Global solution for semilinear σ‐evolution models with memory term
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DOI: 10.1002/mma.10373
Abstract: In this paper, the initial value problem of the semilinear σ$$ \sigma $$ ‐evolution equations with a memory term is concerned. Firstly, using the energy method in the Fourier space, the decay estimates for the… read more here.
Keywords: evolution; semilinear evolution; solution semilinear; global solution ... See more keywords
Global solution to the wave and Klein-Gordon system under null condition in dimension two
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DOI: 10.1016/j.jfa.2021.109232
Abstract: We are interested in studying the coupled wave and Klein-Gordon equations with null quadratic nonlinearities in $\mathbb{R}^{2+1}$. We want to establish the small data global existence result, and in addition, we also demonstrate the pointwise… read more here.
Keywords: system; global solution; klein gordon; wave klein ... See more keywords
A perturbation approach to study the shock wave propagation in a non-ideal magnetogasdynamics under isothermal condition
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DOI: 10.1063/5.0196436
Abstract: The main goal of this paper is to obtain a global solution to the problem of imploding strong cylindrical shock waves (SWs) collapsing at the axis of symmetry in a non-ideal gas under the influence… read more here.
Keywords: solution; non ideal; global solution; shock ... See more keywords
Global solution of nonlinear stochastic heat equation with solutions in a Hilbert manifold
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DOI: 10.1142/s0219493720400122
Abstract: The objective of this paper is to prove the existence of a global solution to a certain stochastic partial differential equation subject to the L2-norm being constrained. The corresponding evolutio... read more here.
Keywords: nonlinear stochastic; global solution; solution nonlinear; solution ... See more keywords
Remarks on Radial Solutions of a Parabolic Gelfand-Type Equation
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DOI: 10.3390/axioms11090429
Abstract: We consider an equation with exponential nonlinearity under the Dirichlet boundary condition. For a one- or two-dimensional domain, a global solution has been obtained. In this paper, to extend the result to a higher dimensional… read more here.
Keywords: remarks radial; equation; radial solutions; solutions parabolic ... See more keywords