurate analytical solutions for three classes of fractional-order partial differential equations (PDEs)—the Sharma–Tasso–Olver (STO), cubic nonlinear Schrödinger (Sch), and Fokker–Planck (FP ...
Hegagi Mohamed Ali +4 more
doaj +1 more source