共查询到20条相似文献,搜索用时 31 毫秒
1.
Raúl Ferreira Arturo de Pablo Fernando Quirós Julio D. Rossi 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2006,57(4):586-594
We study the solutions of a parabolic system of heat equations coupled at the boundary through a nonlinear flux. We characterize
in terms of the parameters involved when non-simultaneous quenching may appear. Moreover, if quenching is non-simultaneous
we find the quenching rate, which surprisingly depends on the flux associated to the other component.
Partially supported by project BFM2002-04572 (Spain).
Partially supported by UBA grant EX046, CONICET and Fundación Antorchas (Argentina).
Received: February 17, 2004; revised: July 5, 2004 相似文献
2.
Erik Wahlén 《Archiv der Mathematik》2005,84(4):334-340
We present a blow-up criterion for the periodic Camassa-Holm equation. The condition obtained for blow-up uses two of the conservation laws associated with the equation and improves upon some recent results.Received: 18 June 2004 相似文献
3.
On a uniqueness theorem of Tohge 总被引:2,自引:0,他引:2
We prove a uniqueness theorem for meromorphic functions which improves a result of Tohge and answers an open question posed by him.Received: 8 July 2004 相似文献
4.
A. Muracchini T. Ruggeri L. Seccia 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2006,57(4):567-585
We study the second sound propagation in superfluid helium using the theoretical background developed in a recent paper [1],
through which this phenomenon, both in crystals and in Helium II, can be inserted in a unique framework. In particular, considering
an initial rectangular heat pulse and exploiting the selection rules of the physical shocks, a wide phenomenology of travelling
shock waves, including the very special case of double shocks, is explained.
(Received: February 17, 2004; revised: October 10, 2004) 相似文献
5.
Azmy S. Ackleh Keng Deng Xubo Wang 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2006,57(5):733-749
In this paper, we study a model that describes the dynamics of phytoplankton and zooplankton prey-predator system within the
context of phytoplankton aggregation. Existence-uniqueness results of the solution are established via a comparison principle
and the upper-lower solution technique.
(Received: December 12, 2004) 相似文献
6.
Simona Dabuleanu 《Journal of Evolution Equations》2005,5(1):35-60
We study the weak solvability of viscous Hamilton-Jacobi equation:
\,0,\,x\,\in\,\Omega,$" align="middle" border="0">
with Neumann boundary condition and irregular initial data 0. The domain
is a bounded open set and p > 0. The last part deals with the case a convex set and the initial data 0 = in a open set D such that
and
相似文献
7.
This paper deals with heat conduction in a semi-infinite cylinder using the generalized Maxwell-Cattaneo equations. Spatial decay bounds for the temperature and heat flux under two different types of boundary conditions are derived. For fixed time it is shown that in each case the solutions decay in appropriate measure like the exponential of a quadratic function of the distance from the base of the cylinder, whereas in previous work they had been shown to decay only at least as fast as the exponential of a linear function.Received: January 13, 2004 相似文献
8.
We propose results on interior Morrey, BMO and H?lder regularity for the strong solutions to linear elliptic systems of order 2b with discontinuous coefficients and right-hand sides belonging to the Morrey space Lp,λ.
Received: 20 October 2004 相似文献
9.
Alain Miranville Arnaud Rougirel 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2006,57(2):244-268
We consider the Cahn–Hilliard–Gurtin equation which corresponds, in the isotropic case, to the viscous Cahn–Hilliard equation.
The convergence of its solutions toward some steady state is investigated by means of a proper generalization of the Lojasiewicz–Simon
Theorem to nongradient-like flows. Furthermore, when the anisotropic coefficients are small, we prove that these steady states
can be approximated by the corresponding stationary solutions of the viscous Cahn–Hilliard equation provided that the latter
are local minimizers of the Ginzburg–Landau free energy.
Received: April 26, 2004; revised: February 24, 2005 相似文献
10.
An asymptotic formula for the voltage potential in the case of a near-surface conductivity inclusion
Habib Ammari Hyeonbae Kang Karim Touibi 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2006,57(2):234-243
We rigorously derive an asymptotic expansion of the steady-state voltage potentials in the presence of a conductivity inclusion
of small volume that is close to a planar surface. This new formula is motivated by the practically important inverse problem
of imaging a conductivity inclusion near a planar interface.
Partly supported by ACI Jeunes Chercheurs (0693) from the Ministry of Education and Scientific Research, France.
Partially supported by grant R02-2003-000-10012-0 from the Korea Science and Engineering Foundation.
Received: December 2, 2003; revised: January 18, 2004 相似文献
11.
Yachun Li Dongmei Feng Zejun Wang 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2005,56(2):239-253
We are concerned with global entropy solutions to the relativistic Euler equations for a class of large initial data which involve the interaction of shock waves and rarefaction waves. We first carefully analyze the global behavior of the shock curves, the rarefaction wave curves, and their corresponding inverse curves in the phase plane. Based on these analyses, we use the Glimm scheme to construct global entropy solutions to the relativistic Euler equations for the class of large discontinuous initial data.Received: May 23, 2004 相似文献
12.
N. I. Karachalios N. B. Zographopoulos 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2005,56(1):11-30
We study a real Ginzburg-Landau equation, in a bounded domain of
with a variable, generally non-smooth diffusion coefficient having a finite number of zeroes. By using the compactness of the embeddings of the weighted Sobolev spaces involved in the functional formulation of the problem, and the associated energy equation, we show the existence of a global attractor. The extension of the main result in the case of an unbounded domain is also discussed, where in addition, the diffusion coefficient has to be unbounded. Some remarks for the case of a complex Ginzburg-Landau equation are given.Received: May 6, 2002; revised: October 3, 2002 相似文献
13.
Barotropic flows of one-dimensional compressible Bingham fluids are considered. Long-time behavior of the corresponding initial-boundary
problem is investigated. The uniform upper and lower bounds for the density and a decay of the kinetic energy are established.
We admit a class of mass forces not considered for similar problems to Newtonian fluids. Under additional assumptions on the
mass force, we achieve strong estimates for the solution (uniformly in time) and decays of the velocity and its derivatives.
Received: April 14, 2004; revised: November 22, 2004 相似文献
14.
François Treves 《Milan Journal of Mathematics》2005,73(1):75-102
This article presents the Korteweg-de Vries hierarchy in the framework of the Lie algebra of B?cklund transformations and
points to the problems raised by its vanishing residues characterization.
This paper is in final form and no version of it will be submitted for publication elsewhere.
Leonardo da Vinci Lecture held on April 26, 2004 Received: February 2005 相似文献
15.
The global stability of Lipschitz continuous solutions
with discontinuous initial data is established in a broad class of
entropy solutions in
containing vacuum states. In
particular, the uniqueness of Lipschitz solutions with
discontinuous initial data is obtained in the broad class of
entropy solutions in
. 相似文献
16.
17.
Vladimir Varlamov 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2005,56(6):957-985
The Ostrovsky equation governs the propagation of long nonlinear surface waves in the presence of rotation. It is related
to the Korteweg-de Vries (KdV) and the Kadomtsev-Petviashvili models. KdV can be obtained from the equation in question when
the rotation parameter γ equals zero. A fundamental solution of the Cauchy problem for the linear Ostrovsky equation is presented
in the form of an oscillatory Fourier integral. Another integral representation involving Airy and Bessel functions is derived
for it. It is shown that its asymptotic expansion as γ → 0 contains the KdV fundamental solution as the zero term. The Airy
transform is used to establish some of its properties. Higher-order asymptotics for γ → 0 on a bounded time interval are obtained
for both the fundamental solution and the solution of the linear Cauchy problem for the Ostrovsky equation.
Received: November 23, 2004; revised: March 13, 2005
Research is supported by US Department of Defense, under grant No. DAAD19-03-1-0204 相似文献
18.
Zhaoli Liu Zhi-Qiang Wang 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2005,56(4):609-629
We obtain the existence of infinitely many nodal solutions for the Schrödinger type equation on
with
Here,
The nonlinearity f is symmetric in the sense of being odd in u, and may involve a combination of concave and convex terms.Received: November 11, 2003; revised: December 12, 2004Supported by NSFC:10441003 相似文献
19.
In this paper we study the existence of nontrivial solutions for the following system of coupled semilinear Poisson equations:
where is a bounded domain in
We assume that
and the function f is superlinear and with no growth restriction (for example f(s) = s es); then the system has a nontrivial (strong) solution. 相似文献
20.
David Hoff Eugene Tsyganov 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2005,56(5):791-804
We prove uniqueness and continuous dependence on initial data of weak solutions of the equations of compressible magnetohydrodynamics. The solutions we consider may exhibit discontinuities in density and in the gradients of velocity, temperature, and magnetic field. Continuous dependence is deduced by duality from existence and regularity of solutions of the adjoint of the first variation system. The analysis is complicated by the absence of strict parabolicity, the strong nonlinear coupling in the highest-order terms, and the lack of regularity in the coefficients of the adjoint system.Research supported in part by the NSF under Grant DMS-0305072.Received: May 5, 2004 相似文献