Results 51 to 60 of about 43,973 (335)
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2010 The classification of the weak solutions to Dirichlet initial boundary value problemassociated with a linear degenerate parabolic equation has been studied. Some applications to associated optimal control problems in coeffcients are discussed.
I. G. Balanenko, P. I. Kogut
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Impulsive Quenching for Degenerate Parabolic Equations
Journal of Mathematical Analysis and Applications, 1996 An impulsive problem for a singular degenerate parabolic equation is studied. Sufficient conditions for the existence of a unique critical length are given. The critical length \(a^*\) is the length of the space interval such that the solution with zero initial and boundary data quenches for intervals larger than \(a^*\) but it exists globally for ...
C.Y. Chan, P.C. Kong
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From Nature to Engineering: Mortar Volume and Interfacial Mechanics in Bioinspired Ceramics
Advanced Engineering Materials, EarlyView.Inspired by natural armors like nacre, this study explores how varying the volume fraction of the soft mortar layer impacts the interfacial strength and toughness of bioinspired ceramics. Experimental and computational analysis reveals that higher mortar volumes increase energy dissipation but reduce interfacial stiffness, offering insights for ...
Ehsan Azad +4 more
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Mixed problems for degenerate abstract parabolic equations and applications [PDF]
, 2017 Degenerate abstract parabolic equations with variable coefficients are studied. Here the boundary conditions are nonlocal. The maximal regularity properties of solutions for elliptic and parabolic problems and Strichartz type estimates in mixed $L_{p ...
Sahmurova, Aida, Shakhmurov, Veli
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Advanced Engineering Materials, EarlyView.The role of various alloying elements in face‐centered cubic aluminum on the barrier of a Shockley partial dislocation during its motion is presented. The study aims to understand how alloying atoms such as Mg, Si, and Zr affect the energy landscape for dislocation motion, thus influencing the solid solution hardening and softening in aluminum, which ...
Inna Plyushchay +3 more
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Strong solutions of the thin film equation in spherical geometry
, 2017 We study existence and long-time behaviour of strong solutions for the thin film equation using a priori estimates in a weighted Sobolev space. This equation can be classified as a doubly degenerate fourth-order parabolic and it models coating flow on ...
A Burchard +11 more
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High‐Temperature Oxidation of the CrFeNi Medium‐Entropy Alloy
Advanced Engineering Materials, EarlyView.The oxidation behavior of equiatomic CrFeNi MEA is a key issue that determines this material's suitability for high‐temperature application. The understanding of long‐term behavior is even more crucial than short‐term corrosion effects. The alloy is exposed to synthetic air at 1000, 1050, and 1100 °C for 24, 100, and 1000 h and systematically compared ...
Anna Maria Manzoni +5 more
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An inverse backward problem for degenerate two-dimensional parabolic equation [PDF]
Opuscula Mathematica, 2020 This paper deals with the determination of an initial condition in the degenerate two-dimensional parabolic equation \[\partial_{t}u-\mathrm{div}\left(a(x,y)I_2\nabla u\right)=f,\quad (x,y)\in\Omega,\; t\in(0,T),\] where \(\Omega\) is an open, bounded ...
Khalid Atifi +2 more
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Advanced Engineering Materials, EarlyView.Rotary friction welding of steel E355 and the aluminum alloy EN AW‐6082 can lead to the formation of brittle intermetallic phases. The primary process parameters are varied in order to determine their influence on this intermetallic phase formation and the resulting mechanical properties.
Laura Huber +4 more
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On the Tonelli method for the degenerate parabolic Cauchy problem with functional argument [PDF]
Opuscula Mathematica, 2014 The degenerate parabolic Cauchy problem is considered. A functional argument in the equation is of the Hale type. As a limit of piecewise classical solutions we obtain a viscosity solution of the main problem. Presented method is an adaptation of Tonelli'
Krzysztof A. Topolski
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