PL
 |
EN
Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 21

Liczba wyników na stronie
first rewind previous Strona / 2 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  global existence
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 2 next fast forward last
1
Content available remote Global existence and blow up of solutions for a completely coupled Fujita type system of reaction-diffusion equations
100%
Rencławowicz J.
Applicationes Mathematicae
|
1998-1999
|
tom 25
|
nr 3
313-326
EN
We examine the parabolic system of three equations $u_t$ - Δu = $v^p$, $v_t$ - Δv = $w^q$, $w_t$ - Δw = $u^r$, x ∈ $ℝ^N$, t > 0 with p, q, r positive numbers, N ≥ 1, and nonnegative, bounded continuous initial values. We obtain global existence and blow up unconditionally (that is, for any initial data). We prove that if pqr ≤ 1 then any solution is global; when pqr > 1 and max(α,β,γ) ≥ N/2 (α, β, γ are defined in terms of p, q, r) then every nontrivial solution exhibits a finite blow up time.
2
Content available remote Global pointwise a priori bounds and large time behaviour for a nonlinear system describing the spread of infectious disease
100%
Kirane M.
Applicationes Mathematicae
|
1993-1995
|
tom 22
|
nr 1
1-9
EN
This paper considers a reaction-diffusion system with biatic diffusion.Existence of a globally bounded solution is proved and its large timebehaviour is given.
3
Content available Global well-posedness of a class of fourth-order strongly damped nonlinear wave equations
100%
Yanbing Y. , Ahmed M. S. , Lanlan Q. , Runzhang X.
Opuscula Mathematica
|
2019
|
tom Vol. 39, no. 2
297--313
EN
Global well-posedness and finite time blow up issues for some strongly damped nonlinear wave equation are investigated in the present paper. For subcritical initial energy by employing the concavity method we show a finite time blow up result of the solution. And for critical initial energy we present the global existence, asymptotic behavior and finite time blow up of the solution in the framework of the potential well. Further for supercritical initial energy we give a sufficient condition on the initial data such that the solution blows up in finite time.
4
Content available Existence and decay of finite energy solutions for semilinear dissipative wave equations in time-dependent domains
100%
Nakao M.
Opuscula Mathematica
|
2020
|
tom Vol. 40, no. 6
725--736
EN
We consider the initial-boundary value problem for semilinear dissipative wave equations in noncylindrical domain [formula]. We are interested in finite energy solution. We derive an exponential decay of the energy in the case Ω (t) is bounded in [formula] and the estimate [formula] in the case Ω (t) is unbounded. Existence and uniqueness of finite energy solution are also proved.
5
Content available remote Behaviour of global solutions for a system of reaction-diffusion equations from combustion theory
100%
Badraoui S.
Applicationes Mathematicae
|
1999
|
tom 26
|
nr 2
133-150
EN
We are concerned with the boundedness and large time behaviour of the solution for a system of reaction-diffusion equations modelling complex consecutive reactions on a bounded domain under homogeneous Neumann boundary conditions. Using the techniques of E. Conway, D. Hoff and J. Smoller [3] we also show that the bounded solution converges to a constant function as t → ∞. Finally, we investigate the rate of this convergence.
6
Content available remote Global solution of reaction diffusion system with non diagonal matrix
100%
Moumeni A. , Derradji L. S.
|
2012
|
tom Vol. 45, nr 1
81-93
EN
The purpose of this paper is to prove the global existence in time of solutions for the coupled reaction-diffusion system: (…) with triangular matrix of diffusion coefficients. By combining the Lyapunov functional method with the regularizing effect, we show that global solutions exist. Our investigation applied for a wide class of the nonlinear terms f and g.
7
Content available Remarks on damped Schrodinger equation of Choquard type
100%
Chergui L.
Opuscula Mathematica
|
2021
|
tom Vol. 41, no. 4
465--488
EN
This paper is devoted to the Schrodinger-Choquard equation with linear damping. Global existence and scattering are proved depending on the size of the damping coefficient.
8
Content available remote Neumann problem for one-dimensional nonlinear thermoelasticity
100%
Shibata Y.
|
|
tom 27
|
nr 2
457-480
EN
The global existence theorem of classical solutions for one-dimensional nonlinear thermoelasticity is proved for small and smooth initial data in the case of a bounded reference configuration for a homogeneous medium, considering the Neumann type boundary conditions: traction free and insulated. Moreover, the asymptotic behaviour of solutions is investigated.
9
Content available remote On nonstationary motion of a fixed mass of a general viscous compressible heat conducting capillary fluid bounded by a free boundary
100%
Zadrzyńska E.
Applicationes Mathematicae
|
1998-1999
|
tom 25
|
nr 4
489-511
EN
The motion of a fixed mass of a viscous compressible heat conducting capillary fluid is examined. Assuming that the initial data are sufficiently close to a constant state and the external force vanishes we prove the existence of a global-in-time solution which is close to the constant state for any moment of time. Moreover, we present an analogous result for the case of a barotropic viscous compressible fluid.
10
Content available remote Global existence for a class of reaction-diffusion systems
100%
Kouachi S. , Youkana A.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2001
|
tom Vol. 49, no 3
303-308
EN
The purpose of this paper is to give sufficient conditions guaranteeing global existence, uniqueness and uniform boundedness of solutions for a class of reaction-diffusion systems.
11
Content available remote On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary
100%
Zadrzyńska E. , Zajączkowski W. M.
Colloquium Mathematicum
|
1999
|
tom 79
|
nr 2
283-310
12
Content available remote On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface
91%
Zajączkowski W. M.
Instytut Matematyczny Polskiej Akademii Nauk
EN
We consider the motion of a viscous compressible barotropic fluid in $ℝ^3$ bounded by a free surface which is under constant exterior pressure. For a given initial density, initial domain and initial velocity we prove the existence of local-in-time highly regular solutions. Next assuming that the initial density is sufficiently close to a constant, the initial pressure is sufficiently close to the external pressure, the initial velocity is sufficiently small and the external force vanishes we prove the existence of global-in-time solutions which satisfy, at any moment of time, the properties prescribed at the initial moment.
XX
CONTENTS 1. Introduction.......................................5 2. Global estimates and relations........11 3. Local existence...............................16 4. Global differential inequality............44 5. Korn inequality................................81 6. Global existence.............................89 References.......................................100
13
Content available Global existence and asymptotic behavior for a nonlinear degenerate SIS model
88%
Ziane T. A.
Opuscula Mathematica
|
2013
|
tom Vol. 33, no. 4
615--630
EN
In this paper we investigate the global existence and asymptotic behavior of a reaction diffusion system with degenerate diffusion arising in the modeling and the spatial spread of an epidemic disease.
14
Content available remote Blow up, global existence and growth rate estimates in nonlinear parabolic systems
88%
Rencławowicz J.
Colloquium Mathematicum
|
2000
|
tom 86
|
nr 1
43-66
EN
We prove Fujita-type global existence and nonexistence theorems for a system of m equations (m > 1) with different diffusion coefficients, i.e. $u_{it} - d_{i} Δu_{i} = \prod_{k=1}^m u_{k}^{p_k^i}, i=1,...,m, x ∈ ℝ^{N}, t > 0,$ with nonnegative, bounded, continuous initial values and $p_{k}^{i} ≥ 0$, $i,k = 1,...,m$, $d_i > 0$, $i = 1,...,m$. For solutions which blow up at $t = T <≤ ∞$, we derive the following bounds on the blow up rate: $u_i(x,t) ≤ C(T - t)^{-α_{i}}$ with C > 0 and $α_i$ defined in terms of $p_k^i$.
15
Content available Uniform stabilization of the quasi-linear Kirchhoff wave equation with a nonlinear boundary feedback
75%
Lasiecka I.
Control and Cybernetics
|
2000
|
tom Vol. 29, no 1
179-197
EN
An n-dimensional quasi-linear wave equation defined on bounded domain Omega with Neumann boundary conditions imposed on the boundary Gamma and with a nonlinear boundary feedback acting on a portion of the boundary [Gamma sup 1 is a subset of Gamma] is considered. Global existence, uniqueness and uniform decay rates are established for the model, under the assumption that the H[sup 1](Omega) x L[sub 2](Omega) norms of the initial data are sufficiently small. The result presented in this paper extends these obtained recently in Lasiecka and Ong (1999), where the Dirichlet boundary conditions are imposed on the uncontrolled portion of the boundary Gamma[sub o] = Gamma \ [closure of a set Gamma sub 1], and the two portions of the boundary are assumed disjoint, i.e. [... ]. The goal of this paper is to remove this restriction. This is achieved by considering the "pure" Neumann problem subject to convexity assumption imposed on Gamma[sub o]. \@eng\\
16
Content available remote General decay for a nonlinear pseudo-parabolic equation with viscoelastic term
63%
Vu N. T. , Dung D. B. , Dung H. T. H.
Demonstratio Mathematica
|
2022
|
tom Vol. 55, nr 1
737--751
EN
This work is concerned with a multi-dimensional viscoelastic pseudo-parabolic equation with critical Sobolev exponent. First, with some suitable conditions, we prove that the weak solution exists globally. Next, we show that the stability of the system holds for a much larger class of kernels than the ones considered in previous literature. More precisely, we consider the kernel g:[0,∞)⟶(0,∞) satisfying g′(t)⩽−ξ(t)G(g(t)) , where ξ and G are functions satisfying some specific properties.
17
On some nonlinear hyperbolic p(x,t)-Laplacian equations
63%
Ahmedatt T. , Touzani A. , Aberqi A. , Yazough C.
Journal of Applied Analysis
|
2018
|
tom Vol. 24, nr 1
55--69
EN
This paper is devoted to study the global existence of solutions of the hyperbolic Dirichlet equation Utt=Lu+f(x,t) in ΩT=Ω×(0,T), where L is a nonlinear operator and ϕ(x,t,⋅), f(x,t) and the exponents of the nonlinearities p(x,t) and μ(x,t) are given functions.
18
Content available remote Asymptotic stability of solutions for a diffusive epidemic model
63%
Bouaziz K. , Douaifia R. , Abdelmalek S.
Demonstratio Mathematica
|
2022
|
tom Vol. 55, nr 1
553--573
EN
The aim of this paper is to study the existence and the asymptotic stability of solutions for an epidemiologically emerging reaction-diffusion model. We show that the model has two types of equilibrium points to resolve the proposed system for a fairly broad class of nonlinearity that describes the transmission of an infectious disease between individuals. The model is analyzed by using the basic reproductive number R0 . Finally, we present the numerical examples simulations that clarifies and confirms the results of the study throughout the paper.
19
Content available Strong decay for one-dimensional wave equations with nonmonotone boundary damping
51%
Pierre M. , Vancostenoble J.
Control and Cybernetics
|
2000
|
tom Vol. 29, no 2
473-484
EN
This paper is a contribution to the following question : consider the classical wave equation damped by a nonlinear feedback control which is only assumed to decrease the energy. Then, do solutions to the perturbed system still exist for all time? Does strong stability occur in the sense that the energy tends to zero as time tends to infinity? We prove here that the answer to both questions is positive in the specific case of the one-dimensional wave equation damped by boundary controls which are functions of the observed velocity. The main point is that no monotonicity assumption is made on the damping term.
20
Content available remote Existence and uniqueness of the weak solution for Keller-Segel model coupled with Boussinesq equations
51%
Slimani A. , Bouzettouta L. , Guesmia A.
|
|
tom Vol. 54, nr 1
558--575
EN
Keller-Segel chemotaxis model is described by a system of nonlinear partial differential equations: a convection diffusion equation for the cell density coupled with a reaction-diffusion equation for chemoattractant concentration. In this work, we study the phenomenon of Keller-Segel model coupled with Boussinesq equations. The main objective of this work is to study the global existence and uniqueness and boundedness of the weak solution for the problem, which is carried out by the Galerkin method.
first rewind previous Strona / 2 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.