High precision compact numerical approximation in exponential form for the system of 2D quasilinear elliptic BVPs on a discrete irrational region. [PDF]
MethodsX, 2022 Mohanty RK +3 more
europepmc +1 more source
Determination of a diffusion coefficient in a quasilinear parabolic equation
Open Mathematics, 2017 Abstract This paper investigates the inverse problem of finding the time-dependent diffusion coefficient in a quasilinear parabolic equation with the nonlocal boundary and integral overdetermination conditions. Under some natural regularity and consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data ...
openaire +4 more sources
Solvability of a free-boundary problem describing the traffic flows
Electronic Journal of Differential Equations, 2015 We study a mathematical model of the vehicle traffic on straight freeways, which describes the traffic flow by means of equations of one-dimensional motion of the isobaric viscous gas.
Anvarbek Meirmanov +2 more
doaj
Second-Order Regularity for Degenerate Parabolic Quasi-Linear Equations in the Heisenberg Group
MathematicsIn the Heisenberg group Hn, we obtain the local second-order HWloc2,2-regularity for the weak solution u to a class of degenerate parabolic quasi-linear equations ∂tu=∑i=12nXiAi(Xu) modeled on the parabolic p-Laplacian equation. Specifically, when 2≤p≤4,
Chengwei Yu +3 more
doaj +1 more source
Locally Invariant Manifolds for Quasilinear Parabolic Equations
Rocky Mountain Journal of Mathematics, 1991 The paper is concerned with the geometric study of an evolution equation of the form \(x'-Lx=f(t,\lambda,x)\), where \(L:D(L)\to X\) is the generator of a holomorphic semigroup and the nonlinearity \(f\) acts essentially from some interpolation space \(D_ L(\theta+1)\) to \(D_ L(\theta)\).
openaire +2 more sources
A note on $W^{1,p}$ estimates for quasilinear parabolic equations
Electronic Journal of Differential Equations, 2002 This work deals with the study of the $W^{1,p}$ regularity for the solutions to parabolic equations in divergence form. An argument by perturbation based in real analysis is used.
Ireneo Peral, Fernando Soria
doaj
Electronic Journal of Differential EquationsIn this work, we obtain quantitative estimates of the continuity constant for the \(L^p\) maximal regularity of relatively continuous nonautonomous operators \(A : I \to \mathcal{L}{L}(D,X)\), where \(D \hookrightarrow X\) densely and compactly. They
Théo Belin, Pauline Lafitte
doaj +1 more source
On Regularized Systems of Equations for Gas Mixture Dynamics with New Regularizing Velocities and Diffusion Fluxes. [PDF]
Entropy (Basel), 2023 Zlotnik A, Lomonosov T.
europepmc +1 more source
Regularity for anisotropic quasi-linear parabolic equations with variable growth
Electronic Journal of Differential Equations, 2019 In this article, we study a class of anisotropic quasi-linear parabolic equations with variable exponents. Following DiBenedetto's intrinsic scaling method, we prove local continuity of solutions under the condition for which only local boundedness ...
Hamid El Bahja
doaj
A new spline technique for the time fractional diffusion-wave equation. [PDF]
MethodsX, 2023 Singh S, Singh S, Aggarwal A.
europepmc +1 more source