Results 81 to 90 of about 13,183 (198)

Existence of solutions for quasilinear parabolic equations at resonance

Electronic Journal of Differential Equations, 2013
In this article, we show the existence of nontrivial solutions for a class of quasilinear parabolic differential equations. To obtain the solution in a weighted Sobolev space, we use the Galerkin method, Brouwer's theorem, and a compact Sobolev-type ...
Gao Jia, Xiao-Juan Zhang, Li-Na Huang
doaj  

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
doaj   +1 more source

The Influence of Non-Isothermal Conditions on Pressure Head Jumps in the Nonlinear Consolidation Problem in the Presence of Geobarriers

Journal of Optimization, Differential Equations and Their Applications
A nonlinear boundary value problem is considered for a system of parabolic equations in an inhomogeneous region, that requires conjugation conditions.
Olha R. Michuta, Petro M. Martyniuk, Nataliia V. Ivanchuk, Mykhailo V. Boichura   +3 more
doaj   +1 more source

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

Electronic 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, Xinyue Wang, Yuanyuan Nie, Hong He   +3 more
doaj  

Holder continuity of bounded weak solutions to generalized parabolic p-Laplacian equations I: degenerate case

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  

Development of attenuation and diffraction corrections for linear and nonlinear Rayleigh surface waves radiating from a uniform line source

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, Shuzeng Zhang, Sungjong Cho, Xiongbing Li   +3 more
doaj   +1 more source

High precision compact numerical approximation in exponential form for the system of 2D quasilinear elliptic BVPs on a discrete irrational region. [PDF]

MethodsX, 2022
Mohanty RK, Setia N, Khurana G, Manchanda G.   +3 more
europepmc   +1 more source

Determination of a diffusion coefficient in a quasilinear parabolic equation

Open Mathematics, 2017
Abstract This paper investigates the inverse problem of finding the time-dependent diffusion coefficient in a quasilinear parabolic equation with the nonlocal boundary and integral overdetermination conditions. Under some natural regularity and consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data ...
openaire   +4 more sources

On Regularized Systems of Equations for Gas Mixture Dynamics with New Regularizing Velocities and Diffusion Fluxes. [PDF]

Entropy (Basel), 2023
Zlotnik A, Lomonosov T.
europepmc   +1 more source

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
openaire   +2 more sources