Results 81 to 90 of about 1,264,456 (207)
Journal of Optimization, Differential Equations and Their ApplicationsA nonlinear boundary value problem is considered for a system of parabolic equations in an inhomogeneous region, that requires conjugation conditions.
Olha R. Michuta +3 more
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Uniqueness of limit flow for a class of quasi-linear parabolic equations
Advances in Nonlinear Analysis, 2017 We investigate the issue of uniqueness of the limit flow for a relevant class of quasi-linear parabolic equations defined on the whole space. More precisely, we shall investigate conditions which guarantee that the global solutions decay at infinity ...
Squassina Marco, Watanabe Tatsuya
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Implicit-explicit multistep methods for quasilinear parabolic equations
, 1999 Efficient combinations of implicit and explicit multistep methods for nonlinear parabolic equations were recently studied in [1]. In this note we present a refined analysis to allow more general nonlinearities.
Crouzeix, M. +2 more
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Electronic Journal of Differential Equations, 2015 Here we generalize quasilinear parabolic p-Laplacian type equations to obtain the prototype equation $$ u_t - \hbox{div} \Big(\frac{g(|Du|)}{|Du|} Du\Big) = 0, $$ where g is a nonnegative, increasing, and continuous function trapped in between two
Sukjung Hwang, Gary M. Lieberman
doaj
The nonlocal stefan problem for quasilinear parabolic equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 In this paper, we deal with free boundary problem with nonlocal boundary condition for quasilinear parabolic equation. For the solutions of the problem apriory estimates of Shauder’s type are established. On the base of apriory estimations the existence and uniqueness theorems are proved.
J. O. Takhirov, R. N. Turaev
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AIP Advances, 2016 In recent studies with nonlinear Rayleigh surface waves, harmonic generation measurements have been successfully employed to characterize material damage and microstructural changes, and found to be sensitive to early stages of damage process.
Hyunjo Jeong +3 more
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, 1988 We obtain global existence results for semilinear and quasilinear parabolic systems of partial differential equations.
Waggoner, Sheila
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Critical spaces for quasilinear parabolic evolution equations and applications
, 2018 We present a comprehensive theory of critical spaces for the broad class of quasilinear parabolic evolution equations. The approach is based on maximal L-p-regularity in time-weighted function spaces.
Jan Prüss +5 more
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Explicit exponential decay bounds in quasilinear parabolic problems
Journal of Inequalities and Applications, 1999 This paper deals with classical solutions of some initial boundary value problems involving the quasilinear parabolic equation where are given functions. In the case of one space variable, i.e.
Piro S Vernier, Philippin GA
doaj
p-Laplacian in phenomenological modeling of flow in porous media and CFD simulations
Electronic Journal of Differential EquationsThe aim of this article is to discuss several aspects of connections between the p-Laplacian and mathematical models in hydrology. At first we present models of groundwater flow in phreatic aquifers and models of irrigation and drainage that lead to ...
Petr Girg, Lukas Kotrla, Anezka Svandova
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