Inverse problem of determining the coefficients in a degenerate parabolic equation
Electronic Journal of Differential Equations, 2014 We consider the inverse problem of identifying the time-dependent coefficients in a degenerate parabolic equation. The conditions of existence and uniqueness of the classical solution to this problem are established. We investigate the case of weak
Nadiya Huzyk
doaj
On an Anisotropic Parabolic Equation on the Domain with a Disjoint Boundary
Journal of Function Spaces, 2018 Consider the anisotropic parabolic equation with the variable exponents vt=∑i=1n(bi(x)vxiqix-2vxi)xi, where bi(x),qi(x)∈C1(Ω¯), qi(x)>1, and bi(x)≥0. If {bi(x)} is not degenerate on Σp⊂∂Ω, a part of the boundary, but is degenerate on the remained part ∂Ω∖
Huashui Zhan
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The initial-boundary value problem for a nonlinear degenerate parabolic equation [PDF]
, 1991 Isamu Fukuda, Masayoshi Tsutsumi
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Inverse Design of Active‐Source Metamaterials for Thermal Camouflage with Arbitrary Active Sources
Advanced Science, EarlyView.Active‐source metamaterials (ASM) revolutionize thermal camouflage by enabling the precise manipulation of heat signatures, transforming any active source into a desired thermal pattern. This breakthrough technology holds immense potential for infrared stealth, advanced thermal management, and energy‐efficient architecture, offering unprecedented ...
Xianrong Cao +9 more
wiley +1 more source
Carleman Estimates and null controllability of coupled degenerate systems [PDF]
arXiv, 2011 In this paper, we study the null controllability of weakly degenerate coupled parabolic systems with two different diffusion coefficients and one control force. To obtain this aim, we develop first new global Carleman estimates for degenerate parabolic equations with weight functions different from the ones in the previous works.
arxiv
Existence and uniqueness for a degenerate parabolic equation with 𝐿¹-data [PDF]
, 1999 F. Andreu +3 more
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Enhancing Thermoelectric Performance of Cd₃P₂ by Alloying with Dirac Material Cd₃As₂
Advanced Electronic Materials, EarlyView.This study demonstrates that alloying Cd₃P₂ with Dirac material Cd₃As₂ significantly enhances its thermoelectric performance. Key improvements include increased carrier mobility, reduced effective mass, and lower deformation potential, resulting in a doubled power factor and improved thermoelectric efficiency, which renders this material applicable for
Kunling Peng +11 more
wiley +1 more source
Controllability of nonlinear degenerate parabolic cascade systems
Electronic Journal of Differential Equations, 2016 This article studies of null controllability property of nonlinear coupled one dimensional degenerate parabolic equations. These equations form a cascade system, that is, the solution of the first equation acts as a control in the second equation and
Mamadou Birba, Oumar Traore
doaj
Continuity estimates for degenerate parabolic double-phase equations via nonlinear potentials [PDF]
arXivIn this article, we study regularity properties for degenerate parabolic double-phase equations. We establish continuity estimates for bounded weak solutions in terms of elliptic Riesz potentials on the right-hand side of the equation.
arxiv
The cauchy problem of a degenerate parabolic equation
Monatshefte f�r Mathematik, 1977 This note is concerned with the existence of a weak solution for a degenerate Cauchy problem of parabolic type in then-dimensional spaceRn. The degenerate property is in the sense that the matrix (aij(t,x)) involved in the differential operator is not necessarily positive definite.
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