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A note on global smoothing effects for the unitary group associated with the B-O equation
, 2017In this note we show a global smoothing effects for the unitary group associated to B-O type equation.
C. Hernandez, L. Preciado
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Solitary wave solutions for variant two-dimensional Zakharov-Kuznetsov equation
, 2017We show the existence, of solitary waves associated to the following equation ut + ∂x4u−H∂ xu + uux = 0, where H is the Hilbert transform with respect to x.
R. Hernández +2 more
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A Hopf bifurcation of one dimensional attraction-repulsion chemotaxis system
, 2015This paper is concerned with an one dimensional attraction-repulsion chemotaxis system under homogeneous Neumann boundary conditions. We derive a free boundary problem of this system and examine the existence of stationary solutions and Hopf bifurcation ...
Yoonmee Ham
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Critical Exponents for the Heat Conduction Equation with a Nonlinear Boundary Condition
, 2013We consider the heat conduction equation ut = ∇·(|∇u| m−1 ∇u )( m> 1),x∈ R N ,t >0, subject to the nonlinear boundary condition −|∇u| m−1 ∂u ∂x1 = u p ,x1 =0 ,t >0, in multi-dimension.
W. Du, Zhongping Li
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Existence and stability of singular heteroclinic orbits for the Ginzburg - Landau equation
, 1996The existence and stability of travelling waves of the Ginzburg - Landau equation is considered. The waves in question exist on a slow manifold in phase space and connect two stable plane waves with different wave numbers. The existence of these waves is
T. Kapitula
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Verification of Biomedical Processes with Anomalous Diffusion, Transport and Interaction of Species
Nonlinear Physical Science, 2020M. Efendiev, V. Vougalter
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Abstract Parabolic Evolution Equations and their Applications
, 2009A. Yagi
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