Finite time blow-up for quasilinear wave equations with nonlinear dissipation [PDF]
, 2022 In this paper we consider a class of quasilinear wave equations utt − ∆αu − ω1∆ut − ω2∆βut + µ|ut|m−2ut = |u|p−2u, associated with initial and Dirichlet boundary conditions.
KERKER , Mohamed Amine
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Bounds for blow-up time in a semilinear parabolic problem with variable exponents [PDF]
, 2022 This report deals with a blow-up of the solutions to a class of semilinear parabolic equations with variable exponents nonlinearities. Under some appropriate assumptions on the given data, a more general lower bound for a blow-up time is obtained if the ...
ABITA, Rahmoune +1 more
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Global nonexistence and blow-up results for a quasi-linear evolution equation with variable-exponent nonlinearities [PDF]
, 2021 In this paper, we consider a class of quasi-linear parabolic equations with variable exponents, a (x, t) ut − ∆m(.)u = fp(.) (u) in which fp(.) (u) the source term, a(x, t) > 0 is a nonnegative function, and the exponents of nonlinearity m(x), p(x ...
RAHMOUNE, Abita +1 more
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A class of diffusion problem of Kirchhoff type with viscoelastic term involving the fractional Laplacian [PDF]
, 2020 This work is concerned with a class of diffusion problem of Kirchhoff type with viscoelastic term and nonlinear interior source in the setting of the fractional Laplacian.
LAPA, Eugenio Cabanillas +3 more
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Blow-up solutions with minimal mass for nonlinear Schrödinger equation with variable potential
Advances in Nonlinear Analysis, 2021 This paper studies the mass-critical variable coefficient nonlinear Schrödinger equation. We first get the existence of the ground state by solving a minimization problem.
Pan Jingjing, Zhang Jian
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Advances in Nonlinear Analysis, 2021 We consider a degenerate chemotaxis model with two-species and two-stimuli in dimension d ≥ 3 and find two critical curves intersecting at one point which separate the global existence and blow up of weak solutions to the problem.
Carrillo Antonio José, Lin Ke
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Orbital Stability of Solitary Waves to Fourth Order Dispersive Equations with Quadratic Nonlinearity [PDF]
, 2019 2010 Mathematics Subject Classification: 35B44 ...
Dimova, M., Kutev, N., Kolkovska, N.
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Necessary and Sufficient Condition for Finite Time Blow up of the Solutions to Sixth Order Double Dispersive Equations [PDF]
, 2018 [Kutev N.; Kutev Nikolai; Кутев Николай]; [Kolkovska N.; Кольковска Н.]; [Dimova M.; Димова М.]The nonlinear double dispersive equation of sixth order with linear restoring force is investigated. Necessary and sufficient condition for finite time blow up
Dimova, M., Kutev, N., Kolkovska, N.
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Application of the Improved Concavity Method to Sixth Order Boussinesq Equations with Arbitrary High Initial Energy [PDF]
, 2015 [Kutev N.; Kutev Nikolai; Кутев Николай]; [Dimova M.; Димова М.]; [Kolkovska N.; Кольковска Н.]Finite time blow up of the solutions to sixth order Boussinesq equation with arbitrary positive initial energy is proved. An improved variant of the concavity
Dimova, M., Kutev, N., Kolkovska, N.
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Blow-up for logarithmic viscoelastic equations with delay and acoustic boundary conditions
Advances in Nonlinear Analysis, 2023 In the present work, we establish a blow-up criterion for viscoelastic wave equations with nonlinear damping, logarithmic source, delay in the velocity, and acoustic boundary conditions.
Park Sun-Hye
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