Results 51 to 60 of about 118,579 (376)

Convergence analysis of domain decomposition based time integrators for degenerate parabolic equations

, 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

Fundamental solutions for degenerate parabolic equations [PDF]

Acta Mathematica, 1974
This chapter explains the construction of a candidate for a fundamental solution and the existence, smoothness, and certain bounds for a fundamental solution Γ. The underlying assumptions were that ( a ij , ( x )) is uniformly positive definite and a ij , b i are bounded and uniformly Holder continuous. The chapter presents a proof of how if a ij ,
openaire   +3 more sources

On classification of weak solutions to initial-boundary value problems for degenerate parabolic equations

Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2010
The classification of the weak solutions to Dirichlet initial boundary value problemassociated with a linear degenerate parabolic equation has been studied. Some applications to associated optimal control problems in coeffcients are discussed.
I. G. Balanenko, P. I. Kogut
doaj   +1 more source

Asymptotic expansions for degenerate parabolic equations

Comptes Rendus. Mathématique, 2014
We prove asymptotic convergence results for some analytical expansions of solutions to degenerate PDEs with applications to financial mathematics. In particular, we combine short-time and global-in-space error estimates, previously obtained in the uniformly parabolic case, with some a priori bounds on “short cylinders”, and we achieve short-time ...
PASCUCCI, ANDREA, Stefano Pagliarani, PAGLIARANI, STEFANO   +2 more
openaire   +1 more source

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

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

Strong solutions of the thin film equation in spherical geometry

, 2017
We study existence and long-time behaviour of strong solutions for the thin film equation using a priori estimates in a weighted Sobolev space. This equation can be classified as a doubly degenerate fourth-order parabolic and it models coating flow on ...
A Burchard, A Friedman, A Unterreiter, D Kang, D Takagi, E Beretta, EA Carlen, F Bernis, JA Carrillo, L Caffarelli, M Chugunova, SK Wilson   +11 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

Fermi Surface Nesting and Anomalous Hall Effect in Magnetically Frustrated Mn2PdIn

Advanced Functional Materials, EarlyView.
Mn2PdIn, a frustrated inverse Heusler alloy, showing electronic‐structure driven anomalous Hall effect with Weyl crossings, Fermi‐surface nesting and near‐zero magnetization ideal for low‐magnetization spintronics. Abstract Noncollinear magnets with near‐zero net magnetization and nontrivial bulk electronic topology hold significant promise for ...
Afsar Ahmed, Arnab Bhattacharya, Prashant Singh, Ajay Kumar, Tukai Singha, Anis Biswas, Yaroslav Mudryk, I. Das   +7 more
wiley   +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