Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Tasković, Maja"'
Inspired by ideas stemming from the analysis of the Boltzmann equation, in this paper we expand well-posedness theory of the spatially inhomogeneous 4-wave kinetic equation, and also analyze an infinite hierarchy of PDE associated with this nonlinear
Externí odkaz:
http://arxiv.org/abs/2405.03984
In this paper we establish the global in time existence and uniqueness of solutions to the Boltzmann hierarchy, a hierarchy of equations instrumental for the rigorous derivation of the Boltzmann equation from many particles. Inspired by available $L^
Externí odkaz:
http://arxiv.org/abs/2402.00765
In this paper, we show generation and propagation of polynomial and exponential moments, as well as global well-posedness of the homogeneous binary-ternary Boltzmann equation. We also show that the co-existence of binary and ternary collisions yields
Externí odkaz:
http://arxiv.org/abs/2210.09600
Publikováno v:
Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire 39 (2022), no. 2, pp. 327-369
In this paper we show global well-posedness near vacuum for the binary-ternary Boltzmann equation. The binary-ternary Boltzmann equation provides a correction term to the classical Boltzmann equation, taking into account both binary and ternary inter
Externí odkaz:
http://arxiv.org/abs/1910.14476
Autor:
Strain, Robert M., Tasković, Maja
Publikováno v:
Journal of Functional Analysis (2019)
In this paper we study the Cauchy problem for the spatially homogeneous relativistic Landau equation with Coulomb interactions. Despite it's physical importance, this equation has not received a lot of mathematical attention we think due to the extre
Externí odkaz:
http://arxiv.org/abs/1806.08720
We present in this document the Lebesgue and Sobolev propagation of exponential tails for solutions of the homogeneous Boltzmann equation for hard and Maxwell interactions. In addition, we show the $L^{p}$-integrability creation of such tails in the
Externí odkaz:
http://arxiv.org/abs/1711.06596
Autor:
Pavić-Čolić, Milana, Tasković, Maja
We study the spatially homogeneous Boltzmann equation for Maxwell molecules, and its $1$-dimensional model, the Kac equation. We prove propagation in time of stretched exponential moments of their weak solutions, both for the angular cutoff and the a
Externí odkaz:
http://arxiv.org/abs/1704.03400
In this paper we prove propagation in time of weighted $L^\infty$ bounds for solutions to the non-cutoff homogeneous Boltzmann equation that satisfy propagation in time of weighted $L^1$ bounds. To emphasize that the propagation in time of weighted $
Externí odkaz:
http://arxiv.org/abs/1703.06448
Autor:
Hong, Younghun, Tasković, Maja
In this article, we provide a simple method for constructing dispersive blow-up solutions to the nonlinear Schr\"odinger equation. Our construction mainly follows the approach in Bona, Ponce, Saut and Sparber [2]. However, we make use of the dispersi
Externí odkaz:
http://arxiv.org/abs/1601.05371
We establish the $L^1$ weighted propagation properties for solutions of the Boltzmann equation with hard potentials and non-integrable angular components in the collision kernel. Our method identifies null forms by angular averaging and deploys momen
Externí odkaz:
http://arxiv.org/abs/1512.06769