On the existence of solutions of a nonlocal elliptic equation with a -Kirchhoff-type term.
Corrêa, Francisco Julio S.A., Nascimento, Rúbia G. (2008)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Global existence for a system of nonlocal PDEs with applications to chemically reacting incompressible fluids”
On the existence of solutions of a nonlocal elliptic equation with a -Kirchhoff-type term.
Uniform decay for a hyperbolic system with differential inclusion and nonlinear memory source term on the boundary
Jong Yeoul Park, Sun Hye Park (2009)
Czechoslovak Mathematical Journal
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We prove the existence and uniform decay rates of global solutions for a hyperbolic system with a discontinuous and nonlinear multi-valued term and a nonlinear memory source term on the boundary.
Local existence of solutions of the free boundary problem for the equations of compressible barotropic viscous self-gravitating fluids
G. Ströhmer, W. Zajączkowski (1999)
Applicationes Mathematicae
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Local existence of solutions is proved for equations describing the motion of a viscous compressible barotropic and self-gravitating fluid in a domain bounded by a free surface. First by the Galerkin method and regularization techniques the existence of solutions of the linearized momentum equations is proved, next by the method of successive approximations local existence to the nonlinear problem is shown.
Global solutions for a nonlinear wave equation with the -Laplacian operator.
Gao, Hongjun, Ma, To Fu (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Numerical discrete algorithm for some nonlinear problems.
Sburlan, Cristina (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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On evolution inequalities of a modified Navier-Stokes type. II
Manfred Müller, Joachim Naumann (1978)
Aplikace matematiky
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The present part of the paper continues the study of the abstract evolution inequality from the first part. Theorem 1 states the existence and uniqueness of a weak solution to the evolution inequality under consideration. The proof is based on the method of approximation of the weak solution by a sequence of strong solutions. Theorem 2 yields two regularity results for the strong solution.