Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Hung V. Tran"'
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 9, Pp 1-31 (2024)
Abstract The cosmological dynamics of multiple scalar/pseudoscalar fields are difficult to solve, especially when the field-space metric is curved. This presents a challenge in determining whether a given model can support cosmic acceleration, withou
Externí odkaz:
https://doaj.org/article/48049cec1f44457db533eb6b5e4cf2e6
Autor:
Hung V. Tran, Truong-Son Van
Publikováno v:
Journal of Differential Equations. 351:49-62
The critical coagulation-fragmentation equation with multiplicative coagulation and constant fragmentation kernels is known to not have global mass-conserving solutions when the initial mass is greater than $1$. We show that for any given positive in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a70f934ffaa73fcfbd933eed5c316764
https://doi.org/10.1016/j.jde.2022.12.015
https://doi.org/10.1016/j.jde.2022.12.015
Publikováno v:
Mathematische Annalen. 384:1409-1459
Here, we study the large-time limit of viscosity solutions of the Cauchy problem for second-order Hamilton–Jacobi–Bellman equations with convex Hamiltonians in the torus. This large-time limit solves the corresponding stationary problem, sometime
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ef9e6468b3570b3a78ba489346c62a8
https://doi.org/10.1007/s00208-021-02320-5
https://doi.org/10.1007/s00208-021-02320-5
Publikováno v:
Communications in Mathematical Sciences. 19:495-512
We study the large time behavior of the sublinear viscosity solution to a singular Hamilton-Jacobi equation that appears in a critical Coagulation-Fragmentation model with multiplicative coagulation and constant fragmentation kernels. Our results inc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d38d0b8b2290e324265ce862523a36e
https://doi.org/10.4310/cms.2021.v19.n2.a8
https://doi.org/10.4310/cms.2021.v19.n2.a8
Publikováno v:
SIAM Journal on Mathematical Analysis. 52:4161-4184
We study state-constraint static Hamilton-Jacobi equations in a sequence of domains $\{\Omega_k\}_{k \in \mathbb{N}}$ in $\mathbb{R}^n$ such that $\Omega_k \subset \Omega_{k+1}$ for all $k\in \mathbb{N}$. We obtain rates of convergence of $u_k$, the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57ec931c1b011adc7bfb4b222bac7a3e
https://doi.org/10.1137/19m1292035
https://doi.org/10.1137/19m1292035
We propose a new iterative scheme to compute the numerical solution to an over-determined boundary value problem for a general quasilinear elliptic PDE. The main idea is to repeatedly solve its linearization by using the quasi-reversibility method wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2aa649f9b2ab28055ad1838eb8bfb56b
http://arxiv.org/abs/2108.07914
http://arxiv.org/abs/2108.07914
Publikováno v:
Archive for Rational Mechanics and Analysis. 233:901-934
We study the rate of convergence of $${u^\varepsilon}$$ , as $${\varepsilon \to 0+}$$ , to u in periodic homogenization of Hamilton–Jacobi equations. Here, $${u^\varepsilon}$$ and u are viscosity solutions to the oscillatory Hamilton–Jacobi equat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30d66d5e397f994a5dd58f178b8eaa29
https://doi.org/10.1007/s00205-019-01371-y
https://doi.org/10.1007/s00205-019-01371-y
Publikováno v:
Geometric Flows. 4:9-29
In this paper, we study an obstacle problem associated with the mean curvature flow with constant driving force. Our first main result concerns interior and boundary regularity of the solution. We then study in details the large time behavior of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a72a336e27edc2354dcd45b997fe34a6
https://doi.org/10.1515/geofl-2019-0002
https://doi.org/10.1515/geofl-2019-0002
We propose a globally convergent numerical method, called the convexification, to numerically compute the viscosity solution to first-order Hamilton-Jacobi equations through the vanishing viscosity process where the viscosity parameter is a fixed sma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::69689e89d85d50988b1610b2bd42296a
http://arxiv.org/abs/2104.05870
http://arxiv.org/abs/2104.05870
Here, we study a level-set forced mean curvature flow with the homogeneous Neumann boundary condition. We first show that the solution is Lipschitz in time and locally Lipschitz in space. Then, under an additional condition on the forcing term, we pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad001b67232b8766946c448a47976c02