Results 81 to 90 of about 6,469 (186)

Anisotropic 𝑝-Laplacian Evolution of Fast Diffusion Type

Advanced Nonlinear Studies, 2021
We study an anisotropic, possibly non-homogeneous version of the evolution 𝑝-Laplacian equation when fast diffusion holds in all directions. We develop the basic theory and prove symmetrization results from which we derive sharp L1L^{1}-L∞L^{\infty ...
Feo Filomena, Vázquez Juan Luis, Volzone Bruno   +2 more
doaj   +1 more source

Existence of global solutions to a quasilinear wave equation with general nonlinear damping

Electronic Journal of Differential Equations, 2002
In this paper we prove the existence of a global solution and study its decay for the solutions to a quasilinear wave equation with a general nonlinear dissipative term by constructing a stable set in $H^{2}cap H_{0}^{1}$.
Mohammed Aassila, Abbes Benaissa
doaj  

Equivalence Relation between Initial Values and Solutions for Evolution $p$-Laplacian Equation in Unbounded Space

, 2020
In this paper, an equivalence relation between the ω-limit set of initial values and the ω-limit set of solutions is established for the Cauchy problem of evolution p-Laplacian equation in the unbounded space Yσ(R). To overcome the difficulties caused by
Liangwei Wang
semanticscholar   +1 more source

Global attractor of the extended Fisher-Kolmogorov equation in H^k spaces

Boundary Value Problems, 2011
The long-time behavior of solution to extended Fisher-Kolmogorov equation is considered in this article. Using an iteration procedure, regularity estimates for the linear semigroups and a classical existence theorem of global attractor, we prove that the
Luo Hong
doaj  

Stability result of the Lamé system with a delay term in the internal fractional feedback

Acta Universitatis Sapientiae: Mathematica, 2021
In this article, we consider a Lamé system with a delay term in the internal fractional feedback. We show the existence and uniqueness of solutions by means of the semigroup theory under a certain condition between the weight of the delay term in the ...
Benaissa Abbes, Gaouar Soumia
doaj   +1 more source

Drifting Solutions with Elliptic Symmetry for the Compressible Navier-Stokes Equations with Density-dependent Viscosity

, 2014
In this paper, we investigate the analytical solutions of the compressible Navier-Stokes equations with dependent-density viscosity. By using the characteristic method, we successfully obtain a class of drifting solutions with elliptic symmetry for the ...
An, Hongli, Yuen, Manwai
core   +1 more source

Constructing universal pattern formation processes governed by reaction-diffusion systems

Electronic Journal of Differential Equations, 2002
For a given connected compact subset $K$ in $mathbb{R}^n$ we construct a smooth map $F$ on $mathbb{R}^{1+n}$ in such a way that the corresponding reaction-diffusion system $u_t=DDelta u+F(u)$ of $n+1$ components $u=(u_0,u_1,dots ,u_n)$, accompanying with
Sen-Zhong Huang
doaj  

Quasilinear problems with nonlinear boundary conditions in higher-dimensional thin domains with corrugated boundaries

Advanced Nonlinear Studies, 2023
In this work, we analyze the asymptotic behavior of a class of quasilinear elliptic equations defined in oscillating (N+1)\left(N+1)-dimensional thin domains (i.e., a family of bounded open sets from RN+1{{\mathbb{R}}}^{N+1}, with corrugated bounder ...
Nakasato Jean Carlos, Pereira Marcone Corrêa   +1 more
doaj   +1 more source

Front blocking in the presence of gradient drift [PDF]

arXiv, 2018
In this paper we derive quantitative conditions under which a compactly supported drift term blocks the propagation of a traveling wave in a straight cylinder in dimension $n \geq 3$ under the condition that the drift has a potential.
arxiv  

Global asymptotics toward the rarefaction wave for solutions of viscous p -system with boundary effect

, 2000
The initial-boundary value problem on the half-line R+ = (0, oo) for a system of barotropic viscous flow vt — ux = 0, ut + p(v)x = n{y^)x is investigated, where the pressure p(v) = v~y (7 > 1) for the specific volume v > 0.
A. Matsumura, K. Nishihara
semanticscholar   +1 more source