Results 121 to 130 of about 3,628,509 (295)

Critical exponent for the asymptotic behavior of rescaled solutions to the porous medium equation

Electronic Journal of Differential Equations, 2017
In this article, we find that $\mu_c\equiv 2N/(N(m-1)+2)$ is the critical exponent for the asymptotic behavior of rescaled solutions $t^{\mu/2}u(t^\beta x,t)$ for the porous medium equation.
Liangwei Wang, Jingxue Yin
doaj  

SEQUENTIAL ABSORPTION OF MICRODROPS BY DOUBLE-LAYER POROUS MEDIA [PDF]

Journal of Engineering Science and Technology, 2008
The subject of this paper is the absorption of microdrops by multilayer porous media. The consideration is based on numerical simulation of sequential absorption of two droplets at its arbitrary location on the surface of single- and double-layer porous ...
YU. D. VARLAMOV, YU. P. MESHCHERYAKOV, M. R. PREDTECHENSKY   +2 more
doaj  

Materials‐Driven Additive Manufacturing for Electrical Machines: Qualification‐Oriented Design Beyond Geometric Freedom

Advanced Engineering Materials, EarlyView.
This perspective reframes additive manufacturing for electrical machines as a qualification‐limited materials and architecture design problem. It links process–structure–property–performance relationships to magnetic, conducting, dielectric, and thermal property windows, highlighting where AM can enable segmented magnetic circuits, permanent magnet ...
Dénes Fodor, Loránd Szabó
wiley   +1 more source

Interface condition for the Poisson equation in a partially porous medium

Electronic Journal of Differential Equations
In this article, we derive a new effective interface condition between two parts of a partially porous medium. We study the steady-state Poisson equation in a two-dimensional domain that combines an upper porous part with a periodic microstructure and a ...
Tomislav Fratrovic, Eduard Marusic-Paloka   +1 more
doaj   +3 more sources

3D‐Printed Titanium Gyroid Scaffold Structure Integrated With Tough Hybrid Materials for Cartilage Replacement

Advanced Engineering Materials, EarlyView.
This study proposes a potential device design for joint cartilage replacement. Silica‐polytetrahydrofuran (SiO2‐PolyTHF) hybrids with customizable mechanical properties were developed to mimic the characteristics of a natural meniscus. These were synthesized through a two‐pot sol–gel hybrid process.
Yu‐Chien Lin, Gloria R. Young, Francesca Tallia, Reece N. Oosterbeek, Shaaz Ghouse, Edward Spiers, Nupur Kohli, Tom Briggs, Marc Masen, Siwei Li, Ren‐Jei Chung, Jonathan R. T. Jeffers, Julian R. Jones   +12 more
wiley   +1 more source

Analysis of Seepage field for composite porous medium embedded with impervious sphere

工程科学与技术, 2017
:Composite porous media embedded with impermeable spheres are widely used in the field of groundwater seepage, water flows through impermeable spheres in porous media due to the influence of impermeable spheres, and the closer the sphere is, the more ...
XUEChen, WEI Yu-feng, FU Wen-xi
doaj  

The Role of Ultra‐Thin Passive Films and Organic Adsorbates on Aluminum Chips for a Friction‐Induced Solid‐State Recycling Process

Advanced Engineering Materials, EarlyView.
Despite benefits to storage stability and handleability of aluminum scrap, octadecyl phosphonic acid (ODPA) SAMs reduce the tensile strength of wires produced using friction‐induced recycling. Etching and methyl diphosphonic acid (MDPA) coatings, however, have little effect.
Timothy D. Goller, Steffen Gabsa, Werner Homberg, Guido Grundmeier   +3 more
wiley   +1 more source

Description of regional blow-up in a porous-medium equation

Electronic Journal of Differential Equations, 2002
We describe the (finite-time) blow-up phenomenon for a non-negative solution of a porous medium equation of the form $$ u_t = Delta u^m + u^m $$ in the entire space. Here $m>1$ and the initial condition is assumed compactly supported. Blow-up takes place
Carmen Cortazar, Manuel Del Pino, Manuel Elgueta   +2 more
doaj  

Investigation of Doubly Nonlinear Parabolic Equation

Proceedings of the International Conference on Applied Innovations in IT
We study the properties of solutions for a porous medium equation (PME) in non-divergent form with a source term. The PME is a fundamental model in various physical and biological processes, including fluid flow through porous media, heat transfer, and ...
Makhmud Bobokandov, Nodir Uralov, Shokhsanam Shukurova, Zilola Sultonova   +3 more
doaj   +1 more source

Non-preservation of α-concavity for the porous medium equation

Advances in Mathematics
We show that the porous medium equation does not in general preserve $α$-concavity of the pressure for $0\leα<1/2$ or $1/2<α\le 1$. In particular, this resolves an open problem of Vázquez on whether concavity of pressure is preserved by the porous medium equation. Our results strengthen an earlier work of Ishige-Salani, who considered the case of
Chau, Albert, Weinkove, Ben
openaire   +3 more sources