Zobrazeno 1 - 10
of 523
pro vyhledávání: '"initial energy"'
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100984- (2024)
This work examines a system of wave equations that feature frictional damping and nonlinear sources. The two equations are affected by constant delay. By demonstrating that there exist solutions with negative initial energy that blow up in a finite a
Externí odkaz:
https://doaj.org/article/854c05c7fc2d4639b55a96b4dfb69ebe
Autor:
Huashui Zhan
Publikováno v:
Boundary Value Problems, Vol 2023, Iss 1, Pp 1-19 (2023)
Abstract This paper is devoted to the study of anisotropic parabolic equation related to the p i $p_{i}$ -Laplacian with a source term f ( u ) $f(u)$ . If f ( u ) = 0 $f(u)=0$ , then the fundamental solution of the equation is constructed. If there a
Externí odkaz:
https://doaj.org/article/a978e1c1e3f2496f83aff922c2553bbb
Continuous dependence on initial data and high energy blowup time estimate for porous elastic system
Publikováno v:
Communications in Analysis and Mechanics, Vol 15, Iss 2, Pp 214-244 (2023)
In this paper, we establish two conclusions about the continuous dependence on the initial data of the global solution to the initial boundary value problem of a porous elastic system for the linear damping case and the nonlinear damping case, respec
Externí odkaz:
https://doaj.org/article/9fbdeef550b34b03b834e31e7b9078a8
Autor:
Yulong Liu
Publikováno v:
Mathematics, Vol 12, Iss 9, p 1317 (2024)
In this study, we examine the wave equation with a nontrivial boundary condition. The main target of this study is to prove the local-in-time existence and the blow-up in finite time of the energy solution. Through the construction of an auxiliary fu
Externí odkaz:
https://doaj.org/article/ae04de8856c54d6187253473b39c70e1
Publikováno v:
AIMS Mathematics, Vol 8, Iss 1, Pp 285-294 (2023)
An initial value problem is considered for the nonlinear dissipative wave equation containing the p(x)-bi-Laplacian operator. For this problem, sufficient conditions for the blow-up with nonpositive initial energy of a generalized solution are obtain
Externí odkaz:
https://doaj.org/article/218ec3bfa77243f8951ac6b147d0cfa9
Publikováno v:
Electronic Journal of Differential Equations, Vol 2022, Iss 70,, Pp 1-13 (2022)
Externí odkaz:
https://doaj.org/article/52a94d294f2d4390adaf6709eb9f9fb3
Akademický článek
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Akademický článek
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Publikováno v:
St. Petersburg Polytechnical University Journal: Physics and Mathematics, Vol 16, Iss 2 (2023)
This paper continues studies in machine learning models capabilities aimed to finding the best way to predict the values of unobservable quantities that characterize centrality, based on experimental data for observable quantities: the number of char
Externí odkaz:
https://doaj.org/article/8c40020329b34a63bad9f2a4fa19edbc
Publikováno v:
Boundary Value Problems, Vol 2022, Iss 1, Pp 1-17 (2022)
Abstract In this paper, we investigate the three-dimensional Cauchy problem of the compressible quantum magnetohydrodynamic model. It is proved that the system admits a unique global solution, provided that the initial energy is suitably small. Furth
Externí odkaz:
https://doaj.org/article/c1d0b99f88e3409e9181400f6a738805