Results 21 to 30 of about 56,397 (151)
Solutions of an anisotropic nonlocal problem involving variable exponent
Advances in Nonlinear Analysis, 2013 The present paper deals with an anisotropic Kirchhoff problem under homogeneous Dirichlet boundary conditions, set in a bounded smooth domain of ℝN ().
Avci Mustafa +2 more
doaj +1 more source
Analyticity and Existence of the Keller–Segel–Navier–Stokes Equations in Critical Besov Spaces
Advanced Nonlinear Studies, 2018 This paper deals with the Cauchy problem to the Keller–Segel model coupled with the incompressible 3-D Navier–Stokes equations. Based on so-called Gevrey regularity estimates, which are motivated by the works of Foias and Temam [20], we prove that the ...
Yang Minghua, Fu Zunwei, Liu Suying
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On the 3D steady flow of a second grade fluid past an obstacle
, 2010 We study steady flow of a second grade fluid past an obstacle in three space dimensions. We prove existence of solution in weighted Lebesgue spaces with anisotropic weights and thus existence of the wake region behind the obstacle.
A. Novotný +11 more
core +1 more source
The Boundedness of Generalized Fractional Integral Operators on Small Morrey Spaces
Cauchy: Jurnal Matematika Murni dan AplikasiThe small Morrey space is the set of locally Lebesgue integrable functions with norm defined supremum over radius of ball . This paper aims to prove the boundedness properties of the generality of fractional integral operators in small Morrey spaces ...
Rizky Aziz Syaifudin +3 more
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A goodness‐of‐fit test for regression models with discrete outcomes
Canadian Journal of Statistics, EarlyView.Abstract Regression models are often used to analyze discrete outcomes, but classical goodness‐of‐fit tests such as those based on the deviance or Pearson's statistic can be misleading or have little power in this context. To address this issue, we propose a new test, inspired by the work of Czado et al.
Lu Yang +2 more
wiley +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Energy Science &Engineering, EarlyView.Tri‐fuel diesel–Calophyllum inophyllum biodiesel–hydrogen operation was tested over 96 points in a diesel engine. Eight performance and emission metrics feed a preference‐agnostic Bootstrapped Empirical Multiobjective Ranking and Selection methodology, revealing load‐blend‐hydrogen windows that increase efficiency, restrain smoke, and expose NOx trade ...
C. Naga Kumar +5 more
wiley +1 more source
Some applications of the isoperimetric inequality for integral varifolds [PDF]
, 2017 In this work the isoperimetric inequality for integral varifolds of locally bounded first variation is used to obtain sharp estimates for the size of the set where the density quotient is small and to generalise Calderón's and Zygmund's theory of first ...
Menne, Ulrich
core
Coupled Clustering in Hierarchical Matrices for the Oseen Problem
International Journal for Numerical Methods in Fluids, EarlyView.Fluid flow problems can be modelled by the Navier‐Stokes or, after linearization, by the Oseen equations. Their discretization results in linear systems in saddle point form which are typically very large and need to be solved iteratively. We propose a novel block structure for hierarchical matrices which is then used to build preconditioners for the ...
Jonas Grams, Sabine Le Borne
wiley +1 more source