Results 31 to 40 of about 2,901 (144)
Asymptotic average solutions to linear second order semi-elliptic PDEs: a Pizzetti-type Theorem [PDF]
, 2022 By exploiting an old idea first used by Pizzetti for the classical Laplacian, we introduce a notion of {\it asymptotic average solutions} making pointwise solvable every Poisson equation $\mathcal{L} u(x)=-f(x)$ with continuous data $f$, where $\mathcal ...
Lanconelli, Ermanno, Kogoj, Alessia E.
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Comparative Assessment of Nonlocal Continuum Solvent Models Exhibiting Overscreening
Computational and Mathematical Biophysics, 2017 Nonlocal continua have been proposed to offer a more realistic model for the electrostatic response of solutions such as the electrolyte solvents prominent in biology and electrochemistry. In this work, we review three nonlocal models based on the Landau-
Ren Baihua, Bardhan Jaydeep P.
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Patankar-Type Runge-Kutta Schemes for Linear PDEs [PDF]
, 2016 We study the local discretization error of Patankar-type Runge-Kutta methods applied to semi-discrete PDEs. For a known two-stage Patankar-type scheme the local error in PDE sense for linear advection or diffusion is shown to be of the maximal order ${
Ortleb, Sigrun +6 more
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Symmetry and monotonicity of singular solutions to p-Laplacian systems involving a first order term [PDF]
We consider positive singular solutions (i.e. with a non-removable singularity) of a system of PDEs driven by p-Laplacian operators and with the additional presence of a nonlinear first order term.
Esposito, Francesco +3 more
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HeliyonThe current research presents a mathematical model to study the flow of a non-Newtonian magnetohydrodynamics (MHD) Casson-Carreau nanofluid (CCNF) over a stretching porous surface, considering mass and heat transport rates with Stefan blowing, non-linear
Musharafa Saleem, Majid Hussain
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SystemsThis paper investigates rumor dissemination dynamics with generalized nonlinear incidence in multilingual environments. We propose a novel stochastic modeling framework that integrates age structure, mandatory isolation mechanisms, and media intervention.
Tingting Zhou +3 more
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Positive Solutions for Dirichlet BVP of PDE Involving \({\varphi_{p}}\)-Laplacian
Fractal and FractionalIn this paper, we investigate the existence of infinitely many small solutions for problem (fφp) involving φp-Laplacian by exploiting critical point theory. Moreover, the present study first attempts to address discrete Dirichlet problems with φp-Laplacian in relation to some relative existing references. As far as we know, this research of the partial
Feng Xiong, Wentao Huang
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Radial basis function based meshless methods for fluid flow problems [PDF]
, 2006 This thesis is concerned with the development of meshless methods using radial basis functions for solving fluid flow problems. The advantage of meshless methods over traditional mesh-based methods is that they make use of a scattered set of collocation ...
Chinchapatnam, Phani P. +1 more
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Positive solutions to indefinite problems: a topological approach [PDF]
, 2016 The present Ph.D. thesis is devoted to the study of positive solutions to indefinite problems. In particular, we deal with the second order nonlinear differential equation u'' + a(t) g(u) = 0, where g : [0,+∞[→[0,+∞[ is a continuous nonlinearity and a :
Feltrin, Guglielmo
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The Principal Spectrum for Linear Nonautonomous Parabolic PDEs of Second Order: Basic Properties [PDF]
, 2000 We put forward a theory extending the notion of principal eigenfunction and principal eigenvalue to the case of linear nonautonomous parabolic PDEs of second orderut=∑i, j=1Naij(t, x)∂2u∂xi∂xj+∑i=1Nai(t, x)∂u∂xi+a0(t, x)u, x∈Ω,on a bounded domain Ω⊂RN ...
Mierczyński, Janusz
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