Results 51 to 60 of about 39,676 (281)
Linear parabolic equations with strong boundary degeneration [PDF]
Journal of Elliptic and Parabolic Equations, 2020 As an application of the theory of linear parabolic differential equations on noncompact Riemannian manifolds, developed in earlier papers, we prove a maximal regularity theorem for nonuniformly parabolic boundary value problems in Euclidean spaces.
openaire +2 more sources
Admissible conditions for parabolic equations degenerating at infinity [PDF]
St. Petersburg Mathematical Journal, 2008 From the introduction: We investigate existence and uniqueness for bounded solutions of the parabolic Cauchy problem \[ \begin{aligned} \rho\partial_tu= \Delta u\quad &\text{in }\mathbb{R}^n\times \mathbb{R}_+:= S,\\ u= u_0\quad &\text{in }\mathbb{R}^n\times \{0\}\;(n\geq 3).\end{aligned}\tag{1.1} \] Concerning the coefficient \(\rho= \rho(x)\) and the
KAMIN S +2 more
openaire +2 more sources
In Situ Micromechanical Study of Bimodal γ′–γ″ Precipitate Assemblies in Ni–Cr–Al–Nb Superalloy
Advanced Engineering Materials, EarlyView.A Ni–Cr–Al–Nb superalloy with a bimodal γ′–γ″ precipitate distribution is developed. Composite precipitate assemblies form through heterogeneous nucleation, effectively impeding dislocation motion. Micropillar compression reveals high strength at room and elevated temperatures, governed by precipitate shearing, with coupled faulting mechanisms ...
Ujjval Bansal +4 more
wiley +1 more source
On a Class of Degenerate Abstract Parabolic Problems and Applications to Some Eddy Current Models
, 2020 We present an abstract framework for parabolic type equations which possibly degenerate on certain spatial regions. The degeneracies are such that the equations under investigation may admit a type change ranging from parabolic to elliptic type problems.
Pauly, Dirk +3 more
core
Some Free Boundary Problems involving Nonlocal Diffusion and Aggregation
, 2015 We report on recent progress in the study of evolution processes involving degenerate parabolic equations what may exhibit free boundaries. The equations we have selected follow to recent trends in diffusion theory: considering anomalous diffusion with ...
Carrillo, Jose Antonio +1 more
core +2 more sources
Advanced Functional Materials, EarlyView.Bioprosthetic aortic valves have revolutionized the treatment of aortic stenosis, but their durability is limited by structural valve deterioration (SVD). This review focuses on the pericardial tissue at the heart of these valves, examining how its mechanical properties and calcification drive fatigue and failure.
Gabriele Greco +7 more
wiley +1 more source
Electronic Journal of Differential Equations, 2018 This article shows Carleman estimate and null controllability of a cascade control system governed by the semilinear degenerate parabolic equations with the general convection terms.
Jianing Xu, Chunpeng Wang, Yuanyuan Nie
doaj
Advanced Functional Materials, EarlyView.The hidden role of Cd segregation at grain boundaries is revealed in p‐type Mg3Sb2 by atom probe tomography and other advanced characterizations. Grain boundary Cd enrichment suppresses the SbMg+ hole‐killer formation and lowers potential barriers, enhancing electrical conductivity.
Zhou Li +12 more
wiley +1 more source
Null controllability of a coupled system of degenerate parabolic equations with lower order terms
Electronic Journal of Differential Equations, 2019 This article concerns the null controllability of a control system governed by coupled degenerate parabolic equations with lower order terms. For these equations, the convection terms cannot be controlled by the diffusion terms.
Jianing Xu, Qian Zhou, Yuanyuan Nie
doaj
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
core +1 more source