Results 81 to 90 of about 1,312 (223)

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  

Finite element solutions to boundary value problems

, 1976
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis consists of two distinct parts which deal with two-point boundary value problems and parabolic problems, respectively.
Moore, P
core  

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  

Linear and quasilinear parabolic equations in Sobolev space

, 2015
We consider linear parabolic equations of second order in a Sobolev space setting. We obtain existence and uniqueness results for such equations on a closed two-dimensional manifold, with minimal assumptions about the regularity of the coefficients of ...
Sharples, Jade
core   +2 more sources

Higher-order finite-difference methods for partial differential equations

, 1997
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter, Cheema, T.A.
core  

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

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  

Global estimates for quasilinear parabolic equations on Reifenberg flat domains and its applications to Riccati type parabolic equations with distributional data

In this paper, we prove global weighted Lorentz and Lorentz-Morrey estimates for gradients of solutions to the quasilinear parabolic equations: in a bounded domain , under minimal regularity assumptions on the boundary of domain and on nonlinearity A ...
Nguyen, Quoc-Hung
core   +1 more source