Grid-based Methods in Relativistic Hydrodynamics and Magnetohydrodynamics. [PDF]
Living Rev Comput Astrophys, 2015 Martí JM, Müller E.
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Considerations for Choosing Sensitive Element Size for Needle and Fiber-Optic Hydrophones-Part I: Spatiotemporal Transfer Function and Graphical Guide. [PDF]
IEEE Trans Ultrason Ferroelectr Freq Control, 2019 Wear KA.
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Speeds of Propagation in Classical and Relativistic Extended Thermodynamics. [PDF]
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A quasilinear degenerate parabolic equation
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Existence Results for Some Quasilinear Parabolic Equations
Nonlinear Analysis: Theory, Methods & Applications, 1989A quasilinear parabolic equation is considered. Minimal regularity of the data and a natural growth condition are assumed. It is shown that if there exist a subsolution \(\phi\) and a supersolution \(\psi\) such that \(\phi\leq \psi\), then there exists at least one weak solution u such that \(\phi\leq u\leq \psi\).
Lucio Boccardo +2 more
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On the Blow-up for Quasilinear Parabolic Equations
Journal of Partial Differential Equations, 1993Summary: This article is concerned with the position of blow-up points, blow up rate and an isoperimetric problem for the equation \(u_ t = \Delta u^ m + u^ p\) \((p>m \geq 1)\) in a convex bounded domain.
Wang, Liwen, Chen, Qingyi
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Central manifolds of quasilinear parabolic equations
Ukrainian Mathematical Journal, 1998This paper deals with a nonlinear parabolic problem of the following form \[ \frac{\partial u}{\partial t}- \sum_{|\alpha |= 2m} a_{\alpha}(x,u,\dots, D^{\beta}u) D^{\alpha } u= f (x, u,\dots, D^{\beta}u), \quad |\beta |\leq 2m-1, \tag{1} \] where \( \alpha =(\alpha_{1},\dots, \alpha_{n}) \) is a multi-index and \( D^{\alpha } = \partial^{|\alpha |} / \
Belan, E. P., Lykova, O. B.
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Removable Singularities and Quasilinear Parabolic Equations
Proceedings of the London Mathematical Society, 1984On etablit un theoreme sur les singularites eliminables pour des equations parabiliques ...
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