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Global existence and blow up of solutions for pseudo-parabolic equation with singular potential
Journal of Differential Equations, 2020We consider the initial boundary value problem of pseudo-parabolic equation with singular potential. We obtain global existence, asymptotic behavior and blowup of solutions with initial energy J ( u 0 ) ≤ d .
W. Lian, Juan Wang, Runzhang Xu
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A logarithmic chemotaxis model featuring global existence and aggregation
, 2019The global existence of a chemotaxis model for cell aggregation phenomenon is obtained. The model system belongs to the class of logarithmic models and takes a Fokker–Planck type diffusion for the equation of cell density.
L. Desvillettes +3 more
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Global Existence and Stability of Nearly Aligned Flocks
Journal of Dynamics and Differential Equations, 2018We study regularity of a hydrodynamic singular model of collective behavior introduced in Shvydkoy and Tadmor (Trans Math Appl 1(1):tnx001, 2017). In this note we address the question of global well-posedness in multi-dimensional settings.
R. Shvydkoy
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Nonlinear Analysis, 2016
In this paper we consider the semi-linear wave equation with logarithmic nonlinearity. By modifying and using potential well combined with Sobolev inequality, we gain the results of global existence and blow up at infinity of solution at all initial ...
W. Lian, Md Salik Ahmed, Runzhang Xu
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In this paper we consider the semi-linear wave equation with logarithmic nonlinearity. By modifying and using potential well combined with Sobolev inequality, we gain the results of global existence and blow up at infinity of solution at all initial ...
W. Lian, Md Salik Ahmed, Runzhang Xu
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Canadian Mathematical Bulletin, 1966
The Cauchy-Peano existence theorem (1) does not allow us to decide from the form of a given system of equations whether or not its solution can be continued for the infinite interval -∞ < t < ∞. Several sufficient conditions for such a continuation were given by A. Wintner in (2). The main result of his paper is the following theorem which is not
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The Cauchy-Peano existence theorem (1) does not allow us to decide from the form of a given system of equations whether or not its solution can be continued for the infinite interval -∞ < t < ∞. Several sufficient conditions for such a continuation were given by A. Wintner in (2). The main result of his paper is the following theorem which is not
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2014
A frequent claim from political pundits, activists, and domestic politicians is that global institutions suffer a “democratic deficit.” One might imagine that such a claim would be based on a comparative democratic surplus or at least a right democratic balance of state-based institutions.
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A frequent claim from political pundits, activists, and domestic politicians is that global institutions suffer a “democratic deficit.” One might imagine that such a claim would be based on a comparative democratic surplus or at least a right democratic balance of state-based institutions.
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Global Existence of Finite Energy Weak Solutions of Quantum Navier–Stokes Equations
, 2016In this paper we consider the Quantum Navier–Stokes system both in two and in three space dimensions and prove the global existence of finite energy weak solutions for large initial data.
P. Antonelli, Stefano Spirito
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Annals of Mathematics, 2015
We prove global existence of appropriate weak solutions for the compressible Navier--Stokes equations for more general stress tensor than those covered by P.-L. Lions and E. Feireisl's theory.
D. Bresch, P. Jabin
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We prove global existence of appropriate weak solutions for the compressible Navier--Stokes equations for more general stress tensor than those covered by P.-L. Lions and E. Feireisl's theory.
D. Bresch, P. Jabin
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Global existence without uniqueness
Annali di Matematica Pura ed Applicata, 1970In this paper we investigate the extendability of solutions of ordinary differential equations on [to, ∞) with the use of Liapunov functions. The results extend to non-unique systems the work done by Conti and Strauss, as well as establishing an equivalence between two properties of a Liapunov function.
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Global Existence for Elastic Waves with Memory
Archive for Rational Mechanics and Analysis, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GEORGIEV V. +2 more
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