Orbital Stability of Solitary Waves to Fourth Order Dispersive Equations with Quadratic Nonlinearity [PDF]
[Kolkovska N.; Кольковска Н.]; [Dimova M.; Димова М.]; [Kutev N.; Kutev Nikolai; Кутев Николай]2010 Mathematics Subject Classification: 35B44 ...
Dimova, M., Kutev, N., Kolkovska, N.
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Long time decay of incompressible convective Brinkman-Forchheimer in L2(ℝ3)
In this article, we study the global existence, uniqueness, and continuity for the solution of incompressible convective Brinkman-Forchheimer on the whole space R3{{\mathbb{R}}}^{3} when 4μβ≥14\mu \beta \ge 1.
Jlali Lotfi, Benameur Jamel
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Necessary and Sufficient Condition for Finite Time Blow up of the Solutions to Sixth Order Double Dispersive Equations [PDF]
[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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Complex-plane singularity dynamics for blow up in a nonlinear heat equation: analysis and computation [PDF]
Blow-up solutions to a heat equation with spatial periodicity and a quadratic nonlinearity are studied through asymptotic analyses and a variety of numerical methods.
Fasondini, M. +2 more
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Nodal Blow-Up Solutions to Slightly Subcritical Elliptic Problems with Hardy-Critical Term
The paper is concerned with the slightly subcritical elliptic problem with Hardy-critical ...
Bartsch Thomas, Guo Qianqiao
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Application of the Improved Concavity Method to Sixth Order Boussinesq Equations with Arbitrary High Initial Energy [PDF]
[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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This article is concerned with the singularity formation of smooth solutions for a nonhomogeneous hyperbolic system arising in magnetohydrodynamics. The system owns four linearly degenerate characteristic fields that influence each other in the relations
Hu Yanbo, Zeng Ying
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Solitary waves of the degenerate rotation-two-component Camassa–Holm system
Considered herein are the classification of solitary wave solutions of the degenerate rotation-two-component Camassa–Holm system. Depending on the values of the rotating parameter Ω ${\Omega}$ and the balance index σ $\sigma $ , we classify various ...
Moon Byungsoo
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Blow-up of solutions for Euler-Bernoulli equation with nonlinear time delay
We study the Euler-Bernoulli equations with time delay: utt+Δ2u−g1∗Δ2u+g2∗Δu+μ1ut(x,t)∣ut(x,t)∣m−2+μ2ut(x,t−τ)∣ut(x,t−τ)∣m−2=f(u),{u}_{tt}+{\Delta }^{2}u-{g}_{1}\ast {\Delta }^{2}u+{g}_{2}\ast \Delta u+{\mu }_{1}{u}_{t}\left(x,t){| {u}_{t}\left(x,t ...
Lin Rongrui, Gao Yunlong, She Lianbing
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Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case
Our purpose of this paper is to study positive solutions of Lane-Emden ...
Ma Yong, Wang Ying, Ledesma César T.
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