Results 121 to 130 of about 1,312 (223)

Moving interfaces and quasilinear parabolic evolution equations

open access: yes, 2016
In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces.
Prüss, Jan, Simonett, Gieri
core   +1 more source

Remarks on the Dirichlet and State-Constraint Problems for Quasilinear Parabolic Equations

open access: yes, 2003
We prove two different types of comparison results between semicontinuous viscosity sub- and supersolutions of the generalized Dirichlet problem (in the sense of viscosity solutions theory) for quasilinear parabolic equations~: the first one is an ...
Francesca Da Lio   +3 more
core  

Holder continuity of bounded weak solutions to generalized parabolic p-Laplacian equations II: singular case

open access: yesElectronic 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  

Research of Compatibility of the Redefined System for the Multidimensional Nonlinear Heat Equation (Special Case)

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2016
In paper the multidimensional equation of nonlinear heat conductivity is investigated. This equation is presented in the form of the overdetermined system of the differential equations with partial derivatives (the number of the equations are more than ...
G. Rudykh, E. Semenov
doaj  

A proof of validity for multiphase Whitham modulation theory. [PDF]

open access: yesProc Math Phys Eng Sci, 2020
Bridges TJ, Kostianko A, Schneider G.
europepmc   +1 more source

Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations

open access: yes
We prove linear convergence for a new family of modified Dirichlet–Neumann methods applied to quasilinear parabolic equations, as well as the convergence of the Robin–Robin method.
Engström, Emil, Hansen, Eskil
core   +1 more source

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