Results 31 to 40 of about 22,806,811 (229)

On multi-periodic solutions of quasilinear autonomous systems with an operator of differentiation on the Lyapunov’s vector field

Қарағанды университетінің хабаршысы. Математика сериясы, 2019
A quasilinear autonomous system with an operator of differentiation with respect to the characteristic directions of time and space variables associated with a Lyapunov’s vector field is considered.
Zh.A. Sartabanov, B.Zh. Omarova
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Quasilinear systems with linearizable characteristic webs [PDF]

, 2016
We classify quasilinear systems in Riemann invariants whose characteristic webs are linearizable on every solution. Although the linearizability of an individual web is a rather nontrivial differential constraint, the requirement of linearizability of ...
Agafonov, S. I., Ferapontov, E. V., Novikov, V. S.   +2 more
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Regularity of weak solutions to obstacle problems for nondiagonal quasilinear degenerate elliptic systems

Journal of Inequalities and Applications, 2019
Let X={X1,…,Xm} $X=\{X_{1} ,\ldots ,X_{m} \}$ be a system of smooth real vector fields satisfying Hörmander’s rank condition. We consider the interior regularity of weak solutions to an obstacle problem associated with the nonhomogeneous nondiagonal ...
Guangwei Du, Kelei Zhang, Yan Dong
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On quasilinear parabolic systems

Mathematische Annalen, 1988
We prove local existence results for second order quasilinear parabolic systems with nonlinear boundary conditions in the class \[ C^{1+\alpha}([t_ 0,\tau],[L^ p(\Omega)]^ N)\cap C^{\alpha}([t_ 0,\tau],[W^{2,p}(\Omega)]^ N), \] where \(\alpha\) \(\in]0,[\), \(p>n\). Further space regularity properties are also shown.
ACQUISTAPACE, PAOLO, TERRENI B.
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Dynamics of electron beams in the solar corona plasma with density fluctuations [PDF]

, 2001
The problem of beam propagation in a plasma with small scale and low intensity inhomogeneities is investigated. It is shown that the electron beam propagates in a plasma as a beam-plasma structure and is a source of Langmuir waves.
Benz, Benz, Cairns, Chaizy, Churaev, Coste, Cronyn, E. P. Kontar, Ginzburg, Goldman, Gopalswamy, Hishikawa, Kontar, Kontar, Kontar, Lapshin, Lin, Magelssen, Melrose, Melrose, Melrose, Muschietti, Papadopoulos, Robinson, Robinson, Robinson, Ryutov, Ryutov, Smith, Takakura, Takakura, Thejappa, Vedenov   +32 more
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Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates [PDF]

, 2007
In recent work, we used pseudo-differential theory to establish conditions that the initial-boundary value problem for second order systems of wave equations be strongly well-posed in a generalized sense. The applications included the harmonic version of
Kreiss, H. -O., Reula, O., Sarbach, O., Winicour, J.   +3 more
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Regularity and uniqueness in quasilinear parabolic systems [PDF]

Applications of Mathematics, 2011
Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, and continuous data dependence of solutions to a coupled parabolic system in a smooth bounded 3D domain, with nonlinear and nonhomogeneous boundary conditions. The nonlinear coupling takes place in the diffusion coefficient.
Krejčí, Pavel, Panizzi, Lucia
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Nonlinear Hodge maps

, 2000
We consider maps between Riemannian manifolds in which the map is a stationary point of the nonlinear Hodge energy. The variational equations of this functional form a quasilinear, nondiagonal, nonuniformly elliptic system which models certain kinds of ...
Hardt R., Liao G., Lichnerowicz A., Otway T. H., Otway T. H., Serrin J., Serrin J., Sibner L. M., Sibner L. M., Sibner L. M., Sibner L. M., Sibner L. M., Takakuwa S., Thomas H. Otway, Uhlenbeck K., Yang D.   +15 more
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Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations

Advances in Differential Equations, 2019
In this paper, we suggest a new exponential implicit method based on full step discretization of order four for the solution of quasilinear elliptic partial differential equation of the form A(x,y,z)zxx+C(x,y,z)zyy=k(x,y,z,zx,zy)$A ( x,y,z ) z_{xx} +C ...
R. K. Mohanty, Geetan Manchanda, Arshad Khan   +2 more
semanticscholar   +1 more source

Holder Solvability of Quasi-Linear Parabolic Systems in the Divergent Form

Pan-American Journal of Mathematics
In this article, we consider a quasilinear parabolic system under fair general conditions with form-boundary conditions on the singular coefficients. We establish the requirements on the structural coefficients of the parabolic system under which the ...
Mykola Yaremenko
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