Results 31 to 40 of about 7,959,436 (371)
On a viscoelastic heat equation with logarithmic nonlinearity
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
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Global Existence of Near-Affine Solutions to the Compressible Euler Equations [PDF]
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
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
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Global Existence Results and Uniqueness for Dislocation Equations [PDF]
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
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Global existence and boundedness for quasi-variational systems
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
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On the global existence and blow-up for the double dispersion equation with exponential term
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
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The Non-Linear Fokker–Planck Equation in Low-Regularity Space
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
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Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption [PDF]
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
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Global existence of solutions of differential inclusions
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
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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
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