Parabolic Free Boundary Problem
A free boundary problem for a reaction diffusion equation appearing in biology
... This works studies a quasilinear, reaction-diffusion type parabolic free boundary problem mod- elling population dynamics. H¨older norm ´a priori estimates are established for the free ...
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An H1 Galerkin method for a Stefan problem with a quasilinear parabolic equation in non divergence form
... A Galerkin Method For a Single Phase Nonlinear Stefan Problem with Dirichlet Boundary Conditions, Submitted.. Free-Boundary Problems For Nonlinear Parabolic Equations With Nonlinear Free[r] ...
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A free boundary problem arising in the ecological models with N-species
... The free boundary problems often appear in different fields, such as physics, ecology and ...the free boundary problems of single equations, the linear problems describing the flow of fluids in a ...
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Analysis of the inverse problem in a time fractional parabolic equation with mixed boundary conditions
... inverse problem of determining an unknown coefficient k(x) in a one- dimensional time fractional parabolic ...this problem using the Fourier method of separation of variables with respect to the ...
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On a powder consolidation problem
... The problem of the consolidation of an aerated fine powder under gravity is consid- ...the problem is discussed and a mathematical model is ...a parabolic PDE, an ODE, and an integral equation ...
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On the Time Periodic Free Boundary Associated to Some Nonlinear Parabolic Equations
... periodic free boundary by adapting some of the energy methods developed since the beginning of the eighties for the study of nonlinear partial differential equations see ...
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Solving an inverse problem for a parabolic equation with a nonlocal boundary condition in the reproducing kernel space
... the parabolic inverse problem with nonlocal boundary and integral over-specified conditions based on the reproducing kernel space, is ...mesh free, easily implemented and it needs no time ...
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Porosity of the free boundary for quasilinear parabolic variational problems
... quasilinear parabolic variational problem with identically zero ...the free boundary is ...the free boundary is porous (in N dimensions) and therefore its Hausdorff dimension is ...
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INVERSE BOUNDARY-VALUE PROBLEM FOR LINEARIZED EQUATION OF MOTION OF A HOMOGENEOUS ELASTIC BEAM
... In many cases the practical requirements lead to the problems of determin- ing the coefficients or the right hand side of a differential equation (ordinary or in partial derivatives) from some known functional of its ...
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Regularity properties of degenerate convolution-elliptic equations
... convolution-elliptic operator is positive and is also a generator of an analytic semigroup. Finally, these results are applied to obtain the maximal regularity properties of the Cauchy problem for a degenerate ...
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Complete quenching phenomenon for a parabolic p Laplacian equation with a weighted absorption
... ball in R n (n ≥ 2). Under certain conditions of λ, n and α, Guo showed the stability of the minimal compact stationary solution and the instability of the singular stationary solu- tion of (1.4), respectively. Guo and ...
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Solvability of initial-boundary value problem of a multiple characteristic fifth-order operator-differential equation
... In this study, we establish existence-uniqueness of a vector function in appropriate Sobolev-type space for a boundary value problem of a fifth-order operator differential equation. Proper conditions are ...
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Asymptotics of solutions of second order parabolic equations near conical points and edges
... ever, we restrict ourselves to second order parabolic equations, and we consider only the first terms in the asymptotics. In our previous paper [], we obtained point estimates for the Green function. These ...
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Study of solutions to an initial and boundary value problem for certain systems with variable exponents
... We conclude this introduction by describing the outline of this paper. Some preliminary results, including existence of solutions to problem (.), are gathered in Section . The blow-up property of solutions are ...
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Continuous dependence on data for a solution of the quasilinear parabolic equation with a periodic boundary condition
... In this study we prove the continuous dependence of the solution u = u(x, t) upon the data ϕ(x) and f (x, t, u). In [], a similar iteration method is used with this kind of a local boundary condition for a ...
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An estimate on the thickness of boundary layer for nonlinear evolution equations with damping and diffusion
... of boundary layers is one of the most fundamental and important issues in fluid dynamics ...of boundary layers for the Navier-Stokes equations; see for instance [, –] and the references ...the ...
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Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method
... 16 A. Bouziani, N. Merazga, and S. Benamira, “Galerkin method applied to a parabolic evolution problem with nonlocal boundary conditions,” Nonlinear Analysis, vol. 69, no. 5-6, pp. 1515–1524, 2008. ...
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Study of the First Boundary Value Problem for a Fourth Order Parabolic Equation in a Nonregular Domain of
... order parabolic equation, set in a nonregular domain of R 3 obtained in [1], to the case where the domain is cylindrical, not with respect to the time variable, but with respect to N space variables, N > ...the ...
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Collocated Observer Design Based on Continuum Backstepping for a Class of Hyperbolic PDEs
... So far, most of existing results have been focused on the mathematical models as parabolic PDEs, wave PDEs and first-order hyperbolic PDEs. As common second- order hyperbolic PDEs can be considered as the ...
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Blow-up phenomena for a nonlinear parabolic problem with p-Laplacian operator under nonlinear boundary condition
... Since the initial data h(x) in () is nonnegative, it is easy to see that the solution u to problem ()-() is nonnegative in O × (, ∞ ) by the parabolic maximum principles [, ]. In Section , we plan ...
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