Results 21 to 30 of about 451,720 (336)
Resistive and viscous dynamics of finite-amplitude shear waves at a magnetic X-point [PDF]
, 2005 The dynamics and dissipation of axial shear waves, superposed on a planar magnetic X-point in a resistive viscous incompressible plasma, are analyzed numerically and analytically. The interplay of viscous and resistive effects is demonstrated by deriving
Craig, Ian J.D.
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Networks and Heterogeneous Media, 2018 The aim of this short note is: $(i)$ to report an error in [1]; $(ii)$ to explain why the comparison result of [1] lacks an hypothesis in the definition of subsolutions if we allow them to be discontinuous; $(iii)$ to describe a simple counter ...
Guy Barles, Emmanuel Chasseigne
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MathematicsIn this paper, the existence of viscosity solutions for weakly coupled, degenerate, and cooperative parabolic systems is studied in a bounded domain. In particular, we consider the viscosity solutions of parabolic systems with fully nonlinear degenerated
Georgi Boyadzhiev, Nikolay Kutev
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, 2014 We are concerned with spherically symmetric solutions of the Euler equations for multidimensional compressible fluids, which are motivated by many important physical situations.
Chen, Gui-Qiang G., Perepelitsa, Mikhail
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A note on quasilinear equations with fractional diffusion
Mathematics in Engineering, 2021 In this paper, we study the existence of distributional solutions of the following non-local elliptic problem \begin{eqnarray*} \left\lbrace \begin{array}{lll} (-\Delta)^{s}u + |\nabla u|^{p} &= & f \quad\text{ in } \Omega\\ \qquad \qquad
Boumediene Abdellaoui +2 more
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, 2010 We study some particular solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure, in radial symmetry. With extension of the previous known blowup solutions for the Euler-Poisson equations / pressureless Navier ...
Hei, Yeung Ling, Manwai, Yuen
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Path-dependent equations and viscosity solutions in infinite dimension [PDF]
, 2017 Path-dependent PDEs (PPDEs) are natural objects to study when one deals with non Markovian models. Recently, after the introduction of the so-called pathwise (or functional or Dupire) calculus (see [15]), in the case of finite-dimensional underlying ...
Cosso, Andrea +4 more
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On the Tonelli method for the degenerate parabolic Cauchy problem with functional argument [PDF]
Opuscula Mathematica, 2014 The degenerate parabolic Cauchy problem is considered. A functional argument in the equation is of the Hale type. As a limit of piecewise classical solutions we obtain a viscosity solution of the main problem. Presented method is an adaptation of Tonelli'
Krzysztof A. Topolski
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Equivalence of solutions for non-homogeneous $ p(x) $-Laplace equations
Mathematics in Engineering, 2023 We establish the equivalence between weak and viscosity solutions for non-homogeneous $ p(x) $-Laplace equations with a right-hand side term depending on the spatial variable, the unknown, and its gradient.
María Medina , Pablo Ochoa
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On the viscosity solutions to Trudinger's equation
, 2015 We study the existence of positive viscosity solutions to Trudinger's equation for cylindrical domains $\Omega\times[0, T)$, where $\Omega\subset \mathbb{R}^n,\;n\ge 2,$ is a bounded domain, $T>0$ and $2\leq ...
Bhattacharya, Tilak, Marazzi, Leonardo
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