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BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS [PDF]
Journal of Mahani Mathematical Research, 2022 This paper is concerned with the blow-up and global existence of solutions for Higher-Order Kirchhoff-Type Equations with variable exponents. Under suitable assumptions, we prove some finite time blow-up results for certain solutions with positive ...
Fortuné Dohemeto +2 more
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Axioms, 2023 The aim of this paper is to investigate the local weak existence and vacuum isolating of solutions, asymptotic behavior, and blow-up of the solutions for a wave equation involving the fractional Laplacian with nonlinear source.
Younes Bidi +6 more
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Nonlinear Analysis, 2020 In this paper, we establish the results of nonexistence and existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator. Under some suitable growth conditions for nonlinearity, the result of nonexistence of blow-up solutions ...
Xinguang Zhang +3 more
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Boundary Value Problems, 2021 Consider nonlinear wave equations in the spatially flat Friedmann–Lemaître–Robertson–Walker (FLRW) spacetimes. We show blow-up in finite time of solutions and upper bounds of the lifespan of blow-up solutions to give the FLRW spacetime version of Glassey’
Kimitoshi Tsutaya, Yuta Wakasugi
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Blow up of the Solutions of Nonlinear Wave Equation
Boundary Value Problems, 2007 We construct for every fixed the metric , where , , , , are continuous functions, , for which we consider the Cauchy problem , where , ; , , where , , , , , , and are positive constants.
Georgiev Svetlin Georgiev
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On Blow-up Solutions of A Parabolic System Coupled in Both Equations and Boundary Conditions
مجلة بغداد للعلوم, 2021 This paper is concerned with the blow-up solutions of a system of two reaction-diffusion equations coupled in both equations and boundary conditions. In order to understand how the reaction terms and the boundary terms affect the blow-up properties, the ...
Maan A. Rasheed
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Journal of Applied Mathematics, 2013 By using the integral bifurcation method, a generalized Tzitzéica-Dodd-Bullough-Mikhailov (TDBM) equation is studied. Under different parameters, we investigated different kinds of exact traveling wave solutions of this generalized TDBM equation.
Weiguo Rui
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Journal of Applied Mathematics, 2013 We study the Cauchy problem of a weakly dissipative modified two-component Camassa-Holm equation. We firstly establish the local well-posedness result. Then we present a precise blow-up scenario.
Yongsheng Mi, Chunlai Mu
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Journal of Function Spaces, 2021 This paper is concerned with the blow-up of certain solutions with positive initial energy to the following quasilinear wave equation: utt−MNutΔp·u+gut=fu. This work generalizes the blow-up result of solutions with negative initial energy.
Loay Alkhalifa +2 more
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Journal of Applied Mathematics, 2012 We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result.
Yongsheng Mi, Chunlai Mu, Weian Tao
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