Results 1 to 10 of about 649 (155)
On a degenerate hyperbolic problem for the 3-D steady full Euler equations with axial-symmetry
Advances in Nonlinear Analysis, 2020 The transonic channel flow problem is one of the most important problems in mathematical fluid dynamics. The structure of solutions near the sonic curve is a key part of the whole transonic flow problem. This paper constructs a local classical hyperbolic
Hu Yanbo, Li Fengyan
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Global attractor for degenerate damped hyperbolic equations
Journal of Mathematical Analysis and Applications, 2017 This paper deals with the asymptotic behavior of the solutins of the following problem: \[ \partial_{tt} u(x,t) +\beta u_t(x,t) =\mathcal{L} u(x,t) + f(u(x,t)) \quad x\in \Omega, \;t>0 \] \[ u(x,t) =0 \quad x\in \partial \Omega, \;t>0 \] and \[ u(x,0)=u_0(x), \;\;u_t(x,0) = u_1(x), \quad x\in \Omega, \] where \(\Omega\) is bounded domain in \(\mathbb{R}
Chunyou Sun
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Strong traces for degenerate parabolic-hyperbolic equations
Discrete and Continuous Dynamical Systems, 2009 In this paper we consider bounded weak solutions $u$ of degenerate parabolic-hyperbolic equations defined in a subset $]0,T[\times\Omega\subset \R^{+}\times \R^d$. We define a strong notion of trace at the boundary $]0,T[\times\partial\Omega$ reached by $L^1$ convergence for a large class of functionals of $u$ and at $0 \times \Omega$ reached by $
Young-Sam Kwon
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Bilinear Control of a Degenerate Hyperbolic Equation
SIAM Journal on Mathematical Analysis, 2023 We consider the linear degenerate wave equation, on the interval $(0, 1)$ $$ w_{tt} - (x^αw_x)_x = p(t) μ(x) w, $$ with bilinear control $p$ and Neumann boundary conditions. We study the controllability of this nonlinear control system, locally around a constant reference trajectory, the ground state. We prove that, generically with respect to $μ$, any
Piermarco Cannarsa +2 more
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Explicit solutions of Cauchy problems for degenerate hyperbolic equations with Transmutations methods [PDF]
Mathematics and Modeling in Finance, 2022 This article's primary goal is to compute an explicit transmutation-based solution to a degenerate hyperbolic equation of second order in terms of time.
Mahdieh Aminian Shahrokhabadi +1 more
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On Behavior of Solution of Degenerated Hyperbolic Equation [PDF]
ISRN Applied Mathematics, 2012 The purpose of this paper is to learn some features of hyperbolic type of nonlinear equations. It is shown that the solution of the equation approaches to the endlessness in the inside of some initial conditions and time of the special marks. The local existence of the equation’s solution has been proved and the problem of unlimited increasing on the ...
Gadjiev, Tahir +2 more
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Some identities involving Bernoulli, Euler and degenerate Bernoulli numbers and their applications
Applied Mathematics in Science and Engineering, 2023 The paper has two main objectives. Firstly, it explores the properties of hyperbolic cosine and hyperbolic sine functions by using Volkenborn and the fermionic p-adic integrals, respectively.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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On the unique solvability of a nonlocal boundary value problem with the poincaré condition [PDF]
E3S Web of Conferences, 2023 As is known, it is customary in the literature to divide degenerate equations of mixed type into equations of the first and second kind. In the case of an equation of the second kind, in contrast to the first, the degeneracy line is simultaneously the ...
Abdullaev A. A. +2 more
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Comparison of critical behaviors of elliptic and hyperbolic quadratic algebraic equations with variable coefficients [PDF]
INCAS Bulletin, 2015 A comparison of the behaviours of the elliptic with those of hyperbolic quadratic algebraic equations (QAEs) with free and linear variable coefficients, in vicinity of their critical surfaces is made.
Adriana NASTASE
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The problem with shift for a degenerate hyperbolic equation of the first kind [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 For a degenerate first-order hyperbolic equation of the second order containing a term with a lower derivative, we study two boundary value problems with an offset that generalize the well-known first and second Darboux problems. Theorems on an existence
Zhiraslan A. Balkizov
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