Results 71 to 80 of about 1,264,456 (207)

Interior Harnack Estimates: The State-of-the-Art for Quasilinear Singular Parabolic Equations

open access: yes, 2015
In this paper we give some historical information about elliptic and parabolic Harnack inequalities. Then we state the main results known for Harnack inequalities of solutions to quasilinear degenerate parabolic equations.
FORNARO, SIMONA   +4 more
core   +1 more source

A family of difference schemes for fourth order parabolic partial differential equations [PDF]

open access: yes, 1983
A family of methods is developed for the numerical solution of fourth order parabolic partial differential equations in one- and two-space variables.
Khaliq, AQM, Twizell, EH
core   +3 more sources

Uniqueness of a very singular solution to nonlinear degenerate parabolic equations with absorption for Dirichlet boundary condition

open access: yesElectronic Journal of Differential Equations, 2016
We prove the existence and uniqueness of singular solutions (fundamental solution, very singular solution, and large solution) of quasilinear parabolic equations with absorption for Dirichlet boundary condition. We also show the short time behavior of
Nguyen Anh Dao
doaj  

High-Order Difference Scheme for Time-Fractional Quasilinear Parabolic Equations

open access: yesMathematics
Mathematical modeling of heat and mass transfer processes in porous media using fractional derivative equations is of great practical importance. Within the framework of such models, obtaining analytical solutions to the corresponding initial–boundary ...
Miglena N. Koleva, Lubin G. Vulkov
doaj   +1 more source

Existence and Nonexistence of Global Solutions of the Quasilinear Parabolic Equations with Inhomogeneous Terms

open access: yesAdvances in Difference Equations, 2010
We consider the quasilinear parabolic equation with inhomogeneous term , , where , , , , and , . In this paper, we investigate the critical exponents of this equation.
Kobayashi Yasumaro
doaj   +2 more sources

Optimal Control of Quasilinear Parabolic Equations

open access: yes, 1993
Casas, Eduardo; Fernandez, Luis A.; Yong, Jiongmin. (1993). Optimal control of quasilinear parabolic equations.
Yong, Jiongmin   +5 more
core  

Quasilinear evolution equations and parabolic systems

open access: yes, 1986
It is shown that general quasilinear parabolic systems possess unique maximal classical solutions for sufficiently smooth initial values, provided the boundary conditions are “time-independent”.
Herbert Amann
core   +1 more source

NUMERICAL ANALYSIS OF THE LEVERETT FUNCTION FORM INFLUENCE FOR THE RAPPOPORT - LEAS EQUATION SOLUTIONS

open access: yesИзвестия высших учебных заведений: Нефть и газ, 2018
The article deals with the classical mathematical model of filtration of two immiscible liquids in a non-deformable porous medium taking into account capillary forces. It is the Muskat - Leverett model. The model is based on the experimentally determined
I. G. Telegin, O. B. Bocharov
doaj   +1 more source

Potential Estimates and Quasilinear Parabolic Equations with Measure Data

open access: yesMemoirs of the American Mathematical Society, 2023
In this memoir, we study the existence and regularity of the quasilinear parabolic equations: u t
openaire   +4 more sources

Asymptotic behavior of solutions to a degenerate quasilinear parabolic equation with a gradient term

open access: yesElectronic Journal of Differential Equations, 2015
This article concerns the asymptotic behavior of solutions to the Cauchy problem of a degenerate quasilinear parabolic equations with a gradient term.
Huilai Li   +3 more
doaj  

Home - About - Disclaimer - Privacy