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On a strongly damped semilinear wave equation with time-varying source and singular dissipation
Advances in Nonlinear Analysis, 2022 This paper deals with the global well-posedness and blow-up phenomena for a strongly damped semilinear wave equation with time-varying source and singular dissipative terms under the null Dirichlet boundary condition.
Yang Yi, Fang Zhong Bo
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Nonautonomous Dynamical Systems, 2023 The integro-differential equation of heat conduction with the time-convolution integral on the right side is considered. The direct problem is the initial-boundary problem for this integro-differential equation.
Durdiev Durdimurod Kalandarovich +1 more
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Advanced Nonlinear Studies, 2022 This article studies point concentration phenomena of nonlinear Schrödinger equations with magnetic potentials and constant electric potentials. The existing results show that a common magnetic field has no effect on the locations of point concentrations,
Wang Liping, Zhao Chunyi
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A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems
Advances in Nonlinear Analysis, 2020 In this paper we deal with the elliptic ...
López-Martínez Salvador
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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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Open Mathematics, 2023 In this article, we researched the existence of the solution to the fractional Navier-Stokes equations with the Coriolis force under initial data, which belong to the Lei-Lin-Gevrey spaces.
Sun Xiaochun, Xu Gaoting, Wu Yulian
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Finite and infinite speed of propagation for porous medium equations with fractional pressure [PDF]
, 2013 We study a porous medium equation with fractional potential pressure: $$ \partial_t u= \nabla \cdot (u^{m-1} \nabla p), \quad p=(-\Delta)^{-s}u, $$ for $m>1 ...
del Teso, Félix +2 more
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Global well-posedness of the full compressible Hall-MHD equations
Advances in Nonlinear Analysis, 2021 This paper deals with a Cauchy problem of the full compressible Hall-magnetohydrodynamic flows. We establish the existence and uniqueness of global solution, provided that the initial energy is suitably small but the initial temperature allows large ...
Tao Qiang, Zhu Canze
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Dynamic analysis of delayed vaccination process along with impact of retrial queues
Computational and Mathematical Biophysics, 2023 An unprecedented and precise time-scheduled rollout for the vaccine is needed for an effective vaccination process. This study is based on the development of a novel mathematical model considering a delay in vaccination due to the inability to book a ...
Chauhan Sudipa +3 more
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Metrics with prescribed horizontal bundle on spaces of curve
, 2015 We study metrics on the shape space of curves that induce a prescribed splitting of the tangent bundle. More specifically, we consider reparametrization invariant metrics $G$ on the space $\operatorname{Imm}(S^1,\mathbb R^2)$ of parametrized regular ...
Bauer, Martin, Harms, Philipp
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