Results 31 to 40 of about 7,959,436 (371)

On a viscoelastic heat equation with logarithmic nonlinearity

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2022
This work deals with the following viscoelastic heat equations with logarithmic nonlinearity \begin{align*} u_t-\Delta u+\int_{0}^{t}g(t-s)\Delta u(s)ds=\vert u\vert^{p-2}u\ln\vert u\vert.
Nguyen Van Y, Nhan Le, Le Xuan Truong
doaj   +1 more source

Global Existence of Near-Affine Solutions to the Compressible Euler Equations [PDF]

open access: yesArchive for Rational Mechanics and Analysis, 2017
We establish the global existence of solutions to the compressible Euler equations, in the case that a finite volume of ideal gas expands into a vacuum.
S. Shkoller, T. Sideris
semanticscholar   +1 more source

The critical exponents for a semilinear fractional pseudo-parabolic equation with nonlinear memory in a bounded domain

open access: yesElectronic Research Archive, 2023
This paper considers blow-up and global existence for a semilinear space-time fractional pseudo-parabolic equation with nonlinear memory in a bounded domain.
Yaning Li , Yuting Yang
doaj   +1 more source

Global Existence Results and Uniqueness for Dislocation Equations [PDF]

open access: yes, 2008
We are interested in nonlocal Eikonal Equations arising in the study of the dynamics of dislocations lines in crystals. For these nonlocal but also non monotone equations, only the existence and uniqueness of Lipschitz and local-in-time solutions were ...
Cannarsa P.   +9 more
core   +6 more sources

Global existence and boundedness for quasi-variational systems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
We consider quasi-variational ordinary differential systems, which may be considered as the motion law for holonomic mechanical systems. Even when the potential energy of the system is not bounded from below, by constructing appropriate Liapunov ...
Giancarlo Cantarelli
doaj   +1 more source

On the global existence and blow-up for the double dispersion equation with exponential term

open access: yesElectronic Research Archive, 2023
This paper deals with the initial boundary value problem for the double dispersion equation with nonlinear damped term and exponential growth nonlinearity in two space dimensions. We first establish the local well-posedness in the natural energy space by
Xiao Su, Hongwei Zhang
doaj   +1 more source

The Non-Linear Fokker–Planck Equation in Low-Regularity Space

open access: yesMathematics, 2022
We construct the global existence and exponential time decay rates of mild solutions to the non-linear Fokker–Planck equation near a global Maxwellians with small-amplitude initial data in the low regularity function space Lk1LT∞Lv2 where the regularity ...
Yingzhe Fan, Bo Tang
doaj   +1 more source

Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption [PDF]

open access: yes, 2016
This paper deals with the homogeneous Neumann boundary-value problem for the chemotaxis-consumption system \begin{eqnarray*} \begin{array}{llc} u_t=\Delta u-\chi\nabla\cdot (u\nabla v)+\kappa u-\mu u^2,\\ v_t=\Delta v-uv, \end{array} \end{eqnarray*} in $
J. Lankeit, Yulan Wang
semanticscholar   +1 more source

Global existence of solutions of differential inclusions

open access: bronzeJournal of Mathematical Analysis and Applications, 1992
AbstractIn this paper we consider sufficient conditions for global existence of solutions to a differential inclusion, dxdt ϵ F(t, x), assuming existence of local solutions to it by means of Lyapunov's second method. Our theorem includes as special cases S. W. Seah's theorems (1982, J. Math. Anal. Appl. 89, 648–663).
Takeshi Taniguchi
openalex   +3 more sources

Existence and blow-up of solutions for finitely degenerate semilinear parabolic equations with singular potentials

open access: yesCommunications in Analysis and Mechanics, 2023
In this article, we investigate the initial-boundary value problem for a class of finitely degenerate semilinear parabolic equations with singular potential term.
Huiyang Xu
doaj   +1 more source

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