{"product_id":"benkouider-soufiane-nonlinear-evolution-equations-blow-up-stability-asymptotic-behavior-9786202431774","title":"Nonlinear Evolution Equations: Blow-up, Stability, Asymptotic Behavior","description":"This book investigates the blow-up phenomena, asymptotic behavior, and stability ofsolutions for several classes of nonlinear partial differential equations (PDEs), includingreaction-diffusion and wave-type equations with variable exponents, memory effects, andsingular coeffcients. The work is divided into four main parts.First, we study the blow-up phenomenon for nondegenerate parabolic PDEs in boundeddomains. By considering a nonnegative diffusion coeffcient a(x, t), we establish new blowup criteria and derive sharp lower and upper bounds for the blow-up time of semilinearreaction-diffusion equations and nonlinear equations involving the m(x, t)-Laplacian operator.Second, we analyze the initial-boundary value problem for Kirchhoff-type viscoelasticwave equations with Balakrishnan-Taylor damping, infinite memory, and time-varyingdelay. Under suitable assumptions on the relaxation function and initial data, we provethat the energy decays at a rate determined by the relaxation function, which may beneither exponential nor polynomial. Moreover, we establish a general stability resultunder a weak growth condition on the relaxation kernel.","brand":"LAP LAMBERT Academic Publishing","offers":[{"title":"Default Title","offer_id":53760168100182,"sku":null,"price":0.0,"currency_code":"EUR","in_stock":false}],"url":"https:\/\/www.momoxbooks.com\/products\/benkouider-soufiane-nonlinear-evolution-equations-blow-up-stability-asymptotic-behavior-9786202431774","provider":"momoxbooks","version":"1.0","type":"link"}