Results 71 to 80 of about 1,209,265 (177)

The effects of heat exchange and fluid production on the ignition of a porous solid

, 2008
In this paper we study a system of nonlinear parabolic equations representing the evolution of small perturbations in a modeldescribing the combustion of a porous solid.
McIntosh, A.C., Brindley, J., Shah, Akeel A., McIntosh, A. C., Rademacher, Jens, Rademacher, J.D.M. (Jens), Shah, A.A., McIntosh, A., Rademacher, J.   +8 more
core   +1 more source

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

A note on $W^{1,p}$ estimates for quasilinear parabolic equations

Electronic Journal of Differential Equations, 2002
This work deals with the study of the $W^{1,p}$ regularity for the solutions to parabolic equations in divergence form. An argument by perturbation based in real analysis is used.
Ireneo Peral, Fernando Soria
doaj  

A new spline technique for the time fractional diffusion-wave equation. [PDF]

MethodsX, 2023
Singh S, Singh S, Aggarwal A.
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

Regularity for anisotropic quasi-linear parabolic equations with variable growth

Electronic Journal of Differential Equations, 2019
In this article, we study a class of anisotropic quasi-linear parabolic equations with variable exponents. Following DiBenedetto's intrinsic scaling method, we prove local continuity of solutions under the condition for which only local boundedness ...
Hamid El Bahja
doaj  

Regularity results and asymptotic behavior for a noncoercive parabolic problem. [PDF]

J Evol Equ, 2021
Boccardo L, Orsina L, Porzio MM.
europepmc   +1 more source

Locally Invariant Manifolds for Quasilinear Parabolic Equations

Rocky Mountain Journal of Mathematics, 1991
The paper is concerned with the geometric study of an evolution equation of the form \(x'-Lx=f(t,\lambda,x)\), where \(L:D(L)\to X\) is the generator of a holomorphic semigroup and the nonlinearity \(f\) acts essentially from some interpolation space \(D_ L(\theta+1)\) to \(D_ L(\theta)\).
openaire   +2 more sources

Existence of solutions for quasilinear parabolic equations with nonlocal boundary conditions

Electronic Journal of Differential Equations, 2011
We prove the existence of a generalized solution a quasilinear parabolic equation with nonlocal boundary conditions, using the Faedo-Galerkin approximation.
Baili Chen
doaj  

Boundary Value Problems for Some Quasilinear Parabolic Equations Under Minimal Conditions on the Coefficients

Mathematics
Quasilinear parabolic boundary value problems are considered. Sharp conditions on the data ensuring the existence and uniqueness of solutions in Sobolev classes Wp1,2(Q)(p>(n+2)/2 are exposed.
Sergey Pyatkov
doaj   +1 more source