Results 51 to 60 of about 40,571 (332)

Degenerate parabolic equations appearing in atmospheric dispersion of pollutants

Electronic Journal of Qualitative Theory of Differential Equations, 2016
Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters.
Veli Shakhmurov, Aida Sahmurova
doaj   +1 more source

Self‐Assembled Gallium Sulfide (GaS) Heterostructures Enabling Efficient Water Splitting and Selective Ammonia Sensing

Advanced Functional Materials, EarlyView.
Gallium sulfide (GaS) forms self‐assembled heterostructures with its native oxide, exhibiting high performance in water splitting and ultrasensitive and selective ammonia detection. Surface defects and controlled oxidation enhance catalytic activity and sensing response.
Danil W. Boukhvalov, Gianluca D'Olimpio, Tsotne Dadiani, Jyayasi Sharma, Ashraf Abdelrahman Assadig Elameen, Stefano Zenone, Marcin Rosmus, Bekir Gürbulak, Emir Çepni, Eduard Llobet, Elena Magnano, Federica Bondino, Songül Duman, Antonio Politano   +13 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, Picard, Rainer, Trostorff, Sascha, Waurick, Marcus   +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, Vazquez, Juan Luis   +1 more
core   +2 more sources

Bicontinuous Microarchitected Scaffolds Provide Topographic Cues That Govern Neuronal Behavior and Maturation

Advanced Functional Materials, EarlyView.
A scalable biomimetic platform transforms bioinert poly(ethylene glycol) diacrylate into neuroinstructive matrices via integrating solvent transfer‐induced phase separation, microfluidics, and 3D bioprinting. Bicontinuous, hyperbolically curved microporous networks embedded within a fibrous construct elicit rapid adhesion, robust proliferation, and ...
Prince D. Okoro, Kevin Dalsania, Shiril B. Iragavarapu, Benjamin Dela Cruz, Aihik Banerjee, Merve Basaranbilek, Martin F. Haase, Bahman Anvari, Iman Noshadi   +8 more
wiley   +1 more source

First-Order Regular and Degenerate Identification Differential Problems

Abstract and Applied Analysis, 2015
We are concerned with both regular and degenerate first-order identification problems related to systems of differential equations of weakly parabolic type in Banach spaces. Several applications to partial differential equations and systems will be given
A. Favini, A. Lorenzi, H. Tanabe
doaj   +1 more source

Gradient estimates for degenerate quasi-linear parabolic equations

, 2010
For a general class of divergence type quasi-linear degenerate parabolic equations with differentiable structure and lower order coefficients form bounded with respect to the Laplacian we obtain $L^q$-estimates for the gradients of solutions, and for the
Liskevich, Vitali, Skrypnik, Igor I., Sobol, Zeev   +2 more
core   +1 more source

Unlocking the Full Potential of MgAgSb by Unravelling the Interrelation of Phase Constitution and Thermoelectric Properties

Advanced Functional Materials, EarlyView.
Persistent secondary phases govern the performance of many thermoelectric materials, particularly of high performance MgAgSb. In this study advanced microstructural characterization for unequivocal phase identification combined with transport modeling and statistical analysis enabled the quantification of each phase's impact, revealing the most ...
Amandine Duparchy, Frederic Kreps, Eckhard Müller, Johannes de Boor   +3 more
wiley   +1 more source

Carleman estimate and null controllability of a cascade degenerate parabolic system with general convection terms

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  

On the behavior of the solutions of degenerate parabolic equations [PDF]

Nagoya Mathematical Journal, 1999
AbstractIn this paper we consider degenerate parabolic equations, and obtain an interior and a boundary Harnack inequalities for nonnegative solutions to the degenerate parabolic equations. Furthermore we obtain boundedness and continuity of the solutions.
openaire   +3 more sources