Results 61 to 70 of about 419,875 (391)
, 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
core +1 more source
Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations [PDF]
, 2013 We prove locally in time the existence of a smooth solution for multidimensional two-phase Stefan problem for degenerate parabolic equations of the porous medium type. We establish also natural H\"{o}lder class for the boundary conditions in the Cauchy-Dirichlet problem for a degenerate parabolic equation.
arxiv +1 more source
On some degenerate non-local parabolic equation associated with the fractional $p$-Laplacian [PDF]
, 2015 We consider a degenerate parabolic equation associated with the fractional $% p $-Laplace operator $\left( -\Delta \right) _{p}^{s}$\ ($p\geq 2$, $s\in \left( 0,1\right) $) and a monotone perturbation growing like $\left\vert s\right\vert ^{q-2}s,$ $q>p$
C. Gal, M. Warma
semanticscholar +1 more source
Ontologies for FAIR Data in Additive Manufacturing: A Use Case‐Based Evaluation
Advanced Engineering Materials, EarlyView.An ontology‐based approach for generating findable, accessible, interoperable, reusable data in additive manufacturing is explored, focusing on powder bed fusion. The article highlights the benefits of enhanced data findability and digital twin enablement, while addressing challenges like data integration complexity and the need for specialized ...
Thomas Bjarsch +2 more
wiley +1 more source
Glasgow Mathematical Journal, 2013 Considered here is the pullback attractor of the process associated with the first initial boundary value problem for the non-autonomous semilinear degenerate parabolic equation \begin{linenomath} u_t-\text{div}(\sigma(x)\nabla u)+f(u)=g(x,t) \end ...
C. T. Anh, T. Bao, L. T. Thuy
semanticscholar +1 more source
Periodic solutions for a degenerate parabolic equation
Applied Mathematics Letters, 2009 AbstractIn this work, we establish the existence of nontrivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms. The key is the using of Moser’s iteration technique and the theory of the Leray–Schauder degree.
Jiebao Sun +3 more
openaire +2 more sources
Advanced Engineering Materials, EarlyView.Combining supercritical CO2 (s‐CO2) cycles with particle‐based heat transfer media holds great potential in concentrated solar power plants but poses enormous material challenges. The particle/s‐CO2 heat exchanger must withstand extreme conditions, including high temperatures, pressures, CO2 corrosion, and erosion.
Mathias Christian Galetz +5 more
wiley +1 more source
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
doaj +1 more source
Coefficient inverse problem for the strongly degenerate parabolic equation
Karpatsʹkì Matematičnì Publìkacìï, 2023 The coefficient inverse problem for the degenerate parabolic equation is investigated. The minor coefficient of this equation is the polynomial of the first power with respect to the space variable with two unknown time-dependent functions.
N.M. Huzyk, P.Y. Pukach, M.I. Vovk
doaj +1 more source
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
doaj +1 more source