Results 11 to 20 of about 51,103 (185)
Journal of Mathematical Analysis and Applications, 2011 The authors show the existence of a positive, bounded weak solution for a system of partial differential equations having a physical origin. The specific character of this system is the coupling of a variable satisfying a partial differential equation in the domain with a variable satisfying a differential equation on the boundary.
Al-arydah, Moʼtassem, Novruzi, Arian
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On explosive solutions for a class of quasi-linear elliptic equations [PDF]
, 2012 We study existence, uniqueness, multiplicity and symmetry of large solutions for a class of quasi-linear elliptic equations. Furthermore, we characterize the boundary blow-up rate of solutions, including the case where the contribution of boundary ...
Gladiali, Francesca, Squassina, Marco
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The Helically-Reduced Wave Equation as a Symmetric-Positive System [PDF]
, 2003 Motivated by the partial differential equations of mixed type that arise in the reduction of the Einstein equations by a helical Killing vector field, we consider a boundary value problem for the helically-reduced wave equation with an arbitrary source ...
Torre, C. G.
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Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations [PDF]
, 2013 This paper develops a new framework for designing and analyzing convergent finite difference methods for approximating both classical and viscosity solutions of second order fully nonlinear partial differential equations (PDEs) in 1-D.
Feng, Xiaobing +2 more
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A High-Order Kernel Method for Diffusion and Reaction-Diffusion Equations on Surfaces [PDF]
, 2012 In this paper we present a high-order kernel method for numerically solving diffusion and reaction-diffusion partial differential equations (PDEs) on smooth, closed surfaces embedded in $\mathbb{R}^d$. For two-dimensional surfaces embedded in $\mathbb{R}^
Fuselier, Edward J., Wright, Grady B.
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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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The Cauchy problem for the Pavlov equation [PDF]
, 2014 Commutation of multidimensional vector fields leads to integrable nonlinear dispersionless PDEs arising in various problems of mathematical physics and intensively studied in the recent literature.
Grinevich, P. G., Santini, P. M., Wu, D.
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Boundary regularity of stochastic PDEs
, 2018 The boundary behaviour of solutions of stochastic PDEs with Dirichlet boundary conditions can be surprisingly - and in a sense, arbitrarily - bad: as shown by Krylov, for any $\alpha>0$ one can find a simple $1$-dimensional constant coefficient linear ...
Gerencsér, Máté
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Conditional symmetries and Riemann invariants for inhomogeneous hydrodynamic-type systems [PDF]
, 2010 A new approach to the solution of quasilinear nonelliptic first-order systems of inhomogeneous PDEs in many dimensions is presented. It is based on a version of the conditional symmetry and Riemann invariant methods.
A M Grundland +17 more
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, 2018 Fokker-Planck PDEs (incl. diffusions) for stable L vy processes (incl. Wiener processes) on the joint space of positions and orientations play a major role in mechanics, robotics, image analysis, directional statistics and probability theory. Exact analytic designs and solutions are known in the 2D case, where they have been obtained using Fourier ...
Duits, Remco +2 more
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