Zobrazeno 1 - 10
of 128
pro vyhledávání: '"Velázquez, J. J. L."'
In this paper we introduce a formalism that allows to describe the response of a part of a biochemical system in terms of renewal equations. In particular, we examine under which conditions the interactions between the different parts of a chemical s
Externí odkaz:
http://arxiv.org/abs/2309.02021
Publikováno v:
J. Stat. Phys. 163, 1350-1393 (2016)
We construct a family of self-similar solutions with fat tails to a quadratic kinetic equation. This equation describes the long time behaviour of weak solutions with finite mass to the weak turbulence equation associated to the nonlinear Schr\"oding
Externí odkaz:
http://arxiv.org/abs/1511.01292
Autor:
Bandyopadhyay, J., Velazquez, J. J. L.
In this paper we study the behavior of a class of mild solutions of the homogeneous and isotropic bosonic Boltzmann-Nordheim equation near the blow-up. We obtain some estimates on the blow-up rate of the solutions and prove that, as long as a solutio
Externí odkaz:
http://arxiv.org/abs/1411.5460
Publikováno v:
Quarterly of Applied Mathematics; Jun2024, Vol. 82 Issue 2, p339-357, 19p
Publikováno v:
J. Stat. Phys. 159, 668-712 (2015)
We study the mathematical properties of a kinetic equation which describes the long time behaviour of solutions to the weak turbulence equation associated to the cubic nonlinear Schr\"odinger equation. In particular, we give a precise definition of w
Externí odkaz:
http://arxiv.org/abs/1410.2073
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Autor:
Niethammer, B., Velázquez, J. J. L.
We consider self-similar solutions to Smoluchowski's coagulation equation for kernels $K=K(x,y)$ that are homogeneous of degree zero and close to constant in the sense that \[ -\eps \leq K(x,y)-2 \leq \eps \Big(\Big(\frac{x}{y}\Big)^{\alpha} + \Big(\
Externí odkaz:
http://arxiv.org/abs/1309.4621
We consider a third order non-autonomous ODE that arises as a model of fluid accumulation in a two dimensional thin-film flow driven by surface tension and gravity. With the appropriate matching conditions, the equation describes the inner structure
Externí odkaz:
http://arxiv.org/abs/1301.0727
Autor:
Escobedo, M., Velázquez, J. J. L.
In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons, with bounded initial, data blow up in finite time in the $L^\infty$ norm if the values of the energy and particle density are in the range
Externí odkaz:
http://arxiv.org/abs/1210.1664
Autor:
Escobedo, M. l, Velázquez, J. J. L.
The homogeneous bosonic Nordheim equation is a kinetic equation describing the dynamics of the distribution of particles in the space of moments for a homogeneous, weakly interacting, quantum gas of bosons. We show the existence of classical solution
Externí odkaz:
http://arxiv.org/abs/1206.5410