Results 51 to 60 of about 4,008,571 (171)

High‐Order Projection‐Based Upwind Method for Simulation of Transitional Turbulent Flows

International Journal for Numerical Methods in Fluids, EarlyView.
In this study, we evaluated the implicit large‐eddy simulation capabilities of the mass‐conserving mixed stress method for transitional turbulent flows and proposed an efficient solution method for large‐scale applications. The results presented in this work show promising outcomes for incompressible aerodynamic flow problems, which can be further ...
Philip L. Lederer, Xaver Mooslechner, Joachim Schöberl   +2 more
wiley   +1 more source

Clarkson’s Inequalities for Periodic Sobolev Space [PDF]

Учёные записки Казанского университета: Серия Физико-математические науки, 2016
The paper is devoted to developing the proof of Clarkson's inequalities for periodic functions belonging to the Sobolev space. The norm of the space has not been considered earlier.
I.V. Korytov
doaj  

Boundedness of Composition Operators in Orlicz–Morrey Spaces

Mathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we investigate the necessary and sufficient conditions for the boundedness of composition operators on Orlicz–Morrey spaces. Our results encompass Lebesgue and generalized Morrey spaces as special cases. In addition, we characterize the boundedness of composition operators on weak Orlicz–Morrey spaces, which include the Orlicz ...
Masahiro Ikeda, Isao Ishikawa, Ryota Kawasumi   +2 more
wiley   +1 more source

A Kantorovich Version of Bernstein‐Type Logarithmic Operators

Mathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we introduce a Kantorovich version of the Bernstein‐type logarithmic operators. The idea comes from the wide literature concerning exponential polynomials that preserve exponential functions: here, the exponential weights are replaced by logarithmic ones and the corresponding operators preserve the logarithmic functions.
Laura Angeloni, Danilo Costarelli, Chiara Darielli   +2 more
wiley   +1 more source

Sobolev spaces of vector-valued functions [PDF]

, 2020
We are concerned here with Sobolev-type spaces of vector-valued functions. For an open subset Ω ⊂ R N and a Banach space V , we compare the classical Sobolev space W1,p(Ω, V ) with the so-called Sobolev-Reshetnyak space R1,p(Ω, V ).
Ruiz de Alarcón, Alberto, Prieto Yerro, M. Ángeles, Caamaño Aldemunde, Iván, Jaramillo, J., Caamaño, I., Prieto, A., Jaramillo Aguado, Jesús Angel   +6 more
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Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion

Mathematische Nachrichten, EarlyView.
ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng, Hao Shen, Ranchao Wu, Hao Wang   +3 more
wiley   +1 more source

An approach to metric space-valued Sobolev maps via weak* derivatives

Analysis and Geometry in Metric Spaces
We give a characterization of metric space-valued Sobolev maps in terms of weak* derivatives. More precisely, we show that Sobolev maps with values in dual-to-separable Banach spaces can be defined in terms of classical weak derivatives in a weak* sense.
Creutz Paul, Evseev Nikita
doaj   +1 more source

Polynomial differentiation decreases the training time complexity of physics-informed neural networks and strengthens their approximation power

Machine Learning: Science and Technology, 2023
We present novel approximates of variational losses, being applicable for the training of physics-informed neural networks (PINNs). The formulations reflect classic Sobolev space theory for partial differential equations (PDEs) and their weak ...
Juan-Esteban Suarez Cardona, Michael Hecht   +1 more
doaj   +1 more source

Fragmentation–Coagulation Processes With Advection or Diffusion in Space

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley   +1 more source

Hardy-Sobolev inequalities in the half space (Theory of function spaces and related topics) [PDF]

, 2023
Our aim is to establish Hardy-Sobolev inequalities for Sobolev functions in Herz-Morrey spaces, which extend the classical Hardy inequalities in the L[p] Lebesgue ...
Mizuta, Yoshihiro, Shimomura, Tetsu
core