Nonexistence of global solutions of abstract wave equations with high energies. [PDF]
Esquivel-Avila JA.
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Slowly Expanding Stable Dust Spacetimes. [PDF]
Fajman D, Ofner M, Wyatt Z.
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Stable spike clusters for the precursor Gierer-Meinhardt system in R 2. [PDF]
Wei J, Winter M, Yang W.
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Convective stability of the critical waves of an FKPP-type model for self-organized growth. [PDF]
Kreten F.
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Morphological Stability for in silico Models of Avascular Tumors. [PDF]
Blom E, Engblom S.
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Spectral stability of periodic waves in the generalized reduced Ostrovsky equation. [PDF]
Geyer A, Pelinovsky DE.
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Existence of and decay to equilibrium of the filament end density along the leading edge of the lamellipodium. [PDF]
Manhart A, Schmeiser C.
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Global Weak Rigidity of the Gauss-Codazzi-Ricci Equations and Isometric Immersions of Riemannian Manifolds with Lower Regularity. [PDF]
Chen GG, Li S.
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Travelling Waves in a PDE-ODE Coupled Model of Cellulolytic Biofilms with Nonlinear Diffusion. [PDF]
Mitra K+4 more
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Boundedness of a two-species chemotaxis system with Lotka-Volterra type competition and two signals
International Journal of Mathematical Analysis, 2021In this paper, we consider the following full parabolic two-species chemotaxis system with Lotka-Volterra type competition and two signals ∂tu1 = ∆u1 −∇ · (χ11(υ1)u1∇υ1)−∇ · (χ12(υ2)u1∇υ2) + μ1u1(1− u1 − a1u2), x ∈ Ω, t > 0, ∂tu2 = ∆u2 −∇ · (χ21 ...
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