Results 61 to 70 of about 1,483,225 (280)
Advances in Difference Equations, 2018 In this paper, we give the definitions of q,ω $q,\omega $-exponential function and q,ω $q,\omega $-gamma function. New concepts of fractional Hahn’s q,ω $q,\omega $-derivative of Riemann–Liouville type and Caputo type are introduced, meanwhile we discuss
Yizhu Wang, Yiding Liu, Chengmin Hou
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On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity [PDF]
, 2011 In this short note, we study the local well-posedness of a 3D model for incompressible Navier-Stokes equations with partial viscosity. This model was originally proposed by Hou-Lei in \cite{HouLei09a}.
Hou, Thomas Y., Shi, Zuoqiang, Wang, Shu
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Global solution to the Allen-Cahn equation with singular potentials and dynamic boundary conditions
, 2012 We prove well-posedness results for the solution to an initial and boundary-value problem for an Allen-Cahn type equation describing the phenomenon of phase transitions for a material contained in a bounded and regular domain.
Allen +26 more
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A hyperbolic problem with nonlinear second-order boundary damping
Electronic Journal of Differential Equations, 1998 The initial boundary value problem for the wave equation with nonlinear second-order dissipative boundary conditions is considered. Existence and uniqueness of global generalized solutions are proved.
G. G. Doronin, N. A. Larkin, A. J. Souza
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, 2015 We are concerned with the inverse problem of determining both the potential and the damping coefficient in a dissipative wave equation from boundary measurements. We establish stability estimates of logarithmic type when the measurements are given by the
Ammari, Kaïs, Choulli, Mourad
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Initial boundary value problem for generalized Zakharov equations with nonlinear function terms
Boundary Value Problems, 2020 In this paper, we consider the initial boundary value problem for generalized Zakharov equations. Firstly, we prove the existence and uniqueness of the global smooth solution to the problem by a priori integral estimates, the Galerkin method, and ...
Xueqin Wang, Yadong Shang, Chunlin Lei
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Initial-Boundary Value Problems for Conservation Laws
Journal of Differential Equations, 1996 The paper begins with an analysis of Riemann type problems for systems of hyperbolic conservation laws that arise when considering boundary conditions. These considerations lead naturally to an extension of Glimm's existence theorem to initial boundary value problems.
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Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system
, 2017 It is well-known that the Neumann initial-boundary value problem for the minimal-chemotaxis-logistic system in a 2D bounded smooth domain has no blow-up for any choice of parameters. Here, for a large class of kinetic terms including sub-logistic sources,
Xiang, Tian
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Initial boundary value problem for a system in elastodynamics with viscosity
Electronic Journal of Differential Equations, 2005 In this paper we prove existence of global solutions to boundary-value problems for two systems with a small viscosity coefficient and derive estimates uniform in the viscosity parameter. We do not assume any smallness conditions on the data.
Kayyunnapara Thomas Joseph
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Integro-differential IBVP versus differential IBVP: stability analysis [PDF]
, 1993 The aim of this paper is the qualitative analysis from theoretical and numerical points of view of an integro-di erential initial boundary value problem where the reaction term presents a certain memory e ect. Stability results are established in both
Branco, J. R., Ferreira, J. A.
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