Results 21 to 30 of about 8,296,108 (395)
On the global existence and blow-up for the double dispersion equation with exponential term
Electronic Research Archive, 2023 This paper deals with the initial boundary value problem for the double dispersion equation with nonlinear damped term and exponential growth nonlinearity in two space dimensions. We first establish the local well-posedness in the natural energy space by
Xiao Su, Hongwei Zhang
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AIMS Mathematics, 2023 In this paper, we consider a coupled system of Laplacian and bi-Laplacian equations with nonlinear dampings and source terms of variable-exponents nonlinearities. This system is supplemented with initial and mixed boundary conditions. First, we establish
Salim A. Messaoudi +3 more
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Electronic Research Archive, 2023 This paper considers blow-up and global existence for a semilinear space-time fractional pseudo-parabolic equation with nonlinear memory in a bounded domain.
Yaning Li , Yuting Yang
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Global existence and stability for the modified Mullins–Sekerka and surface diffusion flow
Mathematics in Engineering, 2022 In this survey we present the state of the art about the asymptotic behavior and stability of the modified Mullins–Sekerka flow and the surface diffusion flow of smooth sets, mainly due to E. Acerbi, N. Fusco, V. Julin and M. Morini.
Serena Della Corte +2 more
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Optimal version of the Picard–Lindelöf theorem
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Consider the differential equation $y'=F(x,y)$. We determine the weakest possible upper bound on $|F(x,y)-F(x,z)|$ which guarantees that this equation has for all initial values a unique solution, which exists globally.
Jan-Christoph Schlage-Puchta
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ON THE GLOBAL EXISTENCE OF TIME [PDF]
International Journal of Modern Physics D, 2009 The global existence of time is often taken for granted but should instead be considered for investigation. Using the tools of global Lorentzian geometry the author shows that, under physically reasonable conditions, the impossibility of finding a global time implies the singularity of space–time.
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On a viscoelastic heat equation with logarithmic nonlinearity
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This work deals with the following viscoelastic heat equations with logarithmic nonlinearity \begin{align*} u_t-\Delta u+\int_{0}^{t}g(t-s)\Delta u(s)ds=\vert u\vert^{p-2}u\ln\vert u\vert.
Nguyen Van Y, Nhan Le, Le Xuan Truong
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Global Existence Analysis of Cross-Diffusion Population Systems for Multiple Species [PDF]
, 2016 The existence of global-in-time weak solutions to reaction-cross-diffusion systems for an arbitrary number of competing population species is proved. The equations can be derived from an on-lattice random-walk model with general transition rates.
Xiuqing Chen, Esther S. Daus, A. Jüngel
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On the global existence for the Muskat problem
Journal of the European Mathematical Society, 2012 The Muskat problem models the dynamics of the interface between two incompressible immiscible fluids with different constant densities. In this work we prove three results. First we prove an L^2(\mathbb R) maximum principle, in the form of a new "log'' conservation law which is ...
D. Cordoba +3 more
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The derivative NLS equation: global existence with solitons [PDF]
, 2017 We extend the global existence result for the derivative NLS equation to the case when the initial datum includes a finite number of solitons. This is achieved by an application of the B\"{a}cklund transformation that removes a finite number of zeros of ...
Yusuke Shimabukuro +2 more
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