Results 71 to 80 of about 2,437,712 (232)

Results from a Nonlinear Wave Equation with Acoustic and Fractional Boundary Conditions Coupling by Logarithmic Source and Delay Terms: Global Existence and Asymptotic Behavior of Solutions

Mathematics
The nonlinear wave equation with acoustic and fractional boundary conditions, coupled with logarithmic source and delay terms, is significant for its ability to model complex systems, its contribution to the advancement of mathematical theory, and its ...
Abdelbaki Choucha, Salah Boulaaras, Ali Allahem, Asma Alharbi, Rashid Jan   +4 more
doaj   +1 more source

Global existence for semilinear parabolic systems.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1985
This paper studies the problem of global existence for strongly coupled semilinear parabolic systems of arbitrary even order under linear time- dependent boundary conditions. In particular it is shown that there exist classical global solutions provided the nonlinearity satisfies appropriate polynomial growth restrictions and a priori estimates in some
openaire   +2 more sources

Nonlinear heat equation with viscoelastic term: Global existence and blowup in finite time

Demonstratio Mathematica
In this study, we investigate a nonlinear heat equation incorporating both a viscoelastic term and a reaction-diffusion term that depends on space-time variables.
Vu Ngo Tran, Dung Dao Bao
doaj   +1 more source

Global existence and long-time behavior of entropy weak solutions to a quasilinear hyperbolic blood flow model

Networks and Heterogeneous Media, 2011
This paper is concerned with an initial-boundary value problem on bounded domains for a onedimensional quasilinear hyperbolic model of blood flow with viscous damping.It is shown that $L^\infty$ entropy weak solutions exist globally in timewhen the ...
Tong Li, Kun Zhao
doaj   +1 more source

Global existence for Maxwell–Bloch systems

Journal of Differential Equations, 2005
The author proves an existence and uniqueness result for the energy solution of the Maxwell-Bloch system with arbitrary initial vector in \(L^2(\mathbb R^3)\times L^2(\mathbb R^3)\times (L^2\cap L^\infty)(\mathbb R^3)\) verifying the conservation of current and charge.
openaire   +2 more sources

Almost Global Existence for Kirchhoff Equations Around Global Solutions

SIAM Journal on Mathematical Analysis
26 ...
Ghisi, Marina, Gobbino, Massimo
openaire   +4 more sources

Global Existence and Fixed-Time Synchronization of a Hyperchaotic Financial System Governed by Semi-Linear Parabolic Partial Differential Equations Equipped with the Homogeneous Neumann Boundary Condition. [PDF]

Entropy (Basel), 2023
Wang C, Zhao X, Zhang Y, Lv Z.
europepmc   +1 more source

Future global existence and stability of de Sitter-like solutions to the Einstein-Yang-Mills equations in spacetime dimensions $n\geq 4$ [PDF]

, 2022
Chao Liu, Todd A. Oliynyk, Jinhua Wang
openalex   +1 more source

Global existence of near-affine solutions to the compressible Euler equations

, 2019
We establish global existence of solutions to the compressible Euler equations, in the case that a finite volume of ideal gas expands into vacuum. Vacuum states can occur with either smooth or singular sound speed, the latter corresponding to the so ...
Shkoller, Steve, Sideris, Thomas C.
core  

Second order p-evolution equations with critical nonlinearity

Bruno Pini Mathematical Analysis Seminar
In this paper, we study critical nonlinearities for global small data solutions to the plate equation and other second order p-evolution equations, possibly under the action of a noneffective dissipative term.
Marcello D'Abbicco, Giovanni Girardi
doaj   +1 more source