Results 91 to 100 of about 118,579 (376)
Singularity and Decay Estimates for a Degenerate Parabolic Equation
Complexity, 2021 In this paper, a degenerate parabolic equation ut−divxθ∇u=xaup with p>1 and ...
Dongyan Li
doaj +1 more source
, 2016 We study the behaviour of solutions to a class of nonlinear degenerate parabolic problems when the data are perturbed. The class includes the Richards equation, Stefan problem and the parabolic $p$-Laplace equation.
Droniou, Jérôme +2 more
core +2 more sources
Active Learning‐Guided Accelerated Discovery of Ultra‐Efficient High‐Entropy Thermoelectrics
Advanced Materials, EarlyView.An active learning framework is introduced for the accelerated discovery of high‐entropy chalcogenides with superior thermoelectric performance. Only 80 targeted syntheses, selected from 16206 possible combinations, led to three high‐performance compositions, demonstrating the remarkable efficiency of data‐driven guidance in experimental materials ...
Hanhwi Jang +8 more
wiley +1 more source
A numerical comparison between degenerate parabolic and quasilinear hyperbolic models of cell movements under chemotaxis [PDF]
, 2014 We consider two models which were both designed to describe the movement of eukaryotic cells responding to chemical signals. Besides a common standard parabolic equation for the diffusion of a chemoattractant, like chemokines or growth factors, the two ...
Natalini, Roberto +2 more
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Self-Similar Intermediate Asymptotics for a Degenerate Parabolic Filtration-Absorption Equation
, 2000 The equation $$ \partial_tu=u\partial^2_{xx}u-(c-1)(\partial_xu)^2 $$ is known in literature as a qualitative mathematical model of some biological phenomena.
Barenblatt, G. I. +3 more
core +2 more sources
NULL CONTROLLABILITY OF DEGENERATE NONAUTONOMOUS PARABOLIC EQUATIONS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2019 In this paper we are interested in the study of the null controllability for the one dimensional degenerate non autonomous parabolic equation$$u_{t}-M(t)(a(x)u_{x})_{x}=h\chi_{\omega},\qquad (x,t)\in Q=(0,1)\times(0,T),$$ where $\omega=(x_{1},x_{2})$ is asmall nonempty open subset in $(0,1)$, $h\in L^{2}(\omega\times(0,T))$, the diffusion coefficients
Benaissa, Abbes +2 more
openaire +1 more source
Advanced Materials, EarlyView.A new monolayer insulator, InO2, is synthesized by intercalating indium beneath patterned epitaxial graphene on SiC, followed by high‐temperature oxidation. This selective confinement yields large‐area, uniform InO2 with a wide bandgap of 4.1 eV. Upon intercalation, the EG/n‐SiC junction transitions from ohmic to Schottky, exhibiting a rectification ...
Furkan Turker +18 more
wiley +1 more source
Global attractor for a semilinear parabolic equation involving Grushin operator
Electronic Journal of Differential Equations, 2008 The aim of this paper is to prove the existence of a global attractor for a semilinear degenerate parabolic equation involving the Grushin operator.
Phan Quoc Hung +3 more
doaj
On Tricomi Problem of Chaplygin’s Hodograph Equation
Abstract and Applied Analysis, 2015 The existence and uniqueness results for the Tricomi problem of Chaplygin’s hodograph equation are shown, in the case that the domain considered is close to the parabolic degenerate line, by adopting the energy integral methods and choosing judiciously ...
Meng Xu, Li Liu, Hairong Yuan
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Improving Newton's method performance by parametrization: the case of Richards equation [PDF]
, 2016 The nonlinear systems obtained by discretizing degenerate parabolic equations may be hard to solve, especially with Newton's method. In this paper, we apply to Richards equation a strategy that consists in defining a new primary unknown for the ...
Brenner, Konstantin, Cancès, Clément
core +3 more sources