Results 51 to 60 of about 760 (78)

Segregated solutions for nonlinear Schrödinger systems with a large number of components

Advanced Nonlinear Studies
In this paper we are concerned with the existence of segregated non-radial solutions for nonlinear Schrödinger systems with a large number of components in a weak fully attractive or repulsive regime in presence of a suitable external radial potential.
Chen Haixia, Pistoia Angela
doaj   +1 more source

Existence and non-degeneracy of the normalized spike solutions to the fractional Schrödinger equations

Advances in Nonlinear Analysis
The present study investigates the existence and non-degeneracy of normalized solutions for the following fractional Schrödinger equation: (−Δ)su+V(x)u=aup+μu,x∈RN,u∈Hs(RN){\left(-\Delta )}^{s}u+V\left(x)u=a{u}^{p}+\mu u,\hspace{1.0em}x\in {{\mathbb{R}}}^
Guo Qing, Zhang Yuhang
doaj   +1 more source

Coupled Versus Uncoupled Blow-Up Rates in Cooperative n-Species Logistic Systems

Advanced Nonlinear Studies, 2017
This paper ascertains the exact boundary blow-up rates of the large positive solutions of a class of cooperative logistic systems involving n species in a general domain of ℝN{\mathbb{R}^{N}} of class 𝒞2+ν{\mathcal{C}^{2+\nu ...
López-Gómez Julián, Maire Luis
doaj   +1 more source

Global existence vs. blowup for the one dimensional quasilinear Smoluchowski-Poisson system [PDF]

arXiv, 2010
We prove that, unlike in several space dimensions, there is no critical (nonlinear) diffusion coefficient for which solutions to the one dimensional quasilinear Smoluchowski-Poisson equation with small mass exist globally while finite time blowup could occur for solutions with large mass.
arxiv  

Blow-up of waves on singular spacetimes with generic spatial metrics. [PDF]

Lett Math Phys, 2022
Fajman D, Urban L.
europepmc   +1 more source

On Einstein, Hermitian 4-Manifolds [PDF]

arXiv, 2010
Let (M,h) be a compact 4-dimensional Einstein manifold, and suppose that h is Hermitian with respect to some complex structure J on M. Then either (M,J,h) is Kaehler-Einstein, or else, up to rescaling and isometry, it is one of the following two exceptions: the Page metric on CP2 # (-CP2), or the Einstein metric on CP2 # 2 (-CP2) constructed in Chen ...
arxiv  

The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions [PDF]

Differential and Integral Equations, vol.25(No.3-4) ( 2012), 363-382pp, 2011
In this paper we prove the blow-up theorem in the critical case for weakly coupled systems of semilinear wave equations in high dimensions. The upper bound of the lifespan of the solution is precisely clarified.
arxiv  

Blowup of Smooth Solutions to the Navier-Stokes Equations for Compressible Isothermal Fluids [PDF]

arXiv, 2011
It is shown that the one-dimensional or two-dimensional radially symmetric isothermal compressible Navier-Stokes system has no non-trivial global smooth solutions if the initial density is compactly supported. This result is a generalization of Xin's work \cite{Xin98} to the isothermal case.
arxiv  

An inhomogeneous, $L^2$ critical, nonlinear Schrödinger equation [PDF]

Z. Anal. Anwend. 31 (2012), 283-290, 2011
An inhomogeneous nonlinear Schr\"odinger equation is considered, that is invariant under $L^2$ scaling. The sharp condition for global existence of $H^1$ solutions is established, involving the $L^2$ norm of the ground state of the stationary equation.
arxiv  

The Hunter-Saxton system and the geodesics on a pseudosphere [PDF]

arXiv, 2012
We show that the two-component Hunter-Saxton system with negative coupling constant describes the geodesic flow on an infinite-dimensional pseudosphere. This approach yields explicit solution formulae for the Hunter-Saxton system. Using this geometric intuition, we conclude by constructing global weak solutions.
arxiv