[PDF] Top 20 The local well-posedness of solutions for a nonlinear pseudo-parabolic equation
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The local well-posedness of solutions for a nonlinear pseudo-parabolic equation
... the pseudo-parabolic model (see Ting [], Showalter and Ting ...The pseudo-parabolic equation has many important physical backgrounds such as the seepage of homogeneous fluids through a ... See full document
8
The local well-posedness and stability to a nonlinear generalized Degasperis-Procesi equation
... non-smooth solutions by constructing a Lax ...wave solutions of Eq. (), while Coclite and Karlsen [] established the well-posedness of periodic weak solutions for ...weak ... See full document
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The local strong and weak solutions to a generalized Novikov equation
... which has been investigated by many scholars. Grayshan [] studied both the periodic and the non-periodic Cauchy problem for Eq. () and discussed continuity results for the data-to-solution map in the Sobolev spaces. A ... See full document
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The global stabilization of the Camassa-Holm equation with a distributed feedback control
... of solutions in the form of peaked solitary waves for k = ...the equation has breaking waves []. In other words, the solutions remain bounded while their slopes become unbounded in finite ...the ... See full document
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Blow up of solutions for a class of fourth order nonlinear pseudo-parabolic equation with a nonlocal source
... the local existence for a generalized solution of the mixed problem un- der consideration by combining generalized contracted mapping principle and Schauder’s fixed point principle and then proved the global ... See full document
9
On the well-posedness of the incompressible porous media equation in Triebel-Lizorkin spaces
... smooth solutions. Recently, they proved non-uniqueness for weak solutions of (IPM) in ...strong solutions, weak solutions and ...obtained local results in H s , s > (N – α)/ + and ... See full document
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The well-posedness of an anisotropic parabolic equation based on the partial boundary value condition
... elliptic equation containing a singular potential in ...of solutions for positive values of the parameter under the principal eigenvalue of the associated singular eigenvalue ...studied nonlinear ... See full document
14
Well posedness of delay parabolic difference equations
... the well-posedness of the difference schemes for the approximate solutions of the initial value problem for delay parabolic equations with unbounded op- erators acting on delay terms in an ... See full document
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Local Boundedness of Weak Solutions for Nonlinear Parabolic Problem with Growth
... Remark 3.1. In this paper, we study the boundedness of weak solution in the case p − > max{1, 2N/N 2}. For the singular case 1 < p − ≤ max{1, 2N/N 2}, the conditions in the paper are not enough. In 22, there is a ... See full document
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Exact solutions of Benjamin-Bona-Mahony-Burgers-type nonlinear pseudo-parabolic equations
... called pseudo-parabolic and they are a special case of Sobolev ...the equation and were studied by Sobolev ...[–]. Equation () arises as a mathematical model for the unidirectional ... See full document
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The weak solutions of a doubly nonlinear parabolic equation related to the \(p(x)\) Laplacian
... well-known that the well-posedness problem of weak solutions had been solved perfectly. However, since Eq. (1.4) is with nonstandard growth, it cannot been transformed to an- other ... See full document
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On stability with respect to boundary conditions for anisotropic parabolic equations with variable exponents
... and a new approach to prescribe the boundary value condition rather than define the Fichera function was formulated by Yin and Wang [6]. However, since equation (1.4) is anisotropic and with the variable exponents, ... See full document
18
Existence of solutions for a nonlinear hyperbolic parabolic equation in a non cylinder domain
... [8] studied the existence and uniqueness of global weak solutions for nonlinear equations associated with problem II with nonlinearity of... In this work w, stlx" the following prolhn Lo[r] ... See full document
10
Global attractor for the generalized hyperelastic-rod equation
... hyperelastic-rod equation we studied is one-dimensional, and the op- erator ∇ acting on u(x, t) is not identically vanishing, so b(u, v, ω) = cannot be ... See full document
14
Periodic solutions of a quasilinear parabolic equation with nonlinear convection terms
... quasilinear parabolic equation with nonlocal ...periodic solutions. In this paper, we consider the quasilinear parabolic equation ...weakly nonlinear sources and non- linear ... See full document
7
Some Features for Blow-up Solutions of a Nonlinear Parabolic Equation
... of solutions of a parabolic differential equation by blow-up rates”, ...of solutions to the Initial-Boundary value problem for u t = uu xx ... See full document
8
On the well-posedness of generalized Darcy–Forchheimer equation
... of nonlinear differential equations are seen in many fields (see ...the nonlinear correction to Darcy’s law has been an active area of research for many ...generalized nonlinear Darcy–Forchheimer equa- ... See full document
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To Asymptotic of the Solution of the Heat Conduction Problem with Double Nonlinearity with Absorption at a Critical Parameter
... of solutions of the Cauchy problem for a nonlinear parabolic equation with a double nonlinearity, describing the diffusion of heat with nonlinear heat absorption at the critical value ... See full document
13
On a nonolinear wave equation in unbounded domains
... Global solutions of the Cauc]ly problem for a nonlinear hyperbolic equation, Universit di Pisa, Dipartamento di Matematica, Roma 1982... Local solutions for Nonlinear Anal.[r] ... See full document
8
On the Well Posedness for Optimization Problems: A Theoretical Investigation
... of well-posedness and of well-posedness in the generalized sense for scalar optimization problems are presented and some important results are ...of well-posedness, re- ... See full document
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