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General decay of energy for a viscoelastic equation with nonlinear damping
  • X. Han, M. Wang
  • Physics, Computer Science
  • J. Frankl. Inst.
  • 1 June 2010
TLDR
In this paper, we investigate a nonlinear viscoelastic equation with nonlinear damping. Expand
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General Decay Estimate of Energy for the Second Order Evolution Equations with Memory
In this paper, the decay estimate of the energy of mild solutions is established for the second order evolution equations with memory. Our approach is based on the Lyapunov functional and perturbedExpand
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GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR A LOGARITHMIC WAVE EQUATION ARISING FROM Q-BALL DYNAMICS
  • X. Han
  • Mathematics
  • 31 January 2013
In this paper we investigate an initial boundary value prob- lem of a logarithmic wave equation. We establish the global existence of weak solutions to the problem by using Galerkin method,Expand
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Doubly periodic self-dual vortices in a relativistic non-Abelian Chern–Simons model
In this paper we establish a multiplicity result concerning the existence of doubly periodic solutions in a $$2\times 2$$ nonlinear elliptic system arising in the study of self-dual non-AbelianExpand
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THE GENERALIZED RIEMANN PROBLEM FOR FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS I
In this paper, we consider a generalized Riemann problem of the first order hyperbolic conservation laws. For the case that excludes the centered wave, we prove that the generalized Riemann problemExpand
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Existence theorems for non-Abelian Chern--Simons--Higgs vortices with flavor
In this paper we establish the existence of vortex solutions for a Chern--Simons--Higgs model with gauge group $SU(N) \times U(1)$ and flavor SU(N), these symmetries ensuring the existence of genuineExpand
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The Generalized Riemann Problem for First Order Quasilinear Hyperbolic Systems of Conservation Laws II
In this paper, we are concerned with the existence and uniqueness of the local solution to the generalized Riemann problem for first order quasi-linear hyperbolic systems of conservation laws in theExpand
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A Sharp Existence Theorem for Vortices in the Theory of Branes
  • X. Han
  • Mathematics, Physics
  • 7 October 2011
In this paper, we investigate the existence of solutions for a system of BPS vortex equations arising from the theory of multiple intersecting D-branes. Using a direct minimization method, weExpand
Existence of Doubly Periodic Vortices in a Generalized Chern--Simons Model
  • X. Han
  • Mathematics, Physics
  • 12 February 2012
We establish an existence theorem for the doubly periodic vortices in a generalized self-dual Chern--Simons model. We show that there exists a critical value of the coupling parameter such that thereExpand
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Relativistic Chern–Simons–Higgs vortex equations
An existence theorem is established for the solutions to the non-Abelian relativistic Chern-Simons-Higgs vortex equations over a doubly periodic domain when the gauge group G assumes the most generalExpand
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