Results 21 to 30 of about 27,775 (268)
Journal of Applied Mathematics, 2012 We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result.
Yongsheng Mi, Chunlai Mu, Weian Tao
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Lower Bound on the Blow-up Rate of the Axisymmetric Navier–Stokes Equations [PDF]
International Mathematics Research Notices, 2008 Consider axisymmetric strong solutions of the incompressible Navier-Stokes equations in $\R^3$ with non-trivial swirl. Such solutions are not known to be globally defined, but it is shown in \cite{MR673830} that they could only blow up on the axis of symmetry. Let $z$ denote the axis of symmetry and $r$ measure the distance to the z-axis.
Chen, C.-C. +3 more
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Nonlinear Analysis, 2016 This paper is concerned with a nonlocal reaction-diffusion equation with the nonlocal source and interior absorption with Dirichlet conditions or Neumann conditions.
Jiashan Zheng
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Blow-Up Phenomena for Nonlinear Reaction-Diffusion Equations under Nonlinear Boundary Conditions
Journal of Function Spaces, 2016 This paper deals with blow-up and global solutions of the following nonlinear reaction-diffusion equations under nonlinear boundary conditions: g(u)t=∇·au∇u+fu in Ω×0,T, ∂u/∂n=bx,u,t on ∂Ω×(0,T), u(x,0)=u0(x)>0, in Ω¯, where Ω⊂RN (N≥2) is a ...
Juntang Ding
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Boundary Value Problems, 2018 This article is concerned with the decay and blow-up properties of a nonlinear viscoelastic wave equation with strong damping. We first show a local existence theorem.
Qian Li, Luofei He
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Systems with Local and Nonlocal Diffusions, Mixed Boundary Conditions, and Reaction Terms
Abstract and Applied Analysis, 2018 We study systems with different diffusions (local and nonlocal), mixed boundary conditions, and reaction terms. We prove existence and uniqueness of the solutions and then analyze global existence vs blow up in finite time.
Mauricio Bogoya, Julio D. Rossi
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On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on ℝN
Advances in Nonlinear Analysis, 2021 We are devoted to the study of a semilinear time fractional Rayleigh-Stokes problem on ℝN, which is derived from a non-Newtonain fluid for a generalized second grade fluid with Riemann-Liouville fractional derivative.
He Jia Wei +3 more
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Numerical Blow-Up Time for a Semilinear Parabolic Equation with Nonlinear Boundary Conditions
Journal of Applied Mathematics, 2008 We obtain some conditions under which the positive solution for semidiscretizations of the semilinear equation ut=uxx−a(x,t)f(u ...
Louis A. Assalé +2 more
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Journal of Inequalities and Applications, 2019 In this article, we investigate a system of two viscoelastic equations with Dirichlet boundary conditions. Under some suitable assumptions on the function gi(⋅) $g_{i}(\cdot )$, fi(⋅,⋅) $f_{i}(\cdot ,\cdot )$ ( i=1,2 $i=1,2$) and the initial data, we ...
Luofei He
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Abstract and Applied Analysis, 2014 We discuss the global and blow-up solutions of the following nonlinear parabolic problems with a gradient term under Robin boundary conditions: (b(u))t=∇·(h(t)k(x)a(u)∇u)+f(x,u,|∇u|2,t), in D×(0,T), (∂u/∂n)+γu=0, on ∂D×(0,T), u(x,0)=u0(x)>0, in D¯, where
Lingling Zhang, Hui Wang
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