Gevrey Regularity and Local Well-Posedness for the HirotaSatsuma System
In this paper, we examine the local well-posedness of the initial value problem for the HirotaSatsuma system within Gevrey spaces. This system, which consists of a coupled nonlinear dispersive partial differential equation, models the interactions ...
Boudersa Feriel +2 more
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This paper concerns the isentropic compressible Navier–Stokes equations in a three-dimensional (3D) bounded domain with slip boundary conditions and vacuum.
Saiguo Xu, Yinghui Zhang
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A vanishing dynamic capillarity limit equation with discontinuous flux. [PDF]
Graf M +3 more
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Blow-up and global existence profile of a class of fully nonlinear degenerate parabolic equations
Li Jing, Yin Jingxue, Jin Chunhua
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Blow-up for an evolution
This paper investigates the blow-up properties of positive solutions to the following system of evolution p-Laplace equations with nonlocal sources and inner absorptions { u t − div ( | ∇ u | p − 2 ∇ u ) =
Liu Dengming +3 more
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Hölder inequality applied on a non-Newtonian fluid equation with a nonlinear convection term and a source term. [PDF]
Zhan H.
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Optimal time and space regularity for solutions of degenerate differential equations
Favaron Alberto
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Global existence and blow-up results for p-Laplacian parabolic problems under nonlinear boundary conditions. [PDF]
Ding J.
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Convergence analysis of domain decomposition based time integrators for degenerate parabolic equations. [PDF]
Eisenmann M, Hansen E.
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Ground states in the diffusion-dominated regime. [PDF]
Carrillo JA +3 more
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