Global existence and stability of the wave equation with boundary variable damping
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DOI: 10.1002/mana.202300003
Abstract: In this paper, we present the result of global existence of solution for the wave equation with boundary variable damping term. Then, we prove that this global solution is stable. Our study is based on… read more here.
Keywords: variable damping; wave equation; global existence; equation boundary ... See more keywords
Global existence and blowup of solutions for nonlinear Love equation
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DOI: 10.1002/mma.10179
Abstract: In this paper, we are concerned with the nonlinear Love equation, which describes some sort of “propagation process” in physics. Firstly, we establish the local existence and uniqueness of the solution by using the contraction… read more here.
Keywords: global existence; love equation; solution; nonlinear love ... See more keywords
Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition
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DOI: 10.1002/mma.6286
Abstract: We prove the global existence and blow‐up of solutions of an initial boundary value problem for nonlinear nonlocal parabolic equation with nonlinear nonlocal boundary condition. Obtained results depend on the behavior of variable coefficients for… read more here.
Keywords: boundary value; global existence; nonlocal parabolic; solutions initial ... See more keywords
Coupled System of Nonlinear Hyperbolic Equations with Variable-Exponents: Global Existence and Stability
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DOI: 10.1007/s00009-020-01589-1
Abstract: In this paper, we consider a coupled system of two nonlinear hyperbolic equations with variable-exponents in the damping and source terms. Under suitable assumptions on the intial data and the variable exponents, we prove a… read more here.
Keywords: variable exponents; equations variable; hyperbolic equations; global existence ... See more keywords
Global Existence of Near-Affine Solutions to the Compressible Euler Equations
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DOI: 10.1007/s00205-019-01387-4
Abstract: We establish the global existence of solutions to the compressible Euler equations, in the case that a finite volume of ideal gas expands into a vacuum. Vacuum states can occur with either smooth or singular… read more here.
Keywords: global existence; compressible euler; existence; solutions compressible ... See more keywords
Global Existence and Blow-up in Finite Time for a Class of Finitely Degenerate Semilinear Pseudo-parabolic Equations
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DOI: 10.1007/s10114-019-8037-x
Abstract: In this paper, we study the initial-boundary value problem for the semilinear pseudo-parabolic equations ut − ΔXut − ΔXu = |u|p−1u, where X = (X1,X2,…,Xm) is a system of real smooth vector fields which satisfy… read more here.
Keywords: time; finitely degenerate; pseudo parabolic; parabolic equations ... See more keywords
Global Existence of a Weak Solution for a Model in Radiation Magnetohydrodynamics
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DOI: 10.1007/s10440-016-0093-y
Abstract: We consider a simplified model based on the Navier-Stokes-Fourier system coupled to a transport equation and the Maxwell system, proposed to describe radiative flows in stars. We establish global-in-time existence for the associated initial-boundary value… read more here.
Keywords: global existence; existence weak; weak solution; magnetohydrodynamics ... See more keywords
A Rigorous Integrator and Global Existence for Higher-Dimensional Semilinear Parabolic PDEs via Semigroup Theory
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DOI: 10.1007/s10915-024-02785-x
Abstract: In this paper, we introduce a general constructive method to compute solutions of initial value problems of semilinear parabolic partial differential equations on hyper-rectangular domains via semigroup theory and computer-assisted proofs. Once a numerical candidate… read more here.
Keywords: existence; semigroup theory; global existence; via semigroup ... See more keywords
Global Existence in the Critical Space for the Space-Time Monopole Equations
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DOI: 10.1007/s44198-024-00241-w
Abstract: We prove the global existence of solutions in the critical space \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^1({\mathbb {R}})$$\end{document} for space-time monopole equations under the Lorenz gauge condition. The existence of a… read more here.
Keywords: space; global existence; space time; usepackage ... See more keywords
Global existence and boundedness of a forager-exploiter system with nonlinear diffusions
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DOI: 10.1016/j.jde.2020.12.028
Abstract: Abstract We study a forager-exploiter model with nonlinear diffusions { u t = ∇ ⋅ ( ( u + 1 ) m ∇ u ) − ∇ ⋅ ( u ∇ w ) , v… read more here.
Keywords: nonlinear diffusions; forager exploiter; existence boundedness; global existence ... See more keywords
Global existence for the p-Sobolev flow
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DOI: 10.1016/j.jde.2021.01.018
Abstract: Abstract In this paper, we study a doubly nonlinear parabolic equation arising from the gradient flow for p-Sobolev type inequality, referred as p-Sobolev flow. In the special case p = 2 our theory includes the… read more here.
Keywords: existence sobolev; global existence; flow; sobolev flow ... See more keywords