Results 11 to 20 of about 191 (49)
, 2009 We consider initial-boundary value problems for the reaction-diffusion systems with inhomogeneous terms in cones. In this paper we show the nonexistence of global solutions of the problems in time.
Takefumi Igarashi, Noriaki Umeda
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Open Mathematics, 2018 In this paper we investigate the stochastic retarded reaction-diffusion equations with multiplicative white noise on unbounded domain ℝn (n ≥ 2). We first transform the retarded reaction-diffusion equations into the deterministic reaction-diffusion ...
Jia Xiaoyao, Ding Xiaoquan, Gao Juanjuan
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Global existence for coupled reaction-diffusion equations with a balance law and nonlinearities with non-constant sign [PDF]
arXiv, 2022 This paper aims to prove the global existence of solutions for coupled reaction diffusion equations with a balance Law and nonlinearities with a non constant sign. The case when one (or both) of the components of the solution is not a priori bounded is treated. Proofs are based on developed Lyapunov techniques.
arxiv
Phragmén-Lindelöf type alternative results for the stokes flow equation
, 2006 In this paper,we derive estimates for weighted energy expression for the solution of the Stokes flow equation in a semi-infinite plane channel by means of a second order differential inequality.From the estimates ,we establish Phragmen-Lindelof ...
Yan Liu, Changhao Lin
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Global Existence of solutions for systems of coupled reaction diffusion equations with nonlinearities of unlimited growth [PDF]
arXiv, 2023 In this work we prove global existence and uniform boundedness of solutions of 2X2 reaction-diffusion systems with control of mass structure and nonlinearities of unlimited growth. Furthermore the results are obtained without restrictions on diffusion terms neither on the initial data. Such systems possess many applications in physical-chemistry.
arxiv
Quasi-local mass functionals and generalized inverse mean curvature flow
, 2008 LetM be an asymptotically flat 3-manifold with nonnegative scalar curvature. In [4] Hubert Bray defines a family of quasi-local mass functionals which are monotone for surfaces smoothly satisfying a certain generalization of inverse mean curvature flow ...
J. Streets
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Bi-spaces global attractors in abstract parabolic equations
, 2003 An abstract semilinear parabolic equation in a Banach space X is considered. Under general assumptions on nonlinearity this problem is shown to generate a bounded dissipative semigroup on X.
J. Cholewa, Tomasz Dłotko
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A maximum principle for semilinear parabolic systems
, 1979 We develop a criterion insuring that every component of the solution to a system of semilinear parabolic equations is strictly positive for positive time. This criterion involves the strict (component-wise) positiveness of solutions to a related ordinary
Robert H. Martin
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On the solvability of degenerate stochastic partial differential equations in Sobolev spaces [PDF]
Stochastic Partial Differential Equations: Analysis and
Computations 2015, Vol. 3, No. 1, 52-83, 2014 Systems of parabolic, possibly degenerate parabolic SPDEs are considered. Existence and uniqueness are established in Sobolev spaces. Similar results are obtained for a class of equations generalizing the deterministic first order symmetric hyperbolic systems.
arxiv +1 more source
Advances in Nonlinear AnalysisIn this article, we consider the global and local well-posedness of the mild solutions to the Cauchy problem of fractional drift diffusion system with higher-order nonlinearity. The main difficulty comes from the higher-order nonlinearity. Instead of the
Gu Caihong, Tang Yanbin
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