Results 41 to 50 of about 44,690 (331)
Null controllability of one-dimensional parabolic equations by the flatness approach [PDF]
, 2015 We consider linear one-dimensional parabolic equations with space dependent coefficients that are only measurable and that may be degenerate or singular.Considering generalized Robin-Neumann boundary conditions at both extremities, we prove the null ...
Martin, Philippe +2 more
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Dissipation enhancement for a degenerated parabolic equation
Communications in Mathematical Sciences, 2023 22 ...
Feng, Yu, Hu, Bingyang, Xu, Xiaoqian
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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
doaj +1 more source
A strongly degenerate parabolic aggregation equation [PDF]
Communications in Mathematical Sciences, 2011 This paper is concerned with a strongly degenerate convection-diffusion equation in one space dimension whose convective flux involves a non-linear function of the total mass to one side of the given position. This equation can be understood as a model of aggregation of the individuals of a population with the solution representing their local density.
Betancourt, F. +2 more
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, 2017 Domain decomposition based time integrators allow the usage of parallel and distributed hardware, making them well-suited for the temporal discretization of parabolic systems, in general, and degenerate parabolic problems, in particular.
Eisenmann, Monika, Hansen, Eskil
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Discontinuous “viscosity” solutions of a degenerate parabolic equation [PDF]
Transactions of the American Mathematical Society, 1990 We study a nonlinear degenerate parabolic equation of the second order. Regularizing the equation by adding some artificial viscosity, we construct a generalized solution. We show that this solution is not necessarily continuous at all points.
BERTSCH, MICHIEL, Dal Passo R, Ughi, M.
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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
wiley +1 more source
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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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
wiley +1 more source
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
wiley +1 more source