Results 111 to 120 of about 125,128 (279)

Two definitions of the generalized Cauchy problem for semi-linear diffusion equation with fractional derivative with respect to time

Karpatsʹkì Matematičnì Publìkacìï, 2013
Different equivalent definitions of the Cauchy problem for semi-linear diffusion equation with fractional derivative with respect to time and with the generalized function in the initial condition are offered. The existence and uniqueness theorem and the
A. O. Lopushansky, H. P. Lopushanska, O. V. Pasichnyk   +2 more
doaj   +1 more source

Oxide‐Free Titanium Coatings by Wire Arc Spraying in a Silane‐Doped Inert Atmosphere

Advanced Engineering Materials, EarlyView.
A silane‐doped argon atmosphere enables the production of oxide‐free titanium coatings via twin‐wire arc spraying at ambient pressure. This innovative approach eliminates residual oxygen, creating process conditions that prevent oxidation and nitride formation.
Manuel Rodriguez Diaz, Maik Szafarska, René Gustus, Kai Möhwald, Hans Jürgen Maier   +4 more
wiley   +1 more source

From Newton's Equation to Fractional Diffusion and Wave Equations [PDF]

Advances in Difference Equations, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Thermodynamic Pathways of Nonequilibrium Solidification in Wire‐Arc Additive Manufacturing Fe‐Based Multicomponent Alloy Structures

Advanced Engineering Materials, EarlyView.
Geometry‐driven thermal behavior in wire‐arc additive manufacturing (WAAM) influences microstructural evolution during nonequilibrium solidification of a chemically complex Fe–Cr–Nb–W–Mo–C nanocomposite system. By comparing different deposits configurations, distinct entropy–cooling rate correlations, segregation, and carbide evolution are revealed ...
Blanca Palacios, Anthony Gonzalez, Aleksander Aleman, Tyler Dolmetsch, Tanaji Paul, Arvind Agarwal   +5 more
wiley   +1 more source

Phenomenological and Physically Based Modeling of Flow Stress and Strengthening Mechanism of Inconel 718

Advanced Engineering Materials, EarlyView.
Nickel‐based alloys are widely used in high‐temperature applications due to their excellent mechanical strength and oxidation resistance. However, properties such as high‐temperature strength and pronounced work‐hardening make them difficult to machine.
Soheil Rooein, Oliver Schenk, Christoph Broeckmann   +2 more
wiley   +1 more source

Inhomogeneous Fractional Diffusion Equations

, 2005
2000 Mathematics Subject Classification: Primary 26A33; Secondary 35S10, 86A05 Fractional diffusion equations are abstract partial differential equations that involve fractional derivatives in space and time. They are useful to model anomalous diffusion, where a plume of particles spreads in a different manner than the classical diffusion equation ...
Baeumer, Boris, Kurita, Satoko, Meerschaert, Mark   +2 more
openaire   +1 more source

Optimal estimates for fractional fast diffusion equations

Journal de Mathématiques Pures et Appliquées, 2015
We obtain a priori estimates with best constants for the solutions of the fractional fast diffusion equation $u_t+(- )^{ /2}u^m=0$, posed in the whole space with ...
Vázquez J. L, VOLZONE, Bruno
openaire   +3 more sources

Investigation of Thermo‐Chemical Processes in Commercial MgO‐C Refractory Bricks With and Without MgO‐C Recyclate at Elevated Temperatures

Advanced Engineering Materials, EarlyView.
This study investigates thermo‐chemical processes during high‐temperature testing of two commercial MgO‐C brick grades, one containing 47.5 wt.% MgO‐C recyclate. Using ETV, DTA/TG‐MS, XRD, and SEM/EDS/EBSD, mechanisms such as carbothermal reduction of magnesia, impurity incorporation into the secondary MgO surface layer, and calcium‐rich phase ...
Alexander Schramm, Jana Hubálková, Christian Schimpf, Thomas Schemmel, Christos G. Aneziris, Anja Weidner, Horst Biermann   +6 more
wiley   +1 more source

Combined Process‐ and Phase‐Field‐Simulation to Predict the Microstructure of Single‐Crystal Ni‐Based Superalloys

Advanced Engineering Materials, EarlyView.
A combined finite element and phase‐field approach predicts the evolution of microstructure during the directional solidification of Ni‐based superalloys. The model reveals how withdrawal rate, temperature gradient, and wall thickness control the dendrite spacing, highlighting the strong effect of surface regions in thin sections where dendrite growth ...
Sean Böhm, André B. Baldissera, Rainer Völkl, Uwe Glatzel   +3 more
wiley   +1 more source

Regularized long wave equations and diffusion equation using Tantawy least square method

Boundary Value Problems
This paper presents a new semi-analytical method, the Tantawy Least Squares Method (TLSM), to solve fractional-order regularised long wave (RLW) equation, diffusion equations, and Rosenau-Hyman (RH) equation.
Waleed Hamali, Musaad S. Aldhabani, Musawa Yahya Almusawa, Abdullah Ali H. Ahmadini, Samaruddin Jebran   +4 more
doaj   +1 more source