Oblique derivative problems for generalized Rassias equations of mixed type with several characteristic boundaries.
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Displaying 1 – 20 of 24
On a Kirchhoff-Carrier equation with nonlinear terms containing a finite number of unknown values
Nguyen Vu Dzung, Le Thi Phuong Ngoc, Nguyen Huu Nhan, Nguyen Thanh Long (2024)
Mathematica Bohemica
We consider problem (P) of Kirchhoff-Carrier type with nonlinear terms containing a finite number of unknown values with By applying the linearization method together with the Faedo-Galerkin method and the weak compact method, we first prove the existence and uniqueness of a local weak solution of problem (P). Next, we consider a specific case of (P) in which the nonlinear term contains the sum . Under suitable conditions, we prove that the solution of converges to the solution of the corresponding...
On a mixed problem for a coupled nonlinear system.
Clark, M.R., Lima, O.A. (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
On a nonlocal problem for a confined plasma in a Tokamak
Weilin Zou, Fengquan Li, Boqiang Lv (2013)
Applications of Mathematics
The paper deals with a nonlocal problem related to the equilibrium of a confined plasma in a Tokamak machine. This problem involves terms and , which are neither local, nor continuous, nor monotone. By using the Galerkin approximate method and establishing some properties of the decreasing rearrangement, we prove the existence of solutions to such problem.
On a phase-field model with a logarithmic nonlinearity
Alain Miranville (2012)
Applications of Mathematics
Our aim in this paper is to study the existence of solutions to a phase-field system based on the Maxwell-Cattaneo heat conduction law, with a logarithmic nonlinearity. In particular, we prove, in one and two space dimensions, the existence of a solution which is separated from the singularities of the nonlinear term.
On a Solution of Degenerate Elliptic-parabolic Systems in Orlicz-Sobolev Spaces II.
Jozef Kacur (1990)
Mathematische Zeitschrift
On a Solution of Degenerate Elliptic-parabolic Systems in Orlicz-Sobolev Spaces I.
Jozef Kacur (1990)
Mathematische Zeitschrift
On coupling of a first order hyperbolic system with an elliptic equation.
Bochorishvili, R., Jaiani, D. (1999)
Bulletin of TICMI
On Jeffreys model of heat conduction
Maksymilian Dryja, Krzysztof Moszyński (2001)
Applicationes Mathematicae
The Jeffreys model of heat conduction is a system of two partial differential equations of mixed hyperbolic and parabolic character. The analysis of an initial-boundary value problem for this system is given. Existence and uniqueness of a weak solution of the problem under very weak regularity assumptions on the data is proved. A finite difference approximation of this problem is discussed as well. Stability and convergence of the discrete problem are proved.
On representation of a solution to a modified Cauchy problem.
Mamadaliev, N.K. (2000)
Siberian Mathematical Journal
On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems.
Ashyralyev, Allaberen, Gercek, Okan (2010)
Abstract and Applied Analysis
On some boundary value problems for one mixed equation with discontinuous coefficients in a rectangular domain.
Eleev, V.A., Zhemukhova, Z.Kh. (2002)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
On steady compressible Navier-Stokes equations in plane domains with corners.
S.A. Nazarov, A. Novotny, K. Pileckas (1996)
Mathematische Annalen
On the linear force-free fields in bounded and unbounded three-dimensional domains
Tahar-Zamène Boulmezaoud, Yvon Maday, Tahar Amari (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Linear Force-free (or Beltrami) fields are three-components divergence-free fields solutions of the equation curlB = αB, where α is a real number. Such fields appear in many branches of physics like astrophysics, fluid mechanics, electromagnetics and plasma physics. In this paper, we deal with some related boundary value problems in multiply-connected bounded domains, in half-cylindrical domains and in exterior domains.
On the mixed partial differential equations in n independent variables
Chaohao Gu (1980)
Journées équations aux dérivées partielles
On the parabolic potentials in degenerate-type heat equation.
Malyshev, Igor (1991)
Journal of Applied Mathematics and Stochastic Analysis
On the question of existence of a solution to the Tricomi problem for one class of systems of mixed-type equations.
Sabitov, K.B., Mugafarov, M.F. (2002)
Sibirskij Matematicheskij Zhurnal
On the regularity of the variational solution of the Tricomi problem in the elliptic region
M. Vanninathan, G. D. Veerappa Gowda (1985)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
On the solution of transonic flows with weak shocks
Miloslav Feistauer, Jindřich Nečas (1986)
Commentationes Mathematicae Universitatis Carolinae
On the solvability of boundary value problems for a quasilinear system of equations of mixed and composite type in a multidimensional domain.
Nurmamedov, M.A. (2010)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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