Results 81 to 90 of about 4,008,571 (171)
Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications
Electronic Journal of Differential Equations, 2019 In this article we prove a Logarithmic Sobolev type inequality and a Poincare type inequality for functions in the anisotropic Gaussian Sobolev space.
Filomena Feo, Gabriella Paderni
doaj
Hyponormal Toeplitz Operators on the Dirichlet Spaces
Abstract and Applied Analysis, 2013 We completely characterize the hyponormality of bounded Toeplitz operators with Sobolev symbols on the Dirichlet space and the harmonic Dirichlet space.
Puyu Cui, Yufeng Lu
doaj +1 more source
Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, Volume 79, Issue 12, Page 2435-2490, December 2026.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
Advanced Nonlinear Studies, 2019 In line with the Trudinger–Moser inequality in the fractional Sobolev–Slobodeckij space due to [S. Iula, A note on the Moser–Trudinger inequality in Sobolev–Slobodeckij spaces in dimension one, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
Zhang Caifeng
doaj +1 more source
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The previously introduced X‐FFT solver permits solving three‐dimensional linear elastic homogenization problems with high accuracy and efficiency. Due to the extended finite element discretization (X‐FEM), matrix‐inclusion problems may be approximated with the error convergence of interface‐conforming finite elements.
Flavia Gehrig, Matti Schneider
wiley +1 more source
Model Adjustments and Solver Construction for Galvanic Cells Based on NPP‐Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Electroplated coatings on metallic substrates have a wide range of practical applications ranging from corrosion or wear protection on parts, good conductivity on electrical contacts to coating systems for bipolar plates in fuel cells. The large field of applications in electrochemical engineering motivates several questions for scientific ...
Stephan Daniel Schwöbel +2 more
wiley +1 more source
Hilbert Transform Pairs of Wavelets
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The orthogonal projection of a real orthonormal wavelet basis onto the Hardy space—consisting of functions whose Fourier transform is supported only on the positive real axis—yields a Parseval frame of wavelets. Motivated by practical considerations, Kingsbury proposed the use of two real scaling functions from multiresolution analyses (MRAs ...
Moritz Proell
wiley +1 more source
Commuting Toeplitz operators with harmonic symbols on the Fock-Sobolev space
summary:We make a progress towards describing the commuting Toeplitz operators with harmonic symbols on the Fock-Sobolev space. For the certain symbol space, we obtain two Toeplitz operators with harmonic symbols commuting only in the obvious cases ...
Qin, Jie, Liu, Youqi
core +1 more source
The Well-Posedness of Solutions for a Generalized Shallow Water Wave Equation
Abstract and Applied Analysis, 2012 A nonlinear partial differential equation containing the famous Camassa-Holm and Degasperis-Procesi equations as special cases is investigated. The Kato theorem for abstract differential equations is applied to establish the local well-posedness of ...
Shaoyong Lai, Aiyin Wang
doaj +1 more source
Performance of a Mixed Least‐Squares Finite Element Formulation With Application in Poroelasticity
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT A mixed least‐squares finite element method (LSFEM), previously proposed for the theory of porous media (TPM), is further investigated in this work. Finite deformation of a fully saturated, incompressible solid–fluid binary system is studied using the LSFEM.
Manu Hegde +3 more
wiley +1 more source